A telephone pole casts a 32-foot shadow, while a street sign next to the pole casts a 12-foot shadow. If the
telephone pole is 40 feet tall, what is the height of the street sign?
12

Answers

Answer 1

Answer: The height of street sign = 15

Step-by-step explanation:

At the same time, the angle made by the light on each object is the same.

Pole and street sign both standing vertical to the ground.

So triangle made by both of them are similar

The sides of similar triangles are proportional,

[tex]\dfrac{\text{height of street sign}}{\text{height of pole}}=\dfrac{\text{Length of the shadow made by street sign}}{\text{Length of the shadow made by pole}}\\\\\dfrac{\text{height of street sign}}{40}=\dfrac{12}{32}\\\\\text{height of street sign}=\dfrac{12}{32}\times40=15[/tex]

Hence, the height of street sign = 15


Related Questions

I need to know what is the find m<ACD​

Answers

Answer:

28

Step-by-step explanation:

if (AB and DC) parallels lines than the equation is alternate interior and therefore congruent to each other

Answer:
28 because they are equall

Given the definitions of f(x) and g(x) below, find the value of f(g(-1)).
f(x) = x^2+ x + 10
g(x) -5x-3

Answers

Answer:

16

Step-by-step explanation:

Given the definitions of f(x) and g(x) below,

f(x) = x^2+ x + 10

g(x) = -5x-3

f(g(x)) = f(-5x-3)

f(-5x-3) = (-5x-3)²+((-5x-3)+10

f(-5x-3) = 25x²+30x+9-5x-3+10

f(-5x-3) = 25x² +25x+16

f(g(x)) = 25x² +25x+16

f(g(-1)) = 25(-1)² +25(-1)+16

f(g(-1)) = 25-25 + 16

f(g(-1)) = 16

Hence f(g(-1)) is 16

QUICK
Your bank offers 6 percent annual interest, compounded monthly. If you start with $500 in your account, how much will you have after 3 months?

Answers

Answer:$590

Step-by-step explanation:

500*6%=30

30*3=90

500+90=590

What is the sum of 10/12and 11/12? Make sure to show all work to receive full credit!

Answers

Answer:

[tex]1\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{10}{12} +\frac{11}{12} \\\\\frac{21}{12} \\\\1\frac{9}{12} \\\\1\frac{3}{4}[/tex]

A running track consists of two parallel lines that are connected at each end but the curved boundary of a semicircle. The parallel lines are 30 meters long and 7 meters apart. Fine the area inside the running track.

Answers

Answer:

The area inside the running track is 248.5 m².

Step-by-step explanation:

The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:

[tex] A_{t} = A_{r} + 2A_{c} [/tex]                

[tex] A_{t} = x*(2r) + 2*(\frac{\pi r^{2}}{2}) [/tex]      

Where:

x: is one side of the rectangle = 30 m            

r: is the radius = half of the other side of the rectangle = 7/2 m = 3.5 m

Hence, the total area is:

[tex] A_{t} = 30*7 + \pi (3.5)^{2} = 248.5 m^{2} [/tex]                            

Therefore, the area inside the running track is 248.5 m².

I hope it helps you!                                                    

HELPPPP PLSSS I WILL MARK BRAINLYEST

Answers

Answer:

B.

Step-by-step explanation:

hope this helps!!

can I get a solution
[tex] \sqrt{x - 1} - 3 = 0[/tex]
is this solution correct or not can you please give me the following steps for this solution by solving for x if possible ​

Answers

Answer:

I don't think it is correct.

Step-by-step explanation:

Square root just means half of a number. If you square this number, it just goes back to it's original form, just without the square root sign. But however, You must square the 10 at the end of the equation as well. This solution is not correct.

HELP PLZ I'LL MARK BRAINLIEST!

Answers

Answer:

138.23

Step-by-step explanation:

the Question is on the image

Answers

Probably is 64% I just think it’s is but I’m not sure

i need to know what -2(3x)+56

Answers

Answer:

-6x + 56

Step-by-step explanation:

-2(3x) + 56

-6x + 56

Please help if you would want brianleist!! :D ^^

Answers

Answer:

384

Step-by-step explanation:

v= L x W x H

v= 4 x 2 x 1.2

v= 9.6

9.6 x 40 = 384

lmk if you have any questions  :)

Answer:

A

Step-By-Step Explanation:

Step One: The first step is to figure out the volume of one. The volume formula is length times width times height. We have all the dimensions so: 4 times 2 times 1.2= 9.6.

Step Two: Now, we just mutiply the number by 40 since there are 40 slabs: 384.

NEED HELP!! NO Absurd answers!
Use technology or a z-score table to answer the question.

The normal admission price to see a movie at different theaters is normally distributed with a mean of $11.80 and a standard deviation of $1.15.

Approximately what percent of theaters charge more than $10 to see the movie?


5.8%

19.8%

80.2%

94.2%

Answers

Answer:

Approximately 94% of theaters charge more than $10 to see the movie.

Step-by-step explanation:

Use a calculator with distribution functions such as normalcdf(

Here we have normalcdf(10,1000,11.80, 1.15) = 0.941

Approximately 94% of theaters charge more than $10 to see the movie.  This agrees with the last answer choice.

A set of data may have more than one mode.
(1 Point)
True
False

Answers

True

I’m not 100% positive but I’m pretty sure

Gavin divided his notebook into 8 equal parts. He plans to use 3 parts to take notes for math and 2 parts for reading. He has school from 8:30 A.M to 3:30 P.M. what fraction of his notebook does he have left?

Pls help I well mark you a brainliest...

Answers

Answer:

Gavin has 3 parts left.

Step-by-step explanation:

8-3-2=3. The time was not important.

Find the area of the larger sector.
Round to the nearest tenth.
2559
13.4 miles
Area = [ ? ]miles2
Enter

Answers

Step-by-step explanation:

the formula for the area of a sector is

(x°(r^2)π)/360

with x being the angle

r bring the radius of the circle

(255(13.4)^2π)/360

399.6

Hope that helps :)

Answer:

The answer is 399.6 not 399.4. I put 399.6 as my answer on acellus and I got it right.

You roll 2 six sided dice. What are the odds of rolling 2 sixes?

A. 1/6
B. 1/36
C. 1/18
D. 1/12

Answers

you will have 1/6 odds
You will have 1/12 odds

What is the percent of 0.875?

Answers

Answer:

87.5%

Step-by-step explanation:

Just move the decimal place twice to the right.

Answer:

87.5%

Step-by-step explanation:

0.875× 100= 87.5%

5potatos + 56 potatos

Answers

Answer:

61

Step-by-step explanation:

Donna made $357 for 17 hours of work. At the same rate, how many hours would she have to work to make $189?​

Answers

Answer:

9 hours.

Step-by-step explanation:

$357 / 17 = $21. ($21 per hour.)

$189/$21 = 9. BOOM

What is the length of the legs of the triangle if the hypotenuse of an isosceles right triangle is (sqrt)23 feet?
4 feet
8 feet
16 feet
16.2 feet

Answers

I believe 8 not for sure

The diameter of a circle is 8 inches. What is the area?

d=8 in

Give the exact answer in simplest form.

Answers

Step-by-step explanation:

Radius = Half of Diameter

r = 8/2

= 4 in.

Area of Circle =

[tex]\pi {r}^{2} \\ = \pi( {4}^{2} ) \\ = 16\pi \: {in}^{2} [/tex]

Solve the inequality for d

df+9h>2

Answers

Answer:

d=2_f - 9h_f

Step-by-step explanation:

es la segunda opción

Please help.
Is algebra.

Answers

Answer:

question 3= c     question 4= a

Step-by-step explanation:

The area of the base is 7 cm. What is the surface area of the pyramid?

Answers

Answer: 34.5

Step-by-step explanation:

(Base · Height) ÷ 2 → (2 · 4.5) ÷ 2 = 5.5

5.5 · 5 = 27.5

27.5 + 7 = 34.5

Your friend Sam wants to paint her room. She wants to paint the ceiling
white and the four walls purple.
You are helping Sam determine the cost and the amount of time needed to
paint her room.
The room is shaped like a rectangular prism with a height of 8 feet, length of
12 feet, and width of 10 feet as shown.

Answers

one hundred and twenty approximately

Use the diagram to identify 4 collinear points

Answers

Answer:

the answer is the (L,N,K,O)

HELP THIS IS DUE IN LIKE 20 MINS

Answers

Answer:

I cant see the full question enough to help you. Its showing like part of the question.

Answer:

4x+y=-7

Step-by-step explanation:

another, these are tricky to me.

Answers

Answer:

It would be D ^^

Step-by-step explanation:

I learned this 2 years ago lol <3

The base angles of an isosceles trapezoid are__________?​

Answers

Answer:

Base angles of an isosceles triangle are always congruent.

A store purchases a shirt for $16.89. The store marks up the shirt by 20%. Right now, they are having a sale for 40% off any item. What is the sale price with a 7.25% tax?

Answers

Answer:

$13.04

Step-by-step explanation:

First, multiply 16.89 by 1.2, 0.6, and 1.0725. You should get a weird number on your calculator saying 13.042458, but just round 2 to the 4 ( 4 stays the same) and remove all the other numbers to get $13.04

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