A cell phone tower and a fence are on the same property. the fence is 8 feet tall and has a shadow that measures 14.5 feet. the shadow of the cell phone tower measures 72.5 feet . how tall is the cell phone tower ?​

Answers

Answer 1

Answer:

40 feets

Step-by-step explanation:

Given that:

Height of fence = 8 feets

Shadow of fence = 14.5 feets

Shadow of cell phone tower = 72.5 feets

Height of cell phone tower = x

Height of fence = shadow of fence

Height of tower = shadow of tower

8 feets= 14.5 feets

x feets = 72.5

Cross multiply :

(14.5 * x) = (72.5 * 8)

14.5x = 580 feets

x = 580/14.5

x = 40 feets

Hence, the height of the cell phone tower is 40 feets


Related Questions

Find the slope for the line that passes thru the points (-2, 7) and (4, 18)

Answers

Answer:

[tex]m=\frac{11}{6}[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, 7)

Point (4, 18)

Step 2: Solve for slope m

Substitute:                    [tex]m=\frac{18-7}{4+2}[/tex]Subtract/Add:               [tex]m=\frac{11}{6}[/tex]

Answer:

dkdkfdodffffdsddddddddd

If the ratio of the sides of two similar prisms is 4:1. Is the ratio of the volume of the prisms the same? (4:1)

Answers

Answer:

The ratio of their volumes is not the same 4:1, but [tex](4:1)^3[/tex] = 64:1.

Step-by-step explanation:

Measurements in Similar Figures

In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the other corresponding lengths can also be expressed as a:b.

In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the areas can be expressed as (a:b)^2 and the ratio of the volumes can be expressed as (a:b)^3.

We are given the ratio of the sides of two similar prisms as 4:1. The ratio of their volumes is not the same 4:1, but [tex]\mathbf{(4:1)^3}[/tex] = 64:1.

You wish to have $500 in a year. If you have a savings account that pays 6% simple interest, how much do you need to put into the account?

Answers

Answer:

$8333.3

Step-by-step explanation:

The problem here is to find the principal that will yield an interest of $500 in a year at a rate of 6%.

   Interest  = [tex]\frac{PRT}{100}[/tex]  

P is the principal

R is the rate

T is the time

The time is 1 year;

      500  = [tex]\frac{P x 6 x 1}{100}[/tex]

           6P = 50000

             P  = [tex]\frac{50000}{6}[/tex]   = $8333.3

I WILL GIVE BRAINLIEST
Rewrite 12x + 3y = 6 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =

Answers

Answer:

12x + 3y = 6 in slope-intercept form.y = -4x+2m = -4b =(0,2)

Does anyone know the answer!!!!


What is the absolute value of the number indicated on the number line below?

A. -2/3

B. -3/5

C. 3/5

D. 2/3

Answers

Answer:

C.

Step-by-step explanation:

Answer:

I believe is B or -3/5

Good luck!

Evaluate the expression 54⁰

Answers

Answer:

1

Step-by-step explanation:

All numbers to the power of 0 are 1.

PLS GIVE BRAINLIEST

Which of the expressions below is greater than 15? Select all that apply.

A) 4.583 + 10.673
B) 26.712 – 11.348
C) 45.768 – 28.945
D) 7.312 + 7.145
E) 11.32 + 3.11

Answers

Answer:

A

B

C

Step-by-step explanation:

[[[click on the image to make bigger]]]

I really need questions 2 and 4 for this!! please ​

Answers

Answer:

It equals pizza 3’5.42 inch

Step-by-step explanation:

plz tell me 12 x 12 = and 12 x 13 =

Answers

Answer:

12 x 12 = 144, 12 x 13 = 156

Step-by-step explanation:

what is 3/4 and 5/12 simplified in fraction form plz idk ​

Answers

isn’t it already simplified?... or am i stupid.

Answer:

Well 3/4 & 5/12 are already simplified and in fraction form, if youre

looking for decimal form its gonna be .75 &.41

Step-by-step explanation:

If the circumference of the circle is 24 inches what is the
approximate diameter

Answers

Answer:

7.64 in.

Step-by-step explanation:

The diameter of the circle whose circumference is 24 inches is 7.654 inches.

What is a circle?

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

The circumference of the circle, C = 24 inches,

Calculate the radius of the circle as shown below,

Circumference = [tex]2\pi r[/tex]

C = 2 × π r

r = 24 / 2π

r = 3.819

r = 3.82 inches

Calculate the diameter as shown below,

Diameter = 2 × r

Diameter = 2 × 3.82

Diameter = 7.639 inches

Thus, the diameter is 7.64 inches.

To know more about circle:

https://brainly.com/question/266951

#SPJ2

What is the solution to x-8>-3

Answers

Answer:x>5

Step-by-step explanation:

The correct answer is x=5

Here is the soulution:

Add 8 to both sides of the equation. x = −3 + 8

Add −3 and 8.

That equals x = 5.

Ben and josh went to the roof of their 40-foot tall high school

Answers

What is the question I do not see no question so how I’m supposed to answer

use an identity to solve the equation on the interval [0,2pi) sin x cos x = -1/4 x=

Answers

Answer:

The solution of the given equation is    x = 105 °∈ ( 0 , 2pi)

Step-by-step explanation:

Step(i):-

Given equation is sin x cos x = -1/4

                           [tex]2(2sinxcosx) = -1[/tex]

we know that trigonometry formula

                             2 sin x  cos x = sin 2x

                            2 ( sin 2 x) = -1

                                sin2x = -1/2

Step(ii):-

                            sin2x =    [tex]\frac{-1}{2} = sin (\pi +\frac{\pi}{6}[/tex]

                 sin2x = sin 210                       2x = 7π/6                       2x = 210°                                x = 105 °The solution of the given equation is    x = 105 °∈ ( 0 , 2pi)

Is the network in d) an Euler circuit? Can this network can be traversed?
...
А
B
А
B
b)
G
X
F
H
H
E
D
D
А
E B
А
B
d)
G
E
F
DF
C
D
C

Answers

Answer:

If a graph is an Euler Circuit that mean that it can be traversed and begins and has all even verticies.  This allows you to start and stop at the same verticie.

Step-by-step explanation:

Do I have this correct or did I read the instructions wrong? This is due tomorrow and I’m still on slide 1. Pls help!

Answers

Answer:you are correct great job

Answer:

Hey man! Just saw this and that answer is not correct! I see how you were thinking tho. Here is how it should be graphed.

Step-by-step explanation:

I have marked the correct dots in green.

How many solutions does this system have?
-x + 2y = 16
4x - 8y = -64​

Answers

Infinite number of solutions
Multiply first equation by -4
You would get the same equation as the second one

help plz and it’s not 61.6 because that’s what someone has said

Answers

Answer:  250 total kids and 140 girls

Step-by-step explanation:

%56=girls that means %44= boys  that means 110 is %44 of the number of kids is 110/44*100= 2.5*100=250kids  56%=girls that means %56 of 250 which is 140 girls

24 = 3(n–5)

What is the answer​

Answers

Step-by-step explanation:

24=3n-15 or,25+15=3n or,39=3n or,39/3=n or,n=13 therefore the value of n is 13. I think this answer is helpful for you

Answer: n = 13

Step-by-step explanation:

24=3(n-5) - First  distribute the 3 to the n and the 5. Which you would than get 3n and -15

24=3n-15 - Now add the 15 to both sides which would cause it to cancel out on the left side of the equal side.

39=3n - Now divide the 3 from 3n on both sides of the equal side.

n=13 - Once you do that you will get n = 13. That is your answer!

help
Please!!!!!!!!
Will appreciate it :)

Answers

Answer:

-5(-6x² + x + 2)

Step-by-step explanation:

-5(-6x² + x + 2)

= (-5)(-6x²) + (-5)(x) + (-5)(2)

= 30x²-5x-10

simplify 6³÷2³×9^-2​

Answers

answer is

0.33333333333

In order to accumulate enough money for a down payment on a house, a couple deposits $589 per
month into an account paying 3% compounded monthly. If payments are made at the end of each period,
how much money will be in the account in 4 years?
Type the amount in the account: $
(Round to the nearest dollar.)

Answers

you have four years 1767 dollars in account

A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular Norman window is to be 25 feet. What should the rectangle's dimensions be in order to maximize the area of the window and, therefore, allow in as much light as possible? (Round your answers to two decimal places.)width ________ ftheight _______ ft

Answers

Answer:

[tex]Length =\frac{25}{4 + \pi}[/tex] and [tex]Width = \frac{50}{4+\pi}[/tex]

Step-by-step explanation:

This question is better understood with an attachment.

See attachment for illustration.

Given

Represent Perimeter with P

[tex]P = 25ft[/tex]

Required

Determine the dimension of the rectangle that maximizes the area

First, we calculate the perimeter of the rectangular part of the window.

From the attachment, the rectangle is not closed at the top.

So, The perimeter would be the sum of the three closed sides

Where

[tex]Width = 2x[/tex]

[tex]Length = y[/tex]

So:

[tex]P_{Rectangle} = y + y + 2x[/tex]

[tex]P_{Rectangle} = 2y + 2x[/tex]

Next, we determine the circumference of the semi circle.

Circumference of a semicircle is calculated as:

[tex]C = \frac{1}{2}\pi r[/tex]

From the attachment,

[tex]Radius (r) = x[/tex]

So, we have:

[tex]C = \frac{1}{2}2\pi * x[/tex]

[tex]C = \pi x[/tex]

So, the perimeter of the window is:

[tex]P = P_{Rectangle} + C[/tex]

[tex]P =2y + 2x + \pi x[/tex]

Recall that: [tex]P = 25[/tex]

So, we have:

[tex]25 =2y + 2x +\pi x[/tex]

Make 2y the subject

[tex]2y = 25 - 2x - \pi x[/tex]

Make y the subject:

[tex]y = \frac{25}{2} - \frac{2x}{2} - \frac{\pi x}{2}[/tex]

[tex]y = \frac{25}{2} - x - \frac{\pi x}{2}[/tex]

Next, we determine the area (A) of the window

A = Area of Rectangle + Area of Semicircle

[tex]A = 2x * y + \frac{1}{2}\pi r^2[/tex]

[tex]A = 2xy + \frac{1}{2}\pi r^2[/tex]

Recall that

[tex]Radius (r) = x[/tex]

[tex]A = 2xy + \frac{1}{2}\pi x^2[/tex]

Substitute [tex]\frac{25}{2} - x - \frac{\pi x}{2}[/tex] for y in [tex]A = 2xy + \frac{1}{2}\pi x^2[/tex]

[tex]A = 2x(\frac{25}{2} - x - \frac{\pi x}{2}) + \frac{1}{2}\pi x^2[/tex]

Open Bracket

[tex]A = 2x * \frac{25}{2} - 2x * x - 2x * \frac{\pi x}{2} + \frac{1}{2}\pi x^2[/tex]

[tex]A = 25x - 2x^2 - \pi x^2 + \frac{1}{2}\pi x^2[/tex]

[tex]A = 25x - 2x^2 - \frac{1}{2}\pi x^2[/tex]

To maximize area, we have to determine differentiate both sides and set A' = 0

Differentiate

[tex]A' = 25 - 4x - \pi x[/tex]

[tex]A' = 0[/tex]

So, we have:

[tex]0 = 25 - 4x - \pi x[/tex]

Factorize:

[tex]0 = 25 -x(4 + \pi)[/tex]

[tex]-25 =-x(4 + \pi)[/tex]

Solve for x

[tex]x = \frac{-25}{-(4+\pi)}[/tex]

[tex]x = \frac{25}{4+\pi}[/tex]

Recall that

[tex]Width = 2x[/tex]

[tex]Width = 2(\frac{25}{4+\pi})[/tex]

[tex]Width = \frac{50}{4+\pi}[/tex]

Recall that:

[tex]y = \frac{25}{2} - x - \frac{\pi x}{2}[/tex]

Substitute [tex]\frac{25}{4+\pi}[/tex] for x

[tex]y = \frac{25}{2} - (\frac{25}{4+\pi}) - \frac{\pi (\frac{25}{4+\pi})}{2}[/tex]

[tex]y = \frac{25}{2} - (\frac{25}{4+\pi}) - \frac{\frac{25\pi}{4+\pi}}{2}[/tex]

[tex]y = \frac{25}{2} - (\frac{25}{4+\pi}) - \frac{25\pi}{4+\pi} * \frac{1}{2}[/tex]

[tex]y = \frac{25}{2} - \frac{25}{4+\pi} - \frac{25\pi}{2(4+\pi)}[/tex]

[tex]y = \frac{25(4+\pi) - 25 * 2 - 25\pi}{2(4 + \pi)}[/tex]

[tex]y = \frac{100+25\pi - 50 - 25\pi}{2(4 + \pi)}[/tex]

[tex]y = \frac{100- 50+25\pi - 25\pi}{2(4 + \pi)}[/tex]

[tex]y = \frac{50}{2(4 + \pi)}[/tex]

[tex]y = \frac{25}{4 + \pi}[/tex]

Recall that:

[tex]Length = y[/tex]

So:

[tex]Length =\frac{25}{4 + \pi}[/tex]

Hence, the dimension of the rectangle is:

[tex]Length =\frac{25}{4 + \pi}[/tex] and [tex]Width = \frac{50}{4+\pi}[/tex]

whats 4/5 of 3/4 and whats 2/3 of 1/4

Answers

Answer:

4/5 of 3/4 = 3/5

2/3 of 1/4 = 1/6

Step-by-step explanation:

That doesn’t really make sense

The sum of two numbers is 12.
When three times the first number is added to 5 times the second number, the result is 44.
Find the two numbers.
A 9 and 3
B) 8 and 4
C) 10 and 2
D) 7 and 5

Answers

Answer:

b

Step-by-step explanation:

8*3

=24

4*5

=20

20+24

=44

Mr. Dudley is writing a test for his mathematics class. The test will have true/false
questions worth 2 points each and multiple-choice questions worth 4 points each for a
total of 100 points. He wants to have twice as many multiple-choice questions as
true/false questions. How many true/false questions and multiple-choice questions will
be on the test?

Answers

Answer:

10

Step-by-step explanation:

so x=true/false questions

y=multiple-choice questions

2x+4y=100

2x=y

plug in 2x for y in the first equation

2x+4(2x)=100

10x=100

x=10

y=20

The total questions would include 10 true/false questions and 20 multiple-choice questions.

We have Mr. Dudley who is writing a test for his mathematics class. The test will have true/false questions worth 2 points each and multiple-choice questions worth 4 points each for a total of 100 points. He wants to have twice as many multiple-choice questions as true/false questions.

We have to determine how many true/false questions and multiple-choice questions will be on the test.

What do understand by Modelling of a Equation ?

The modelling of equation is done to derive a mathematical relation among the terms defined in a mathematical statement.

According to the question -

Assume that the number of true/false questions be x.

Assume that the number of multiple-choice questions be y.

Then -

y = 2x

Points for each true/false questions - 2 points

Points for each multiple-choice questions -  4 points

Total points of test = 100 points

Now,

Model the equation on the basis of above information -

2x + 4y = 100

2x + 4 (2x) = 100

2x + 8x = 100

10x = 100

x = 10

Therefore -

y = 2x = 2 x 10 = 20

Hence, the total questions would include 10 true/false questions and 20 multiple-choice questions.

To solve more questions on Equation modelling, visit the link below -

brainly.com/question/689722

#SPJ6

What type of number is 739?.
A. Neither
B. Prime
C. Composite ​

Answers

ANSWER

For 739, the answer is: prime anslo written as B

Step-by-step explanation:

739 is a prime number because it has only two distinct divisors: 1 and itself (739).

HAVE A GOOD DAY!

Answer:

its neither

Step-by-step explanation:

Which number line shows the solution to the inequality 5x + 3> - 17

Answers

Answer:

C would be the correct number line

Step-by-step explanation:

5x ≥ - 17 - 3

5x ≥ -20

5x/5 ≥ -20/5

x ≥ 4

Manuel earned a grade of 80%. He got 16 correct. How many problems were on the test? plz solve quick

Answers

Answer:

20

Step-by-step explanation

Missy wants to find the surface area of a snack box in her pantry her work is shown below

Answers

Answer:

Step 2: Missy did not multiply the area of each face by 2 before adding.

Step-by-step explanation:

I took the test :)

Other Questions
what affects did trade having on the mesopotamian civilization Please Help!!! No random answers, please!How is a hero kind? Answer in 2-3 sentences. Mrs. Alonza ordered 4 x 10 markers for her store. How many markers did she order? In which nation were natufian villages located? hey there peeps! I usually don't ask for this much help but today I need it so...3 1/5 x5/8 what will be the 40th term in the sequence defined by an=-12+4(n-2) What is 2x+8x=6? Please answer accurately??? Two factors which cause global climate change are listed below. Factor 1: Changes in the shape of Earth's orbit. Factor 2: Changes in the amount of Sun's heat received by the Earth's atmosphere and surface. Which of these statements is correct about the two factors which cause global climate change? A qu se le denomina el efecto padres? Cmo lo podramos definir? How does Kafka use words with traditionally positive connotations to express negative thoughts? In which pair do both decimals represent rational numbers?O A. 0.296 and 0.9888...B. 4.462837305718274... and 0.9888O C. 6.32891237302554... and 0.9888...D. 6.32891237302554... and 0.296 If there is an excess supply of money in the economy, A. there is also an excess demand for money B. there is also an excess demand for bonds C. there is also an excess supply of bonds D. the interest rate will rise E. the Fed must intervene to restore equilibrium Help please, thanks :) Write a paragraph in the importance of folk dances Who experimented with oil and water layers in 1917 What is the answer for A B and X (geometry) Amna wants to rent a boat and spend less than 51 . The boat costs 6 per hour, and Amna has a discount coupon for 3 off What are the possible numbers of hours Amna could rent the boat? someone do this plz ill pay u when im rich Brad had 10 crickets in his pet lizards cage. After one day, Brads lizard has eaten 20% of the crickets he had put in the cage. By the end of the next day, the lizard had eaten 25% of the remaining crickets. how many crickets were left in the cage at the end of the second day? The owner of a pet store sells 5 goldfish for $9 . What is the cost in dollars for one goldfish