Cameron earns an hourly wage at his job. He makes a table of the number of hours he works each week and the amount of money he earns. Assume that Cameron works between 2 and 8 hours a​ day, for 5 days per week. Identify the constraints on the domain. Describe the domain using inequality or​ set-builder notation

Answers

Answer 1

For Cameron's job, the restrictions on the domain are 168 hours for the hourly rate.

Define the term ​set-builder form?x: Characteristic of x or x | Characteristics of x is the generalized form of such a set-builder notation. Here, the letter x (but other letters, such as y, z, a, b, or c, may also be used) is used to represent a set element, and it is followed by either a colon (":") or a vertical line ("|").

The total number of hours affects how much money is made.

This suggests that the amount of money made is the result of the number of hours put in.

A week can only have a total of 168 hours (24 x 7).

Thus, the domain for the hourly wage of Cameron.

24 x 7 < 168

Since 168 hours is the maximum that can be completed in a week, this represents the constraint mostly on domain.

To know more about the set-builder form, here

https://brainly.com/question/14657951

#SPJ4


Related Questions

A DJ added 20 more songs to his MP3 player, making the total more than 61. How many songs were originally on the player?

Answers

The number of songs that were originally on the player is 41.

What is an expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this situation, a DJ added 20 more songs to his MP3 player, making the total more than 61. The number of songs will be the subtraction of the value.

This will be:

= 61 - 20

= 41

The original songs are 41.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

b. if we want to get a 80% confidence interval with a small margin of error, say only 8%. how many people do you need to sample?

Answers

The number of people needed will be approx 65.

Margin of error = Critical value x Standard deviation for the population.

Margin of error = Critical value x Standard error of the sample.

Given, Margin of error (m) = 0.08

          z (at 80% confidence level)=1.282

Sample size(n) = (z/m)^2 p (1-p)

In order to find the sample size, we must know the value of proportion.

The value of proportion is missing so, in the absence of proportion, we will consider it as 0.5.

p = 0.5

∴ Sample size = (z/m)^2 p (1-p)

                       = (1.282/0.08)^2 × 0.5 × (1-0.5)

                       = 65

Inferential statistics is a statistical method that deduces from a small but representative sample the characteristics of a bigger population. In other words, it allows the researcher to make assumptions about a wider group, using a smaller portion of that group as a guideline.

Learn more about Inferential statistics

brainly.com/question/11215148

#SPJ4

describe how the line best fit and the correlation coefficient can be used to determine the correlation between

Answers

Using line of best fit and correlation coefficient, the correlation coefficient of determination represent the percentage of data that is closest to the lines of best fit.

What is line of best fit?

Line of best fit refers to the "a line through a scatter plot of data points that best expresses relationship between those points". Lines of best fit is used to describe data and predict data where the new data will appear. Examples for lines of best fit is 'Least square method'.

Two variables are said to be correlated or to have a correlation coefficient when "changes in the value of one variable produce changes in the variable of the other variable."

In order to find the correlation between two variables on a graph, the question asks for the line of best fit and correlation coefficient.

Only when there is a linear correlation between the variables—that is, when the relationship between the variables is linear on a graph—does the correlation coefficient hold true.

Variation in "x" on the graph leads to variation in "y." Variation in "y" on the graph results in variation in "x." The variables "x" and "y" are jointly dependent on the graph.

The correlation coefficient between two variables on the graph is calculated in this manner.

Hence, using line of best fit and correlation coefficient, the correlation coefficient of determination represent the percentage of data that is closest to the lines of best fit.

To know more about line of best fit, click on the link

https://brainly.com/question/12602565

#SPJ4

The greatest common factor of 48 and z, some unknown positive integer, is 12. There are two possible values for z between 10 and 30. What is the difference between these two values?.

Answers

The greatest common factor being 12, the difference between the two values is 12.

What is GCD?

The greatest common divisor (GCD) from mathematics is the largest positive integer that splits each of two or more non-zero integers.

The symbol gcd stands for the greatest common divisor of the two integers x and y.

For instance, gcd(8,12)=4 is the GCD of the numbers 8 and 12.

According to the given question:

The greatest common factor of 48 and z, some unknown positive integer, is 12. There are two possible values for z between 10 and 30.

Now there are only two numbers between 10 and 30 which has a factor of 12.

The numbers are 12 and 24.

Hence the difference between these two numbers is 24 - 12 = 12

Therefore the required value is 12.

To learn more about greatest common factor visit:

brainly.com/question/11221202

#SPJ4

(4,0)(2-9) simplest radical form

Answers

The distance between two points (4, 0) and (2, -9) is √85 units in the simplest radical form.

What is meant by distance between two points?

The length of the line segment connecting two points in a plane is defined as the distance between them. The formula for calculating the distance between two points is commonly presented as √(x₂-x₁)²+(y₂-y₁)².

Distances in geometry are usually positive, unless when the points coincide. We consider two points A(a, b) and B to obtain the formula for the distance between two points in the plane (c, d).

The given two points are (4, 0), (2, -9).

Distance between two points is given by,

Distance=√(x₂-x₁)²+(y₂-y₁)²

Where x₁, x₂, y₁, y₂ are the points.

So, the distance between (4, 0) and (2, -9)

=√(2-4)²+(-9-0)²

=√4+81

=√85 units

Therefore, the distance between two points (4, 0) and (2, -9) is √85 units in the simplest radical form.

To know more about radical form, visit:

https://brainly.com/question/27272065

#SPJ1

Simplify the expression 4(x+7) using combining like terms or distributive property.

Answers

4x+28 because u distribute it

Answer:

4x+28

4 multiplied by x is just 4x and 4x7 is 28

Keiko is using metric units of capacity to find an equivalent measure for 3 gallons. She records the liquid volume using milliliters and deciliters. Which unit will give a more precise measure? Explain. ​

Answers

If she records the liquid volume using milliliter and deciliter, then the deciliter gives more precise measure

The total capacity = 3 gallon

Convert the gallon to milliliter

We know

1 gallon = 3.785 ml

The total capacity in milliliter = The total capacity × 3.785

Substitute the values in the equation

= 3 × 3.785

= 11.355 milliliter

Convert the gallon to deciliter

We know,
1 gallon = 37.854 deciliter

Total capacity in deciliter = The total capacity × 37.854

Substitute the values in the equation

= 3 × 37.854

= 113.562 deciliter

Here deciliter is much smaller than millimeter

Therefore, deciliter gives more precise measure

Learn more about liquid volume here

brainly.com/question/14535251

#SPJ4

for a period of time, an island's population grows exponentially. if the population doubles every 17 years and the current population is 1,725, what will the population be 10 years from now?

Answers

After 10 years the population growth will be 3054, if the population doubles after every 17 years.

What is Exponential function?

A mathematical function with the form f (x) = ae^x is an exponential function. "x" is a variable, and "a" is a constant that serves as the function's base and must be greater than 0. The transcendental number e, or roughly 2.71828, is the base for exponential functions that is most frequently used.

Growth rate = 100% in 17 years

  In 1 year = 5.88% growth

Initial population = P₀ = 1725

Time = 17 years

So, after 10 years population

        P= P₀ ( 1 + [tex]\frac{r}{100}[/tex])^t

           = 1725 ( 1 + 5.88/100 )^10

           =≈ 1725 * 1.77

           =≈ 3054

Hence, the population growth after 10 years at the rate of 5.88 % would be 3054.

To learn more about Exponential function, visit:

https://brainly.com/question/14355665

#SPJ4

The perimeter of the rectangle and the triangle shown are the same. Write an equation to represent this situation, and solve for x. Then, find the perimeter of each shape.

Answers

An equation to represent this situation is 16x - 5 = 14x + 1. The value of x is equal to 3.

The perimeters of the rectangle and triangle are equal to 43 units.

How to calculate the perimeter of a rectangle?

Mathematically, the perimeter of a rectangle can be calculated by using this equation;

P = 2(L + W)

Where:

P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.

An equation for the perimeter of this rectangle is given by:

P = 2[(5x - 2) + (3x - 0.5)]

P = 2(8x - 2.5)

P = 16x - 5.

Mathematically, the perimeter of a triangle can be calculated by using this equation:

P = a + b + c

Where:

P is the perimeter of a triangle.a, b, and c are the side length of a triangle.

P = (2x + 3) + (2x + 3) + (10x - 5)

P = 14x + 1

Since the perimeter of both geometric figures are the same, we can calculate the value of x as follows:

16x - 5 = 14x + 1

2x = 6

x = 3

For the perimeter of this rectangle, we have:

P = 16x - 5.

P = 16(3) - 5.

P = 43 units.

For the perimeter of this triangle, we have:

P = 14x + 1.

P = 14(3) + 1.

P = 43 units.

Read more on perimeter of a rectangle here: https://brainly.com/question/17360327

#SPJ1

Given the following piecewise function,

Answers

The value of f(0) is f(0) = 3 and the value of f(-4) is f(-4) = 1

Determining the value of a function

From the question, we are to determine the value of the given functions

The functions are

f(0) and f(-4)

First, we will determine the value of f(0)

Since 0 ≥ -2, we will use the function

f(x) = x² + 2x + 3

Thus,

f(0) = (0)² + 2(0) + 3

f(0) = 0 + 0 + 3

f(0) = 3

Now, we will determine the value of f(-4)

Since -4 < -2, we will use the function

f(x) = x + 5

Thus,

f(-4) = -4 + 5

f(-4) = 1

Hence, f(0) = 3 and f(-4) = 1

Learn more on Determining the value of a function here: https://brainly.com/question/14379796

#SPJ1

Mark and some friends went to the movies. They bought tickets to the movies for $9 each and spent $22 at the concession stands. If they spent a total of $67, how many friends went to the movies with Mark?​

Answers

Answer:

5 people total including Mark. So, 4 friends.

Step-by-step explanation:

$67 total - $22 concession stands

$45 spent on tickets

45/$9per ticket

5 tickets were purch

please help precalculus. Given the following piecewise function:

Answers

The values of the functions defined in the piecewise function are f(0) = 5 and f(-4) = 11

How to evaluate the piecewise function?

From the question, we have the following piecewise function that can be used in our computation:

f(x) = | x + 5                 x < -2

         x² + 2x + 3        x ≥ -2

Evaluating the function f(0)

In this function, we have the x value to be

x = 0

This x value is at the domain x < -2

So, we make use of

f(x) = x + 5

Substitute 0 for x in f(x) = x + 5

f(0) = 0 + 5

Evaluate

f(0) = 5

Evaluating the function f(-4)

In this function, we have the x value to be

x = -4

This x value is at the domain x ≥ -2

So, we make use of

f(x) = x² + 2x + 3

Substitute -4 for x in f(x) = x² + 2x + 3

f(-4) = (-4)² + 2(-4) + 3

Evaluate

f(-4) = 11

Hence, the value of f(-4) is 11

Read more about piecewise function at

https://brainly.com/question/3628123

#SPJ1

write the reciprocal of 3
This is a random question

Answers

The required reciprocal of 3 would be 1/3.

What is the reciprocal?

The reciprocal of a number multiplied by a number is 1.

The coefficient of the inverse of the function f(x)=nx is the reciprocal of a number n. A function's inverse is the function with its points flipped.

The reciprocal of a number is the same as its multiplicative inverse.

(The multiplying opposite) It is the number 'turned upside down.

The product of a number and its reciprocal is always 1

So in this case, we can write 3 as: 3/1

The reciprocal is 1/3.

Therefore, the required reciprocal of 3 would be 1/3.

To learn more about the reciprocal click here:

https://brainly.com/question/15590281

#SPJ1

1/3 Answer:

this is a random answer

Step-by-step explanation:

given the length of a human's femur, x, and the length of a human's humerus, y, would you expect a positive correlation, a negative correlation, or no correlation?

Answers

The length of a human's femur, x, and the length of a human's humerus, Y would ,positive correlation.

A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.

A scale from + 1 to -1 is used to calculate the correlation coefficient. Either + 1 or -1 represents a variable's complete connection with another. The correlation is positive when one variable rises as the other rises; it is negative when one variable falls as the other rises.

To learn more about correlation. visit:

https://brainly.com/question/25838375

#SPJ4

how many square feet of cement would be needed for a 7-foot wide continual sidewalk around the outside edge of a 60 foot by 90 foot corner lot?

Answers

Using mathematical operations, we know that 1,099ft² of cement would be needed.

What are mathematical operations?

A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.

There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are collectively referred to as PEMDAS.

So, square feet of cement needed:

A: 60' x 7' = 420SF.

90' x 7' = 630SF on side B.

Keep in mind that the corner is 49 SF (7'x7') in size.

The three components are added together as follows:

1,099 square feet = 420SF + 630SF + 49SF.

Therefore, using mathematical operations, we know that 1,099ft² of cement would be needed.

Know more about mathematical operations here:

https://brainly.com/question/28937023

#SPJ4

Solve the inequality, show all of your work:

-4x + 5 > 37

Answers

Answer:

x < -8

Step-by-step explanation:

1. Subtract 5 from both sides

-4x + 5 > 37

-4x + 5 - 5 > 37 - 5

2. Simplify

Subtract the numbers:

-4x + 5 - 5 > 37 - 5

-4x > 37 - 5

Subtract the numbers:

-4x > 37 - 5

-4x > 32

3. Divide both sides by the same factor, and flip the relation because the factor is negative

-4x > 32

[tex]\frac{-4x}{-4}[/tex] < [tex]\frac{32}{-4}[/tex]

4. Simplify

Cancel terms that are in both the numerator and denominator:

[tex]\frac{-4x}{-4}[/tex] < [tex]\frac{32}{-4}[/tex]

x < [tex]\frac{32}{-4}[/tex]

Divide the numbers:

x < [tex]\frac{32}{-4}[/tex]

x < -8

Solution:

x < -8

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 6 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

x < - 8

Step-by-step explanation:

-4x + 5 > 37

-4x > 37 - 5

-4x > 32  ( now I have to divide by -4 )

-4x > 32 / -4

x < - 8

x has to be smaller than -8 for example ( -9 or - 10 )

demonstration: -4 * (-9) + 5 > 37

36 + 5 > 37

41 > 37

uuuhhhmmmm i need help with 2 work sheets called dizzy over decimals multiplying decimals and dizzy over decimals dividing decimals so can someone find those and give me written answers worked out

Answers

send pictures of the problems you need help on!

Geometry.....Solve for each variable. Show your work and explain in paragraph form how you solved each problem.
Base Angles Theorem
Converse to Base Angles Theorem
Corollary
Converse to the corollary
Sum of Interior Angles
Exterior angles

Answers

The value of x is 35 and the value of y is 82.

What is an isosceles riangle?

In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

Given that the three angles of the triangle are 40, 2x and y-12. The value of x and y will be calculated as,

2x = y-12

2x + y-12 + 40 = 180

2x + y =180-40+12

2x + y = 152

2x - y = -12

___________

4x = 140

x = 35

y = 2x + 12

y = 2 x 35 + 12

y = 82

Therefore, the value of x is 35 and the value of y is 82.

To know more about an isosceles triangle follow

https://brainly.com/question/13664166

#SPJ1

the speed of a car, measured in miles per hour, was determined 10 times at random. the results are 22, 43, 35, 32, 41, 28, 29, 30, 37, and 43 miles per hour. construct a 95% confidence interval for the mean speed of this vehicle.

Answers

Answer:

28.9641 ≤ x-bar(t) ≤ 39.0359.

Step-by-step explanation:

1. Determine the size of the sample (n).

Knowing that we have 10 different values of speed, the size of the sample is 10; n=10. Therefore, this sample is considered statistically small because n < 30.

2. Calculate the arithmetic mean of the sample.

Arithmetic mean= (Sum of all values) / (Amount of values)

x-bar= (340) / (10)

x-bar= 34.0000.

x-bar= arithmetic mean.

3. Calculate the standard deviation using the formula for samples.

We're going to use the Microsoft Excel tool for the standard deviation for samples (check attached image 1).

Standard deviation for samples (s)= 7.0396.

4. Calculate σ(x-bar).

Check attached image 2.

σ(x-bar)= 2.2261.

5. Calculate α/2.

α is the error that the confidence interval will have. Given a 95% confidence level, we know that the error is 5%; Error= 1 - Confidence.

α/2= 5%/2= 0.05/2= 0.025.

6. Find the absolute t-student value for α/2.

You can either use the probability tables or the Microsoft Excel tools to find the inverse of a t-student distribution for this α/2 value (check attached image 3).

In this case we use the t-student distribution instead of the normal distribution because the sample size is small and the standard deviation of the population is unknown.

T-student value= -2.2622

Absolute t value= 2.2622.

7. Calculate the intervals.

Check attached image 4 to see the formulas.

Lower limit = (34) - (2.2622*2.2261) = 28.9641

Upper limit = (34) + (2.2622*2.2261) = 39.0359

28.9641 ≤ x-bar(t) ≤ 39.0359

8. Conclude.

This result means that the value of speed could be any value between 28.9641 and 39.0359, including, with a 95% confidence level. There's a 5% chance that a newly measured value of speed is outside this interval.

A park ranger claims that the average number of acres in his State Park is less than 2000 acres.
A random sample of five parks is selected and the number of acres is shown below:
959, 1187, 493, 6249, 541
Assume the variable must be normally distributed, at [tex]\alpha =0.01[/tex] is there enough evidence to support the claim? To draw your conclusion, state the hypotheses and identify the claim, find the critical value(s), label the acceptance and rejection region, calculate the test value and summarize the results.

Answers

Answer:

ypotheses:

H0: μ = 2000

H1: μ < 2000

Claim: The average number of acres in the State Park is less than 2000.

Critical Value (s): -1.645 (z-score)

Acceptance Region: z < -1.645

Rejection Region: z ≥ -1.645

Test Value: z = -3.537

Conclusion: Since -3.537 is less than -1.645, we reject the null hypothesis and accept the alternate view. There is enough evidence to support the claim that the average number of acres in the State Park is less than 2000.

Step-by-step explanation:

In the diagram below, mZCIH = 100° and mZBGD = 42°. Find m/FHG.
Step
1
2
try
Angle
m/CIH 100°
m/BGD = 42°
mz
B.
42% G
Select a Reason
Reason
Given
Given
F
H
E
100°
A
C

Answers

A triangle is a plane figure that consists of three sides and three internal angles. Thus m&lt;FHG is [tex]122^{o}[/tex].

How to illustrate the triangle

A triangle is a family of polygon which is bounded by three straight sides, thus forming three internal angles. The sum of the internal angles of a trigon is [tex]180^{o}[/tex]. While exterior angles are angles which are outside the edges of a triangle.

From the given question;&lt;IGH = &lt;BGD = 42°   (vertically opposite angles)&lt;HIG = 180 - &lt;CIH         = 180 - 100&lt;GIH = [tex]80^{o}[/tex]

Thus, we can conclude that;&lt;IGH + &lt;GIH + &lt;GHI =   [tex]180^{o}[/tex]42 + 80 + &lt;GHI =  [tex]180^{o}[/tex]&lt;GHI =  [tex]180^{o}[/tex] - 122         = 58&lt;GHI = [tex]58^{o}[/tex]So that;m&lt;FHG

=  [tex]180^{o}[/tex] - M&lt;GHI             =  [tex]180^{o}[/tex] - 58            

= [tex]122^{o}[/tex]m&lt;FHG

= [tex]122^{o}[/tex]

Learn more about the exterior angle of a triangle at https://brainly.com/question/21481521

#SPJ1

What is the minimum number of different résumé formats that an individual should have prepared? a. 1 b. 2 c. 3 d. 4 please select the best answer from the choices provided a b c d

Answers

(B) 2 separate resume formats should be the absolute minimum number that someone should have created.

What is a résumé?

A résumé, also known as a curriculum vitae (CV), is a written statement that a person uses to describe their educational history, professional experience, and accomplishments.

Although there are many uses for resumes, they are most frequently employed to find new jobs.

A standard résumé includes a "summary" of relevant educational background and work history.

So, a condensed format should be used for the first.

One page should be plenty for a good resume.

However, a two-page format might be employed when things are crammed onto one page.

For extra information about yourself, utilize a two-page format.

Typically, we submit the streamlined version before our interview.

In order to give the interviewer access to extra material, we might demonstrate our extended format during the interview.

Therefore, (B) 2 separate resume formats should be the absolute minimum number that someone should have created.

Know more about a résumé here:

https://brainly.com/question/14218463

#SPJ4

Correct question:
What is the minimum number of different résumé formats that an individual should have prepared?

a. 1

b. 2

c. 3

d. 4

Solve for each variable. Show your work and explain in paragraph form how you solved each problem.
Base Angles Theorem
Converse to Base Angles Theorem
Corollary
Converse to the corollary
Sum of Interior Angles
Exterior angles

Answers

Answer:

can u see when i do this????

Step-by-step explanation:

When contructing​ 95% confidence interval for the mean when the parent population i right kewed and the ample ize i​ mall, the proportion of interval that include the population mean approache

Answers

So when parent population is right-skewed and the sample size is small, the percentage of intervals that include population mean is (above, below, equal to) 0.95 when building 95% confidence intervals for said mean.

Explain the term confidence interval?

A confidence level of both the CI refers to the likelihood that its confidence interval contains the actual population mean value.

Any confidence level can be used to determine a CI, although 95% is the most typical value.A 95% confidence interval, strictly speaking, means that if we generate a 95% confidence interval each of 100 independent samples, then about 95 of a 100 confidence intervals include the true mean value (μ).

Thus, when parent population is right-skewed and the sample size is small, the percentage of intervals that include population mean is (above, below, equal to) 0.95 when building 95% confidence intervals for said mean.

To know more about the confidence interval, here

https://brainly.com/question/14825274

#SPJ4

How do you decide which variable to isolate in order to
use the substitution method to solve a system of linear
equations?
Intro

Answers

Answer:

Step-by-step explanation:

it depends on the vaiable you choose to cancel out first. For example, if I had two equations:

-12x+9y=7

9x-12y=6

if you wanted first eliminate the x values, then you distribute a certain number to either equation that will cause the x values to cancel (one being negative, and the other being positive)

a car is driving at 100 kilometers per hour. how far, in meters, does it travel in 2 seconds? meters

Answers

A car travels 500/3 meters in 2 seconds.

What is speed?

The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Given that it just has a direction and no magnitude, speed is a scalar number.

Here, we have

Speed of car  = 100 KM/ hour

1 km= 1000m

1 hour = 3600 seconds

Let's find the speed of the car in Meters/second

Speed of car in m/sec = 100*1000 m/3600 second

Here we have taken 1000 for km and 3600 for an hour

Speed of car in m/sec = 100*1000 m/3600 second = 500/18 m/second

Speed of car in m/sec = 250/9  m per sec

We know that

Distance = speed*time

Speed = 250/9  m per sec

Time = 2 second

Distance = 250/9 * 2 meters = 500/3 meters

Hence, a car travels 500/3 meters in 2 seconds.

To learn more about the speed from the given link

https://brainly.com/question/24739297

#SPJ4

.2 times .2 times .2

Answers

Your answer is 8.

[tex]2x2x2=8[/tex]

-4-5(x+8) please hurry!! WITH EXPLINATION!

Answers

Answer:

- 5x - 44

Step-by-step explanation:

-4 - 5(x + 8)

Distribute the -5 to the terms in parenthesis:

-4 - 5x - 40

combine numbers:

- 5x - 44

First Ave.
70°
300 ft
Main St.
Canal St.
Part A:
What is the distance, in feet, on Main Street between First Avenue and Canal Street? Round your answer to the nearest hundredth.

Answers

The distance, in feet, on Main Street between First Avenue and Canal Street, using relations in a right triangle, is of:

319.25 ft.

How to obtain the distance?

The situation is represented by a right triangle, hence the three trigonometric measures are defined as follows:

Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Sine of angle = length of opposite side divided by the length of the opposite side.

From the image given at the end of the answer, the parameters are given as follows:

Missing Information: Hypotenuse.The side length opposite to the angle of 70º is of 300 ft.

Hence the distance of the Main Street is found using the sine of the angle of 70º, as follows:

sin(70º) = 300/x

x = 300/sin(70º)

x = 319.25 ft.

Missing Information

The right triangle is given by the image shown at the end of the answer.

More can be learned about the relations in a right triangle at https://brainly.com/question/16437014

#SPJ1

2/9-2/15 in fraction form?

Answers

Answer:

4/45

Step-by-step explanation:

Other Questions
also known asa toxic heavy metal , the lead in some paints is an example ofhazardous waste. why? a nurse is caring for a client with anorexia nervosa. which interventions would be appropriate for this client? select all that apply. how this music genre, corrido, is an example of the ability of music to convey memories of particular places, people, and events what is the answer i need answers now it does not define a relation because both 2 and 4 are related to z in b it properly defines a relation it does not define a relation because 3 is unrelated to any element of b it does not define a relation because y is unrelated to any element of a When following the user-centered design approach, what should a designer do after completing initial user research to better understand the user?. if measurements are made on four different days, find the level ll such that there is probability only 0.03 that the mean glucose level of four test results falls above all for sheila's glucose level distribution. what is the value of ll? sue earns income of $80,000 per year. her average tax rate is 50 percent. sue paid $5,000 in taxes on the first $30,000 she earned. what was the marginal tax rate on the first $30,000 she earned, and what was the marginal tax rate on the remaining $50,000? for the year ended december 31, 2021, norstar industries reported net income of $970,000. at january 1, 2021, the company had 1,090,000 common shares outstanding. the following changes in the number of shares occurred during 2021: apr. 30 sold 90,000 shares in a public offering. may 24 declared and distributed a 5% stock dividend. june 1 issued 102,000 shares as part of the consideration for the purchase of assets from a subsidiary.Required: Compute Norstar's earnings per share for the year ended December 31, 2021. (Enter your answers in thousands. Do not round intermediate calculations. Round "EPS" answer to 2 decimal places.) Numerator Denominator = Earnings per Share = $ 0.64 In a short paragraph, describe how the United States is taking a multilateral approach to foreign policy in Syria.Be sure to provide details in your answer. IN YOUR OWN WORDS A setting that automatically updates related records when a primary record is updated is called ______________ updates. What are the characteristics of a density curve? Select all that apply.A. The area under the curve always sums to 100%.B. The area between any two points is always less than 0.25.C. The percentage of values between any two points on the x-axis isthe area of the figure formed by the curve and the x-axis.D. The curve always falls on or above the x-axis. which of the following gut structures are listed in the correct order that food would pass through them, from input to exit? a. pyloric sphincter, ileum, jejunum, transverse colon. b. pancreas, jejunum, ascending colon, sigmoid colon. c. ileum, duodenum, descending colon, ascending colon. d. duodenum, ileum, caecum, transverse colon. Consider the following example:Pacific fish are now migrating from the ocean to the river to spawn about two weeks earlier than they did forty years ago.Which of the following principles of natural selection most applies? Select the best answer.genetic drift all genotypes are equally fit CCOO neutral evolution variation heredity A compound is made up of various elements totaling 120 ounces. If the total amount of copper in thecompound weighs 6 ounces, what percent of the compound is made up of copper? environmental sustainability in supply chain management includes product and process issues that affect human safety and welfare, community development, and protection from harm. how many moles of magnesium oxide are produced by the reaction of 3.82 g of magnesium nitride with of water? mg3n2 3h2o 2nh3 3mgo question 22 options: 0.114 0.0756 0.429 4.57 0.0378 Julia has made 9 posts while trying out a new social media platform. Starting now, she plansto make 1 post daily.Write an equation that shows how the total number of posts, y, depends on the number ofelapsed days, x.ySubmit An icicle that is 12 mm long melts at a constant rate of 1.2 mm per minute. Let t represent the number of minutes since the icicle started melthing and suppose R is a function such that R(t) represents the remaining length of the icicle (in mm) t minutes after it started melting.A.Write a function formula for R in terms of t.b.What is the domain of R relative to this context? Enter your answer as an interval.c.What is the range of R relative to this context? Enter your answer as an interval.d.What is the domain of R1 relative to this context? Enter your answer as an interval.e.What is the range of R1 relative to this context? Enter your answer as an interval.f.Solve R(t)=6.6 for t.t= g.What does your solution in part (f) represent in this context? Select all that apply.How long it takes for the icicle to melt completely.How many minutes since the icicle started melting when it is 6.6 mm long.The length of the icicle (in mm) 6.6 minutes after it started melting. a coin is placed on a flat, horizontal turntable which makes 3 revolutions in 3.14s. a. what is the speed of the coin when it rides without slipping at a distance of 5.0cm from the center of the turntable?