Kendra can see the top of her apartment building reflected in a small fish pond in a park across the street. She is standing 2 m from the pond, and the distance from the pond to the apartment building is 40 m. If Kendra's eyes are 150 cm above the ground, how tall is the apartment building?

Answers

Answer 1

Answer:

Step-by-step explanation:

According to problem description, we have two triangles

The first one:   the fish pond and feet and eyes of Kendra

The second one the fish  pond and the side wall of the apartment

These two triangles have angle  α  as common angle and its tan

tan α  =  1.5/ 2   =  x/ 40     then         note  :  150 cm  =  1.5 m

1.5/ 2   =  x/ 40

x  =  40 * 1.5 / 2

x  =  30 m


Related Questions

How do I find RS? I've been having great trouble with questions like this recently.

Answers

RS = 5

To find the value of RS, you first have to solve for the variable x.

To do this you solve the equation of 2x - 6 + 1 + x - 4 = 18. You get this equation by adding all the values of the line PS together, equaling them to 18, because these lines have the same value.

Solving this equation gives you x = 9.

You then substitute 9 into x - 4.

9 - 4 = 5.

This gives you RS = 5

Answer:

5

Step-by-step explanation:

We can solve by solving for x

2x-6 + 1 + x-4 = 18

3x-9=18

3x=27

x=9

Plug in 9 for x in Segment RS and you get (9) - 4 = 5

Hope this Helps!

Please Mark Me Brainliest!

:)

Please help me i would give more points but i dont have much (Giving brainlest)

Answers

5.3x - 8.14 + 3.6x + 9.8

Rearrange to make it easier!

5.3x + 3.6x + 9.8 - 8.14

8.9x + 1.66

B is the answer.

Answer:

Step-by-step explanation:

First, put them in order.

5.3x+3.6x+9.8-8.14

Add 5.3x and 3.6x

8.9x

Subtract 8.14 from 9.8

1.66

multiply the following using the vertical multiplication method: 3x^2+5x+1×x^2-2x+4​

Answers

Answer!4x² + 3x + 4Solution!

__________________________

Step 1: Combine 3x² and 1x² to get 4x²

Step 2: Combine 5x and -2x to get 3x

3x² + 5x + 1 × x² - 2x + 4

= 4x² + 5x - 2x + 4= 4x² + 3x + 4

___________________________

Which statement describes why the system has two solutions?

Answers

The graph intersects on the x axis

Candace complete a 3.1 mile run in 22 1/2 minutes. At that pace, what is her unit rate, in minutes per mile? Round your answer to the nearest tenth.

Answers

3.1 x 22 1/2 = 69.75 rounded is 70

what is the area of this rectangle?

Answers

Answer:

24 tiles^2

Step-by-step explanation:

Length = 6

width = 4

Area = Length x width

        = 6 x 4

        = 24 tiles^2

The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers greater than or equal to

Answers

Answer:

Step-by-step explanation:

The function f(x) is shown below.

If g(x) is the inverse of f(x), what is the value of f(g(2))?

Answers

Answer:

f(g(2)) = 2

Step-by-step explanation:

g(2)

g is the inverse function of x, which means that [tex]g(2)[/tex] is the value of x for which [tex]f(x) = 2[/tex], which is [tex]x = -3[/tex], and thus, [tex]g(2) = -3[/tex]

f(g(2))

[tex]g(2) = -3[/tex]

Thus

[tex]f(g(2)) = f(-3)[/tex]

Looking at the table, when [tex]x = -3, f(x) = 2[/tex]

Thus: [tex]f(g(2)) = 2[/tex]

Determine whether each side with given lengths is a right triangle.
A. a=5, b=10 and c=15
B. a=11, b=60 and c=61

Answers

Answer:

61

Step-by-step explanation:

lenths is a right anglre

The incomplete Venn diagram below shows the number of students in a class of 28 who play football and tennis. U F x T U = {all students in the class} F = {students who play football} T= {students who play tennis} Additional information about the class is that 12 students play tennis 15 students play football 8 students play ncither football nor tennis r students play BOTH football and tennis. (1) Complete the Venn diagram above to represent the information, showing the number of students in EACH subset. (3 marks) Calculate the value of x. ​

Answers

Answer:

28=12+15+8+x

28=35+x

35-28=x

x=7

Which integer is farthest from 0?
3
-8
-10
9

Answers

Answer:

-10

Step-by-step explanation:

i think this is the answer

ok pls pls help !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

everything can be found in the picture

Out of 113 students, it was found that 18 drink neither tea nor coffee, 67 drink tea and 37 drink coffee.Find:
i) How many students drink coffee only?
ii) How many students like tea only?
Also show in the Venn diagram?​

Answers

Answer:

Step-by-step explanation:

If f(x) = 3x + 2, what is f(5)?

Answers

Answer:

17

Step-by-step explanation:

f(x) = 3x + 2

Let x=5

f(5) = 3*5 + 2

Multiply first

    = 15+2

Then add

    = 17

The answer is 17 your welcome

Help
Help
Help
Help
Help
Help

Answers

Answer:

105˚, 75˚

Step-by-step explanation:

<2 is 75˚ by same side angles of a transversal.

<1 is supplementary to <2 so 180-75 = 105˚


Write and equation for a line that is parallel to the line 4y + 3x = 12

Answers

Answer:

y = -3/4 x + B

Step-by-step explanation:

B is the translation of the line across y-axis

Which equation represents a line which is parallel to the line 7y-4x=-14

Answers

Answer:

sympathise or strategies

What is the volume of the rectangular prism?

Answers

Answer:

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in.

Find the percent change and tell whether it is a percent decrease or
increase.
Original amount: 30
End amount: 45

Answers

It increased by 50%. The original amount was 30 and it went up 15. Half of 30 is 15 so to go up 15 we increased the original amount by 50%

What is the correct ratio of each rational root of the polynomial Function

Answers

Answer:

factor of 6 and 5

Step-by-step explanation:

Which one is it?
a) <
b) =
c) >

Answers

Answer:

B) =

Step-by-step explanation:

When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.

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Have a great summer :)

The value of log₃⁵ x log₂₅⁹ is...

Answers

Answer:

i dont know this answer but the answer will be 2log3 ok cheak it clearly wheather it is right or wrong

PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST

Answers

20 a: x = 5

20 b: x = 12

17 c: 30

V = I ( R + r )
r = ?

Answers

Answer:

r = [tex]\frac{V-IR}{I}[/tex]

Step-by-step explanation:

Given

V = I (R + r) ← distribute parenthesis

V = IR + Ir ( subtract IR from both sides )

V - IR = Ir ( divide both sides by I )

[tex]\frac{V-IR}{I}[/tex] = r

PLEASE HELP! Math (recursive sequences)

Answers

Answer:

a₄ = 123

Step-by-step explanation:

a₁ = 1

a₂ = (1)² + 2

a₂ = 3

a₃ = (3)² + 2

a₃ = 11

a₄ = (11)² + 2

a₄ = 123

Help plsss 10 points

Answers

the answer is 3.....

Write an equation of the line that passes through the point (4,5) and has a slope of -2.

Answers

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (4, 5) into the partial equation

5 = - 8 + c ⇒ c = 5 + 8 = 13

y = - 2x + 13 ← equation of line

Answer:

Step-by-step explanation:

slope=-2

now using slope intercet formof equation of straight line,we get

y=mx+b

or, y=-2x + b

y + 2x =b

2x + y=b ......................   eq(i)

since the line passes through the point (4,5) it satisfies the equation (i)

y=5 and x=4 so,

equation is 2x +y =b

2*4 + 5=b

8+5=b

13=b

substituting the value of b in eq(i)

2x + y=b

2x + y=13

2x + y-13=0  is the required equation of the line.

Please help I’ll give brainliest

Answers

Answer:

15

Step-by-step explanation:

15 cubed (15×15×15) equals 3375

6
(
f
+
4
)
+
2
(
f
+
4
)

Answers

6(f+4) + 2(f+4)

Use the distributive property:

6f+24 + 2f + 8

Now combine like terms:

8f +32

The answer is 8f + 32

Answer:

8 f + 32

Step-by-step explanation:

6 ( f + 4 ) + 2 ( f + 4 )

Distribute

6 × f + 6 × 4 + 2 × f + 2 × 8

6 f + 24 + 2f + 8

Collect like terms

6 f + 2 f + 24 + 8

Add the numbers

8 f + 32

**PLEASE HELP THIS IS FOR A FINAL**

Please show work as well

Answers

The answer could be 3/2 or 1/4 and I don’t know if this is right
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