Answers
Answer:
23.6°
Step-by-step explanation:
The angle of depression, x, is congruent to the bottom right angle of the triangle.
sin x = opp/hyp
sin x = 100/250 = 0.4
x = sin^-1 0.4
x = 23.6°
Related Questions
What is the coefficient in the expression
6-4x-8+2
Answers
Answer:
-4 is the coefficient or -4x whatever the answers are
Step-by-step explanation:
the coefficient in mathematics is basically whatever the number is infront of a variable in an expression, equation, etc.
My dance lesson starts at 11:40 am. It always 1 your and 10 minutes what time does it end?
Answers
Answer:
Step-by-step explanation:
This may be wrong but hear me out, 40+10 is 50 and 11+1 is 12, so 12:50?
An event with probability 3/4 is more likely to happen than an event with probability 4/5
True or False why?
Answers
The given statement "An event with probability 3/4 is more likely to happen than an event with probability 4/5" is true.
The reason why we say an event with a higher probability is more likely to happen is because probability is the measure of how often an event will occur during a large number of trials.
Therefore, when we compare the probabilities of two events, we can expect that the one with the higher probability will occur more often and therefore is more likely to happen.For instance, in the context of a coin flip, the probability of getting heads is 1/2 while the probability of getting tails is also 1/2.
Therefore, both events are equally likely to happen. On the other hand, if we were to compare the probability of rolling a six-sided die and getting a 1, which has a probability of 1/6, with the probability of rolling the die and getting a number less than or equal to 4, which has a probability of 4/6 or 2/3, we can say that the latter is more likely to happen since it has a higher probability.
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GEOMETRY 50POINTS
find y to the nearest degree
Answers
The value of y in the figure is
35.134 degrees
How to determine the value of yThe value of y is worked using SOH CAH TOA
Sin = opposite / hypotenuse - SOH
Cos = adjacent / hypotenuse - CAH
Tan = opposite / adjacent - TOA
The figure shows a right angle triangle of
opposite = 19
adjacent = 27
The angle is calculated using tan, TOA let the angle be y
tan y= Opposite / Adjacent
tan y = 19 / 27
y = arc tan (19/27)
y = 35.134 degrees
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Which linear function has the greatest y-intercept?
y = 6 x + 1
On a coordinate plane, a line goes through points (0, 2) and (5, 0).
On a coordinate plane, a line goes through points (1, 2) and (0, negative 3).
y = 3 x + 4
Answers
The linear function that has the greatest y-intercept is [tex]y = 3x + 4[/tex].
In a linear equation, the y-intercept is where the line crosses the y-axis.
It is represented by the constant term in the equation.
So, to determine which linear function has the greatest y-intercept, we need to look at the constant term of each equation.
Let's consider each equation: [tex]y = 6x + 1[/tex]
The constant term in this equation is 1.
So, the y-intercept is 1.
On a coordinate plane, a line goes through points (0, 2) and (5, 0).
To find the equation of this line, we can use the point-slope form:
[tex]y - y1 = m(x - x1)[/tex]
where m is the slope and (x1, y1) is a point on the line.
Using the points (0, 2) and (5, 0), we get:
[tex]m = \frac{(0 - 2)}{(5 - 0)} =-\frac{2}{5}[/tex]
So, the equation of the line is:
[tex]y - 2 = (\frac{-2}{5} )(x - 0)[/tex]
[tex]y = (\frac{-2}{5} )x + 2[/tex]
The constant term in this equation is 2.
So, the y-intercept is 2.
On a coordinate plane, a line goes through points (1, 2) and (0, -3).
To find the equation of this line, we can use the point-slope form:
[tex]y - y1 = m(x - x1)[/tex]
where m is the slope and (x1, y1) is a point on the line.
Using the points (1, 2) and (0, -3), we get:
[tex]m = \frac{ (-3 - 2) }{(0 - 1)} = -5[/tex]
So, the equation of the line is:
[tex]y - 2 = (-5)(x - 1)y = -5x + 7[/tex]
The constant term in this equation is 7.
So, the y-intercept is 7.
[tex]y = 3x + 4[/tex]
The constant term in this equation is 4.
So, the y-intercept is 4.
Therefore, we can see that the linear function that has the greatest y-intercept is [tex]y = 3x + 4[/tex].
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Find the measure of UK
95°
T
99 °
U
87 R
S
?
K
Answers
A cargo truck traveled 261 miles in 4 hours. About what speed was the truck averaging on this trip?
a.
65 mph
c.
55 mph
b.
1044 mph
Answers
Answer:
To find the average speed of the truck, we can divide the total distance travelled by the total time taken.
Average speed = Total distance / Total time
In this case, the truck travelled 261 miles in 4 hours.
Average speed = 261 miles / 4 hours
Average speed = 65.25 mph (rounded to two decimal places)
Therefore, the truck was averaging approximately 65 mph on this trip.
The correct option is (a) 65 mph.
Colin and Paul have played 38 tennis matches.
Colin has won 20 times.
Paul won the rest.
a) Estimate the probability that Colin wins.
b) Estimate the probability that Paul wins.
Answers
Answer:
P(Colin) = 20/38
P(Paul) = 18/38
Step-by-step explanation:
Colin won 20 times out of 38, so the probability that he wins would be 20/38 (or 10/19 simplified).
Paul won 18 times out of 38, so the probability that he wins would be 18/38 (or 9/19 simplified).
Answer:
a) Probability of Colin winning = 10/19
b) Probability of Paul winning = 9/19
Step-by-step explanation:
Total number of matches = 38
Colin won 20,
Paul won the rest so, 38 - 20 = 18
Paul won 18 matches,
From this data, we calculate the probabilities of Colin or Paul winning,
a) Estimate the probability that Colin wins.
Colin won 20 out of 38 matches, so his probability of winning is,
20/38 = 10/19
Probability of Colin winning = 10/19
b) Estimate the probability that Paul wins
Paul won 18 out of 38 matches, so his probability of winning is,
18/38 = 9/19
Probability of Paul winning = 9/19
An author is writing and illustrating a new book. The gale diagram represent the ratio of area. In cm2 with text to area with illustrations .based on the ratio there 500cm2 of illustrations
Answers
A population of a particular yeast cell develops with a constant relative growth rate of 0.4465 per hour. The initial population consists of 3.3 million cells. Find the population size (in millions of cells) after 4 hours. (Round your answer to one decimal place.)
Answers
Starting with an initial population of 3.3 million yeast cells and a constant relative growth rate of 0.4465 per hour, the population size reaches approximately 5.892 million cells after 4 hours.
To calculate the population size after 4 hours, we can use the formula for exponential growth:
Population size = Initial population * [tex](1 + growth rate)^t^i^m^e[/tex]
Given that the initial population is 3.3 million cells and the relative growth rate is 0.4465 per hour, we can plug in these values into the formula:
Population size = 3.3 million *[tex](1 + 0.4465)^4[/tex]
Calculating the exponent first:
[tex](1 + 0.4465)^4 = 1.4465^4[/tex] ≈ 1.7879
Now, we can substitute this value back into the formula:
Population size = 3.3 million * 1.7879
Calculating the population size:
Population size = 5.892 million
Therefore, the population size after 4 hours is approximately 5.892 million cells.
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An import company brought into the country some amplifiers that cost sh. 3,750-each. The government imposed an import duty of 125% and a sales tax of 20 %. If the company decided to make a 10% profit on the sales, calculate the selling price of each amplifier.
Answers
Answer:
To calculate the selling price of each amplifier, we need to consider the cost, import duty, sales tax, and the desired profit margin.
Cost of each amplifier: sh. 3,750
Import duty of 125% on the cost:
Import duty = 125% of sh. 3,750
= 125/100 * sh. 3,750
= sh. (125/100 * 3,750)
= sh. 4,687.50
Cost of each amplifier including import duty:
Total cost = Cost + Import duty
= sh. 3,750 + sh. 4,687.50
= sh. 8,437.50
Sales tax of 20% on the total cost:
Sales tax = 20% of Total cost= 20/100 * sh. 8,437.50
= sh. (20/100 * 8,437.50)
= sh. 1,687.50
Total cost including sales tax:
Total cost = Total cost + Sales tax
= sh. 8,437.50 + sh. 1,687.50
= sh. 10,125
Desired profit margin of 10% on the total cost:
Profit = 10% of Total cost
= 10/100 * sh. 10,125
= sh. (10/100 * 10,125)
= sh. 1,012.50
Selling price of each amplifier:
Selling price = Total cost + Profit
= sh. 10,125 + sh. 1,012.50
= sh. 11,137.50
What is the volume of this
figure?
A 774 cm³
B 3,546 cm³
C 843 cm3
D 2,250 cm³
Answers
Hello!
V
= (18cm * 15cm * 6cm) + ((13cm - 6cm) * 15cm * 6cm)
= 1,620cm³ + 630cm³
= 2,250cm³
GEOMETRY 100 POINTS
TY
Answers
Answer:
A.
Step-by-step explanation:
In this case, we have to use tan ([tex]\frac{opposite}{adjacent}[/tex] because we are asked for the opposite side (x) given the adjacent side (20 m).
So tan(75)=[tex]\frac{x}{20}[/tex]
Solve for x
x = 20 * tan(75)
x = 74.641...
x = 74.64 m
Answer:
The height is 74.64 meters
Step-by-step explanation:
We have a ΔABC with ∠B = 75°, hypotenuse = AB
[tex]cos\; 75\textdegree = \frac{\sqrt{3} -1}{2\sqrt{2} }\\\\\frac{1}{cos\; 75\textdegree} = \frac{2\sqrt{2} }{\sqrt{3} -1}[/tex]
cos B = adjacent/hyppotenuse
⇒ hypotenuse (AB) = adjacent/cosB = 20/cosB
[tex]= 20 \frac{2\sqrt{2} }{\sqrt{3} -1}\\\\= \frac{40\sqrt{2} }{\sqrt{3} -1}\\\\= 77.27[/tex]
⇒ AB = 77.27
By pythagoras theorem,
AB² = AC² + BC²
⇒ AC² = AB² - BC²
= 77.27² - 20²
AC² = 5570.65
⇒ AC = √5570.65
AC = 74.64
ITV' is tangent to circle O at point H, and HIM
is a secant line. If mHM = 108°, find m/MHU.
Answers
Answer:
∠ MHU = 54°
Step-by-step explanation:
the angle MHU between the tangent and the secant is half the measure of the intercepted arc HM , then
∠ MHU = [tex]\frac{1}{2}[/tex] × 108° = 54°
need help with tshdjkdkdndndndndkd
Answers
The length of this line segment is: B. 2√13 units.
How to determine the distance between the coordinates for each points?In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where:
x and y represent the data points (coordinates) on a cartesian coordinate.
By substituting the given end points into the distance formula, we have the following;
Distance = √[(4 + 2)² + (1 + 3)²]
Distance = √[(6)² + (4)²]
Distance = √[36 + 16]
Distance = √52
Distance = 2√13 units.
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Question 1 (11 point) What are the x-intercepts of the function y=(x-5Xx+3)? ( Blank 1- .0) ( 0)
Answers
The x-intercepts of the function y = (x-5)(x+3) are 5 and -3.
To find the x-intercepts of the function y = (x-5)(x+3), we need to set y equal to zero and solve for x.
The x-intercepts are the values of x where the graph of the function intersects or crosses the x-axis.
Set y = 0:
0 = (x-5)(x+3)
Apply the zero-product property:
The product of two factors is equal to zero if and only if at least one of the factors is equal to zero.
Therefore, we can set each factor equal to zero and solve for x.
Setting x-5 = 0:
x - 5 = 0
x = 5
Setting x+3 = 0:
x + 3 = 0
x = -3.
The x-intercepts of the function y = (x-5)(x+3) are x = 5 and x = -3.
These are the values of x where the graph of the function crosses the x-axis.
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The manager of an ice cream shop found that the probability of a new customer ordering vanilla ice cream is 3/22. What are the odds against a new customer ordering vanilla ice cream?
Answers
Answer:
Step-by-step explanation:
[tex]P(\text{not vanilla})=1-\frac{3}{22}=\frac{19}{22}[/tex]
Odds are 19 to 3.
Ms. Florinda is a kindergarten teacher. She buys 100 pencils and wants to give 2 pencils to each of her students. She has 2 classes, a class with 22 students and a class with 19 students.
Part A
Write an expression for how many pencils she has left after giving them out to her students.
A.
100
−
2
×
(
22
−
19
)
B.
100
−
2
×
22
−
19
C.
100
−
2
×
22
−
2
×
19
D.
100
−
22
−
19
Part B
Does she have enough pencils to give each of her students 2?
Yes or no
, she has
15,18,37,59
More or fewer
than she needs.
Answers
Answer:
Part A:
The correct expression for how many pencils Ms. Florinda has left after giving them out to her students is:
A. 100 - 2 × (22 - 19)
Part B:
To determine whether Ms. Florinda has enough pencils to give each of her students 2, we can calculate the total number of pencils needed. The total number of students is the sum of the students in both classes, which is 22 + 19 = 41.
If each student needs 2 pencils, then the total number of pencils needed is 2 × 41 = 82.
Comparing this with the initial number of pencils Ms. Florinda bought (100), we can see that she has more than enough pencils to give each of her students 2.
Yes, she has enough pencils to give each of her students 2.
She has 18 more than she needs.
Here are ten numbers:
3 7 2 4 7 5 7 18 8
a) Write down the mode.
b) Work out the median.
c) Calculate the mean.
d) What is the range?
Answers
Step-by-step explanation:
a) The mode is 7, because it appears three times, which is more than any other number in the list.
b) To find the median, we need to arrange the numbers in order from smallest to largest:
2 3 4 5 7 7 7 8 18
The median is the middle number, which in this case is 7, since there are an equal number of values on either side of it.
c) To calculate the mean, we add up all the numbers and then divide by the total number of values:
(3 + 7 + 2 + 4 + 7 + 5 + 7 + 18 + 8) / 9 = 61 / 9 ≈ 6.78
So the mean is approximately 6.78.
d) The range is the difference between the largest and smallest numbers in the list:
18 - 2 = 16
So the range is 16.
Answer:
The numbers are 9 in total
Step-by-step explanation:
a) Mode 7
7 is the most occuring number.
b) Rearrange the numbers to find median
2, 3, 4, 5, 7, 7, 7, 8, 18
median=7
middle number is the median
c) Mean=2+3+4+5+7+7+7+8+18/9
mean=6.7
d) Range= Highest number - lowest number
18-2=16
I hope this helps a lot!
The better definition of Intersection is:
OA system that has at least one solution.
O Where lines cross over each other. The lines have a common point.
OA value we can put in place of a variable (such as x) that makes the equation true.
OA system that has no solutions.
Answers
Answer:
Where lines cross over each other. The lines have a common point.
HELPPPPPP ME PLEASEEEEE!!
Answers
Answer:
Step-by-step explanation:
The quadratic formula is y=ax^2+bx+c
If we move everything to the left side of the equation,
-6x^2=-9x+7 becomes
-6x^2+9x-7=0
a=-6, b=9, c=-7, so the third answer choice
The measure of < HIK is 68.30. If < HIK and < RST are complementary angles, what is the measure, in degrees, of < RST?
Answers
Answer:
the measure of < RST is 21.70 degrees.
Step-by-step explanation:
If < HIK and < RST are complementary angles, it means that the sum of their measures is 90 degrees.
Let's denote the measure of < RST as x.
Given that the measure of < HIK is 68.30 degrees, we can set up the following equation:
68.30 + x = 90
To solve for x, we subtract 68.30 from both sides:
x = 90 - 68.30
Calculating the value:
x = 21.70
1. The annual sale volumes of three products X, Y, Z whose sale prices per unit are GHS 3.50, GHS 2.75, GHS 1.50 respectively, in two different markets I and II are shown below: Product Market X Y Z I 6000 9000 1300 II 12000 6000 17000 Find the total revenue in each market with the help of matrices.
Answers
Answer:
Step-by-step explanation:
To find the total revenue in each market, we can calculate the product of the sale volumes and sale prices per unit using matrices.
Let's represent the sale volumes as a matrix V and the sale prices per unit as a matrix P:
V = [6000 9000 1300]
[12000 6000 17000]
P = [3.50]
[2.75]
[1.50]
To calculate the total revenue in each market, we need to perform matrix multiplication between V and P, considering the appropriate dimensions. The resulting matrix will give us the total revenue for each product in each market.
Total revenue = V * P
Calculating the matrix multiplication:
[6000 9000 1300] [3.50] = [Total revenue for product X in Market I Total revenue for product Y in Market I Total revenue for product Z in Market I]
[12000 6000 17000] [2.75] [Total revenue for product X in Market II Total revenue for product Y in Market II Total revenue for product Z in Market II]
Performing the calculation:
[60003.50 + 90002.75 + 13001.50] = [Total revenue for product X in Market I Total revenue for product Y in Market I Total revenue for product Z in Market I]
[120003.50 + 60002.75 + 170001.50] [Total revenue for product X in Market II Total revenue for product Y in Market II Total revenue for product Z in Market II]
Simplifying the calculation:
[21000 + 24750 + 1950] = [Total revenue for product X in Market I Total revenue for product Y in Market I Total revenue for product Z in Market I]
[42000 + 16500 + 25500] [Total revenue for product X in Market II Total revenue for product Y in Market II Total revenue for product Z in Market II]
[47650] = [Total revenue for product X in Market I Total revenue for product Y in Market I Total revenue for product Z in Market I]
[84000] [Total revenue for product X in Market II Total revenue for product Y in Market II Total revenue for product Z in Market II]
Therefore, the total revenue in Market I is GHS 47,650 and the total revenue in Market II is GHS 84,000.
Mia makes $15.50 per hour. For the Memorial holiday she worked 6 hours and 30 minutes on Friday. On Saturday, she worked for 1 hour and 10 minutes less than she did on Friday and on Monday she worked 4 hours and 10 minutes. How much money did Mia make for the Memorial holiday?
Answers
Answer:
$248.00
Step-by-step explanation:
Hours worked on Friday: 6 hr and 30 min = 6.5 hr
Money earned on Friday: $15.5/hr x 6.5 hr = $100.75
Hours worked on Saturday: 6.5 hr - 1.167 hr = 5.33 *10 min = 10/60 = 0.1667 hr
Money earned on Saturday: $15.50 x 5.33 hr = $82.67
Hours worked on Monday: 4.167 hr
Money earned on Monday: $15.50/hr x 4.167 hr = $64.58
Total money made: 100.75 + 82.67 + 64.58 = $248.00
The lines shown below are parallel. if the green line has a slope of 3 what is the slope of the red line?
Answers
Answer:
3
Step-by-step explanation:
parallel lines have the same gradient
Assume that at the current exchange rate, the British pound is worth $1.65 in American dollars. You have some dollar bills and several British pound coins. There are 17 items altogether, which have a total value of $20.25 in American dollars. How many American dollars and how many British pound coins do you have?
Answers
Answer:
So we have $11.64 in American dollars and £5 in British pound coin
Step-by-step explanation:
To solve this problem, we can use a system of equations. Let x be the number of American dollars and y be the number of British pound coins. Then we have:
x + y/1.65 = 20.25 (since each British pound coin is worth 1.65 American dollars)
x = 17 - y (since there are 17 items altogether)
Substituting the second equation into the first, we get:
(17 - y) + y/1.65 = 20.25
Multiplying both sides by 1.65, we get:
28.05 - y + y = 33.4125
y = 33.4125 - 28.05
y = 5.3625
Therefore, we have 5 British pound coins and:
x = 17 - y = 17 - 5.3625 = 11.6375
expresa en litros 4m³
Answers
4 cubic meters is equal to 4000 liters. 4 m³ becomes 4000 liters.
To express 4 m³ in liters, we first need to understand the conversions between cubic meters (m³) and liters (L).
1 cubic meter (1 m³) is equal to 1000 liters (1000 L). This is because 1 meter is equal to 100 centimeters, and when cubed, we get 100 cm x 100 cm x 100 cm = 1,000,000 cm³. And since 1 liter is equal to 1,000 cubic centimeters (1 L = 1000 cm³), then 1 m³ is equal to 1,000,000 cm³ / 1000 cm³ = 1000 liters.
Now, we can use this information to convert 4 m³ to liters:
4 m³ * 1000 L/m³ = 4000 liters
Therefore, 4 cubic meters is equal to 4000 liters.
In short, to convert cubic meters to liters, we multiply the value in cubic meters by 1000 to get the equivalent in liters. In this case, 4 m³ becomes 4000 liters. It is important to remember that this conversion is valid for substances that have a density similar to water, since the relationship between cubic meters and liters can vary for different substances.
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The area of a triangular road sign is 70 square ft. If the base of the sign measures 14 ft, what is the height of the sign?
Answers
Answer:
height = 10 ft
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
given A = 70 and b = 14 , then
[tex]\frac{1}{2}[/tex] × 14 × h = 70
7h = 70 ( divide both sides by 7 )
h = 10 ft
Instructions: Complete the following proof by dragging and dropping the correct reason into the space provided.
Given: ∠NYR and ∠RYA form a linear pair, ∠AXY and ∠AXZ form a linear pair, ∠RYA≅∠AXY
If you are using a screen-reader, please consult your instructor for assistance.
Prove: ∠NYR≅∠AXY
Step Reason
∠NYR and ∠RYA form a linear pair
∠AXY and ∠AXZ form a linear pair Given
∠NYR and ∠RYA are supplementary
m∠NYR+m∠RYA=180
∠AXY and ∠AXZ are supplementary If two angles form a linear pair, then they are supplementary angles
Definition of Supplementary Angles
m∠NYR+m∠RYA=m∠AXY+m∠AXZ Substitution Property of Equality
∠RYA≅∠AXY
m∠NYR+m∠RYA=m∠AXY+m∠RYA Substitution Property of Equality
m∠NYR=m∠AXY
≅
Answers
Answer:
Step Reason
∠NYR and ∠RYA form a linear pair
∠AXY and ∠AXZ form a linear pair Given
∠RYA≅∠AXY Given
∠NYR and ∠RYA are supplementary Definition of Linear Pair
If two angles form a linear pair, then they are supplementary angles Definition of Linear Pair
∠NYR and ∠AXY are supplementary Transitive Property of Equality
m∠NYR+m∠RYA=180
m∠AXY+m∠AXZ=180 Definition of Supplementary Angles
m∠NYR+m∠RYA=m∠AXY+m∠AXZ Substitution Property of Equality
m∠NYR+m∠RYA=m∠NYR+m∠AXZ Substitution Property of Equality
m∠RYA=m∠AXZ Subtraction Property of Equality
∠NYR and ∠AXY are supplementary Definition of Supplementary Angles
m∠NYR+m∠AXY=180
m∠NYR+m∠RYA=m∠NYR+m∠AXY Substitution Property of Equality
m∠RYA=m∠AXY Subtraction Property of Equality
∠NYR≅∠AXY Definition of Congruent Angles.
Which of the figure has reflectional symmetry
A. Figure C
B. Figure B
C.Figure D
D.Figure A
Answers
The figure that shows a reflectional symmetry would be figure C. That is option A.
What is reflectional symmetry of shapes?The reflectional symmetry of shapes is defined as the type of symmetry where one-half of the object reflects the other half of the object.
This is also called a mirror symmetry. This is because the image seen in one side of the mirror is exactly the same as the one seen on the other side of the mirror.
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