Answer:
The angle of elevation of the sun to the nearest hundredth of a degree is 44.07°
Step-by-step explanation:
Here is the complete question:
A building 86.53 feet tall has a shadow that is 89.39 feet long. Find the angle of elevation of the sun to the nearest hundredth of a degree.
Step-by-step explanation:
Please see the attachment below for an illustrative diagram:
From the diagram
/AC/ is the height of the building
/CB/ is the length of the shadow
/AC/ = 86.53 feet
/CB/ 89.39 feet
θ is the angle of elevation
Consider triangle ABC
/AC/ is the opposite
and /CB/ is the adjacent
From
tanθ =[tex]\frac{Opposite}{Adjacent}[/tex]
Then,
tanθ = [tex]\frac{/AC/}{/CB/}[/tex]
tanθ = [tex]\frac{86.53}{89.39}[/tex]
tanθ = 0.9680
∴θ = tan⁻¹(0.9680)
θ = 44.0686°
θ = 44.07° (to the nearest hundredth of a degree)
Hence, the angle of elevation of the sun to the nearest hundredth of a degree is 44.07°
How long must a ladder be to reach the top of a 12-foot wall if the both of the ladder is placed 3 feet from the base
of the wall?
What is the unknown information that could be found using the Pythagorean theorem?
What is the approximate length of the ladder needed, rounding to the nearest hundredth
Answer:the hypotenuse,or lenght of the ladder,
; 12.37 ft
Step-by-step explanation:
I just took the assignment
Answer:
Answer:Q: What is the unknown information that could be found using the Pythagorean theorem?
A: The hypotenuse, or the length of the ladder.
Q: what is the approximate length of the ladder needed, rounding to the nearest hundredth?
A: 12.37 ft.
Step-by-step explanation:
Unit price for each size and determine which is the better buy. 15 oz. party size Doritos $3.98 9.75 oz. Doritos $2.98
Answer:
15oz
15oz is 0.27 per oz while 9.75oz bag is 0.31
The concentration C (in mg/cc) of a drug in a patient's bloodstream is related to the time t (in hours) after injection in such a way that as t changes from 0 to 12, C changes from 0.7 to 0.1. Find the average rate of change of C with respect to t.
I have a calculus question similar to this one and I am unsure of how to begin working on this problem.
Answer: -0.05 mg/cc*h
Step-by-step explanation:
Here we have the relation:
ConcentrationVsTime.
If we want to find the average rate of change, we can find the slope of a line that passes through the extremes of each interval: (tmin, Cmin) and (tmax, Cmax)
The interval for the time is:
0h to 12h.
The interval for the concentration is:
0.7 mg/cc to 0.1mg/cc.
Then we can use the points:
(0h, 0.7mg/cc) and (12h, 0.1mg/cc)
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then in this case the slope (or rate of change) is:
a = (0.1mg/cc - 0.7mg/cc)/(12h - 0h) = (-0.6mm/cc)/12h = -0.05 mg/cc*h
What is the frequency of type A blood in this population? Enter your answer to two decimal places (example: 0.25 or 10.00).
The question is incomplete. Here is the complete question.
ABO blood type is examined in a Taiwanese population, nad the allele frequencies are determined. In the population, f(IA)=0.3, f(IB)=0.15 and f(i)=0.55.
Part A: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IAIA? Enter your answer to two decimal places.
Part B: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IBIB? Enter your answer to four decimal places.
Part C: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IAIB? Enter your answer to two decimal places.
Part D: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IAi? Enter your answer to two decimal places.
Part E: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IBi? Enter your answer to three decimal places.
Part F: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype ii? Enter your answer to four decimal places.
Part G: What is the frequency of type A blood in this population? Enter your answer to two decimal places.
Part H: What is the frequency of type B blood in this population? Enter your answer to four decimal places.
Part I: What is the frequency of type AB blood in this population? Enter your answer to two decimal places.
Part J: What is the frequency of type O blood in this population? Enter your answer to four decimal places.
Answer: Part A: f(IAIA) = 0.09
Part B: f(IBIB) = 0.0225
Part C: f(IAIB) = 0.05
Part D: f(IAi) = 0.16
Part E: f(IBi) = 0.082
Part F: f(ii) = 0.3025
Part G: f(type A) = 0.25
Part H: f(type B) = 0.1050
Part I: f(type AB) = 0.05
Part J: f(type O) = 0.3025
Step-by-step explanation: A population in Hardy-Weinberg equilibrium is a population with a constant value in the population's allele frequency.
In the population of Taiwan, frequencies are:
A: Frequency for genotype IAIA: Frequency of allele A is 0.3, then for genotype IAIA:
f(IAIA) = 0.3²
f(IAIA) = 0.09
B: Frequency of allele B is 0.15. Then, for genotype IBIB:
f(IBIB) = 0.15²
f(IBIB) = 0.0225
C: Frequency for genotype IAIB:
f(IAIB) = 0.3*0.15
f(IAIB) = 0.05
D: Frequency for genotype IAi:
f(IAi) = 0.3*0.55
f(IAi) = 0.16
E: frequency for genotype IBi:
f(IBi) = 0.15*0.55
f(IBi) = 0.082
F: frequency for allele i is 0.55. Then, for genotype ii:
f(ii) = 0.55²
f(ii) = 0.3025
Individuals with type A blood can be IAIA or IAi. Using probability's "OR" rule:
f(type A) = 0.09 + 0.165
f(type A) = 0.25
The same happens to individual with type B blood:
f(type B) = 0.0225 + 0.0825
f(type B) = 0.105
Since blood type is a codominance, i.e., allele A and allele B are expressed, frequency of type AB is equal to frequency of genotype AB:
f(type AB) = 0.3*0.15
f(type AB) = 0.05
Frequency for type O is:
f(type O) = 0.55²
f(type O) = 0.3025
Find the area of the triangle below. Be sure to include the correct unit in your answer.
Answer:
54 cm
Step-by-step explanation: 1/2b x h
1/2(18) x 6
9 x 6=54
What is the sum of the interior angles of the polygon shown below
Answer:
900
Step-by-step explanation:
The sum of the interior angles of a polygon with n sides is given by the formula:
[tex]S=(n-2)180[/tex]
The polygon given has 7 sides. Substitute 7 for n. Thus:
[tex]S=(7-2)180\\S=5(180)\\S=900[/tex]
The sum of the interior angles is 900 degrees.
1) For her birthday, your grandmother wants you to replace her old, tube TV with a new, widescreen TV. Her current TV measures 42" and she would like her new TV to measure the same size. What are the dimensions of the new TV if the aspect ratio is 16:97
Both values are approximate, rounded to 3 decimal places.
===================================================
Explanation:
I'm assuming you meant to say 16:9 instead of 16:97
The ratio 16:9 means that the horizontal width is 16x units and the height is 9x units. They form the ratio 16x:9x which reduces to 16:9
She wants the tv to be the same size as her old one, so the new tv will also have a diagonal of 42 inches (tv sizes are measured by the length of the diagonal).
Through the pythagorean theorem, we can say
a^2+b^2 = c^2
(16x)^2 + (9x)^2 = (42)^2
256x^2 + 81x^2 = 1764
337x^2 = 1764
x^2 = 1764/337
x^2 = 5.23442136498517 approximately
x = sqrt(5.23442136498517)
x = 2.28788578495194
x = 2.288
--------
This means the dimensions would be
width = 16x = 16*2.288 = 36.608 inches
height = 9x = 9*2.288 = 20.592 inches
both are approximate
1+1 = ? 45 POINT QUESTION
Answer:
2
Step-by-step explanation:
1 + 1 = 2
you can also use your left finger thumb and the right finger thumb
then add them together 1 + 1 makes 2
Question 1
The product of 7 and a number, increased by 3, is equal to the number, subtracted from 39. Find the number.
Answer:
[tex]n = 4.5[/tex]
Step-by-step explanation:
We can turn these words into a real equation. This gets us:
[tex]7n + 3 = 39 - n[/tex]
We want to isolate [tex]n[/tex] on one side of the equation.
Let's add [tex]n[/tex] to both sides:
[tex]7n + n + 3 = -39 - n +n\\\\8n + 3 = -39[/tex]
Subtract 3 from both sides:
[tex]8n+3-3 = 39-3\\\\8n = 36[/tex]
Divide both sides by 8:
[tex]8n \div 8 = 36 \div 8\\\\n=4.5[/tex]
Hope this helped!
Ill give you BRAINLIST !
North Carolina entered the Union x years after Pennsylvania. Which expression shows the year North Carolina entered the Union?
A. 1854 + x
B. 1845 - x
C. 1787 + x
D. 1787 - x t
Express the following English phrase using an algebraic expression. The quotient of some number y and 6 increased by the product of 2 and some number x.
Answer:
y/6 + 2x
Step-by-step explanation:
To write this expression, let's take it step by step.
The quotient of some number y and 6 implies that 6 divides y:
y/6
Increased by the product of 2 and some number x implies that the previous expression is summed with 2x:
y/6 + 2x
Hence, our final expression is as such:
y/6 + 2x
Cheers.
The solution is A = y/6 + 2x
The expression quotient of some number y and 6 increased by the product of 2 and some number x is given by the equation A = y/6 + 2x
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
Quotient of some number y and 6
Substituting the values in the equation , we get
Quotient of some number y and 6 = y/6
And ,
Product of 2 and some number x
Substituting the values in the equation , we get
Product of 2 and some number x = 2x
Now , the expression is
Quotient of some number y and 6 increased by Product of 2 and some number x
So , the equation will be
A = y/6 + 2x
Therefore , the value of A is y/6 + 2x
Hence , the value of the equation is A = y/6 + 2x
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Marco pays 200$ each month to rent a car where she earns 20$ an hour driving for uber. Which
equation represents Marco's profit, y, for working x number of hours.
Answer:
200 divided by 20 is 10
Step-by-step explanation:
Answer: 10
just divide 20 into 200 :)
200/20=10
What is the formula for this sequence 1, 4, 9, 16, 25, 36
Answer:
aₙ = n²
Step-by-step explanation:
Given sequence:
1, 4, 9, 16, 25, 36Or
1², 2², 3², 4², 5², 6²So the nth term is:
aₙ = n²The area of a parallelogram is 18 square units.one side of the parallelogram is 24 units long.The other side is 6 unit long. which could b the parallelograms height select all apply
Answer:
3/4 or 4
Step-by-step explanation:
We know that Area = base * height. If the base is 24, then the height could be 18 / 24 = 3 / 4. If the base is 6, then the height could be 24 / 6 = 4.
The possible heights of the parallelogram are [tex]\frac{3}{4} \ units \ \ \ and \ \ \ 3 \ units[/tex]
The given expression:
area of a parallelogram, A = 18 square unit
a side of the parallelogram, = 24 units
another side of the parallelogram, = 6 units
To find:
the height of the parallelogram, hThe area of a parallelogram is given as;
Area = base (b) x height (h)
[tex]height \ (h) = \frac{Area \ (A)}{base \ (b)}[/tex]
From the given sides, the possible heights of the parallelogram are calculated as follows;
if the base, b = 24 units[tex]the \ height = \frac{18}{24} = \frac{3}{4} \ unit[/tex]
Also, if the base, b = 6 units[tex]the \ height \ (h) = \frac{18}{6} = 3 \ units[/tex]
Therefore, the possible heights of the parallelogram are [tex]\frac{3}{4} \ units \ \ \ and \ \ \ 3 \ units[/tex]
Learn more here: https://brainly.com/question/24054192
Graph the line with y-intercept -5 and slope – 2.
Answer:
Step-by-step explanation:
Please please please help me with this problem it’s so hard and I’ll give you a brain list
Answer:
It is Positive,Negative,Positive after solving each of them
Identify the number as real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions may apply.) 3+i
Answer:
[tex]z = 3 + i[/tex] is complex as [tex]a,b\in \mathbb{R}[/tex], [tex]b \neq 0[/tex].
Step-by-step explanation:
A complex number comprehends all numbers of the form:
[tex]z = a+i\cdot b[/tex], [tex]\forall \,a,b\in \mathbb{R}[/tex]
Where [tex]i = \sqrt{-1}[/tex].
In other words, complex numbers are an extension of real numbers.
There is the following classification depending on what values of [tex]a[/tex] and [tex]b[/tex] exist:
Real - [tex]a \in \mathbb{R}[/tex], [tex]b = 0[/tex]
Complex - [tex]a,b\in \mathbb{R}[/tex], [tex]b \neq 0[/tex]
Pure imaginary - [tex]a = 0[/tex], [tex]b \neq 0[/tex] (The term "nonreal complex" is a synonym for pure imaginary complex)
Let be [tex]z = 3 + i[/tex], which is complex as [tex]a,b\in \mathbb{R}[/tex], [tex]b \neq 0[/tex].
The number contains both real and imaginary parts, hence it is classified as a complex number.
Complex numbersComplex numbers are square roots of negative numbers. They are represented using the letter "i".
Complex number is expressed as z = x + iy where:
x is the real party is the imaginary part.Given the value 3+i, since the number contains both real and imaginary parts, hence it is classified as a complex number.
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Sarina made a mistake when she wrote the word form of the number 519,742 below. Find the incorrect term in her work. Then type the replacement word below.
Five hundred ninety thousand, seven hundred forty-two
Answer:
The correct form of 519,742 in words
=Five hundred nineteen thousand, seven hundred forty-two
Step-by-step explanation:
The number = 519,742
What Sarina write as the word form
=Five hundred ninety thousand, seven hundred fforty-two
Translation of what sarina wrote in numbers= 590,742
So the mistake is that she wrote Five hundred ninety instead of five hundred and nineteen
The correct form of 519,742 in words
=Five hundred nineteen thousand, seven hundred fforty-two
Write the equation of the line that goes through (9/2,1) and (-7/2,7) then graph.
Sorry for the confusion, redoing my answer for you!
Using the points (9/2,1), (-7/2,7)
m=y2−y1 over x2−x1
Substitute in the values of x and y into the equation to find the slope.
m=7−(1) over −72−(92)
simplify
m=−3/4
Use the slope −3/4 and a given point (9/2,1) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1)
y−(1)=−3/4⋅(x−(9/2))
Rewrite in y=mx+b
solve for y
y=−3x/4+35/8
ill use desmos to graph (y=−3x/4+35/8)
Jill says that the literal equation 2v + 9v - 8 = 19m is solved for v. Do you agree? Why or why not?
Answer: I’m super confused too! Im stuck on the people too, I been trying to find some help.
Step-by-step explanation:
f(x)=3x^2-12x+9
g(x)= x-3
Answer:
Set the polynomial equal to y to find the properties of the parabola. y = 3 x 2 + 12 x − 9 Complete the square for 3 x 2 + 12 x − 9 . Tap for more steps... 3 ( x + 2 ) 2 − 21 Set y equal to the new right side. y = 3 ( x + 2 ) 2 − 21
Hoped I helped
Kate gets a paycheck twice a month. Every
month, a total of $345.67 is deducted from her
paycheck for taxes. If she has been paid 8
paychecks so far this year, how much money
has been deducted for taxes?
Answer:
1382.68
Step-by-step explanation:
not sure if im right
Answer:
–$2,419.69Step-by-step explanation:
I got it right on edgenuity
6) Alex and Kendra arrive at the Texas State Fair with
$51.50. What is the total number of rides they can go
on between them if they each pay the entrance fee of
$17 and rides are $2.50 each? write an equation then solve
Answer:
Step-by-step explanation:
so first you need to make a equation
since we are trying to find out the amount of rides we can make that stand for x so..
we can first write it as 2.50x
(x = the numbers of rides)
since the entree fee is 17 dollars but they are two kids we have to times 17 by 2 giving us 34 we can add 34 dollars to the equation
34 + 2.50x
alex and kendra have only $51.50 dollars and they cant spend more then that so that means the whole equation has to equal $51.50
34 + 2.50x = 51.50
since we are trying to find the number of rides we can subtract 34 on both sides giving us
2.50x = 51.50 - 34
2.50x = 17.50
then we solve for x which you can divde 2.50 on both sides
x = 17.50 /2.50
x = 7
Jeff can walk comfortably at 3.75 miles per hour. Find a linear function d that represents the total distance Jeff can walk in t hours, assuming he doesn't take any breaks
Answer:
Jeff can walk 3.75 miles per hour, so in 3 hours, he can walk 11.25 miles without any breaks, so, for each hour, you'll add 3.75 miles per hour. So, for the amount of hours, its would be (Answer) t.
Hope this helps! Have a nice day! ;D
Step-by-step explanation:
The linear function d that represents the total distance that Jeff can walk will be d = 3.75t
From the information given, Jeff can walk comfortably at 3.75 miles per hour and he can walk in t hours, therefore, the linear function d that represents the total distance that Jeff can walk will be:
d = 3.75 × t
d = 3.75t
In conclusion, the correct option is d = 3.75t.
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Examine the table and determine the rate of change. What is the rate of change? -4 -3 1 3
The answer to the question is 3
Answer: D
Step-by-step explanation:
sub to my yt clizey
please help me
what is the radical expression that is equivalent 27 ⅕?
enter your answer as a radical
Answer:
[tex]\sqrt[5]{27}[/tex]
Step-by-step explanation:
a¹/ᵇ = [tex]\sqrt[b]{a}[/tex]
Radical expression of 27 ⅕ is
27 ⅕ = [tex]\sqrt[5]{27}[/tex]Given: f(x) = 3 - x; g(x) = -2x Find f[g(2)].
Answer:
Step-by-step explanation:
g(2) = -2(2) = -4
f(-4) = 3 + 4 = 7
Find all points on the curve that have the given slope.x = 2cost, y= 8sint, slope =-1
Answer:
[tex]t_{1} = 0.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]
[tex]t_{2} = 1.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]
Step-by-step explanation:
In the case of parametric equations, the slope of the curve is equal to:
[tex]\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }[/tex]
Where [tex]\frac{dx}{dt}[/tex] and [tex]\frac{dy}{dt}[/tex] are the first derivatives of [tex]x[/tex] and [tex]y[/tex] regarding [tex]t[/tex]. Let be [tex]x(t) =2\cdot \cos t[/tex] and [tex]y(t) = 8\cdot \sin t[/tex], their first derivatives are found:
[tex]\frac{dx}{dt} = -2\cdot \sin t[/tex] and [tex]\frac{dy}{dt} = 8\cdot \cos t[/tex]
Thus, equation for the slope is:
[tex]\frac{dy}{dx} = -\frac{8\cdot \cos t}{2\cdot \sin t}[/tex]
[tex]\frac{dy}{dx} = -\frac{4}{\tan t}[/tex]
If [tex]\frac{dy}{dx} = -1[/tex], then:
[tex]-1 = -\frac{4}{\tan t}[/tex]
[tex]\tan t = 4[/tex]
Tangent is positive at 1st quadrant and is a function with a periodicity of [tex]\pi[/tex], the set of solutions are:
[tex]t_{1} = 0.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]
[tex]t_{2} = 1.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]
Definition: A __________________________ is your list of all income and planned expenses.
Answer:
personal budget
Step-by-step explanation:
Drawing up a budget is a good way to plan your expenditure based on how much money you expect to receive. Budgets are often estimates, because you cannot easily include unexpected expenses in a budget. However, you can plan to save some money that you can use in the event of an unexpected expense. Budgeting includes normal monthly budgeting and budgeting for particular expenses, such as an expensive item that you want to buy, a project or a trip overseas.
Solve using substitution: 2x−3y=−1 y=x−1
Answer:
x = 4y = 3Step-by-step explanation:
2x - 3y = - 1 ………… Equation 1
y = x - 1 ….……….… Equation 2
To solve using substitution , substitute equation 2 into equation 1
That's
2x - 3( x - 1) = - 1
2x - 3x + 3 = - 1
- x = - 1 - 3
- x = - 4
Multiply through by - 1
We have
x = 4Substitute x = 4 , into y = x - 1
We have
y = 4 - 1
y = 3
We have the answers as
x = 4
y = 3
Hope this helps you