Peter was told by his teacher that he needed to measure the height of the building in which his classroom was located. He backs away from the building and places a mirror on the ground between him and the wall. When he can see the top of the building in the mirror, Peter is 2 feet 9 inches away from the mirror and the mirror is 11 feet away from the wall of the building. Peter knew his eye level was exactly 5 ft 6 inches off of the ground, so he was able to calculate the height of the building. How tall is the building in feet?

Answer:For this case we observe that the 2 angles of the triangle are equal. Also, we have by definition:

A triangle is , when the three sides are connected(in addition, the three internal angles measure 2 angles 45 degrees and 1 angle 90

Step-by-step explanation:

Answer: x= -12.5

Step-by-step explanation:

Start with distributing-5(x+4) or you get

x-5x-20=30

Add x and -5x to get -4x

Thank you add 20 to each side and get

-4x = 50

Divide by -4 on each side to get x=-12.5

Answer:

x=-25/2 is the answer.

Step-by-step explanation:

Below are the steps for solving the equation:

Step 1: Simplify, combine like terms, and distribute:

x−5(x+4)=30

x+(−5)(x)+(−5)(4)=30

x+−5x+−20=30

(x+−5x)+(−20)=30

−4x+−20=30

−4x−20=30

Add 20 to each side:

−4x−20+20=30+20

−4x=50

Divide each side by -4:

-4x/-4=50/-4

x=-25/2, which is -12.5 as a decimal.

So, your answer is x=-25/2 as a fraction, which is also -12.5 as a decimal.

Answer:

9 4/5

Step-by-step explanation:

Answer: 9.8

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

6c(3a)

c = 3

a = 1

6*3(3(1) )

6 * 9

54

Answer: 4,4

Step-by-step explanation:

because just listen to me ;)

Answer:

Step-by-step explanation:

for first,

then solving this we get

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

[tex]V=\sqrt[3]{x-1}+3[/tex]

Determining the domain:

We know that the domain of a function is the set of input values for which the function is defined.

From the given graph, it is clear that the function has no undefined points nor domain constraints.

Therefore, the domain is:

In other words:

[tex]\mathrm{Domain\:of\:}\:\sqrt[3]{x-1}+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Determining the range:

We know that the range of a function is the set of values of the dependent variable for which a function is defined.

It is clear from the graph that the range can be any real number.

i.e. the range is:

{y|y is a real number}

In other words,

[tex]\mathrm{Range\:of\:}\sqrt[3]{x-1}+3:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Answer:

= −25.1m − 9.1

Step-by-step explanation:

Answer:

-25.1m - 9.1

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200

Stay safe and Merry Christmas! :)

Answer:

the answer is 180

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

remember that the formula for the slope of a line is

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

where m is the slope, and the x and y variables are the x-y coordinates of two points. Choose two points on the line:

Point 1 : (-1,3) and Point 2 : (1,4)

Plug in your values:

[tex]m=\frac{4-3}{1-(-1)}[/tex]

[tex]m=\frac{1}{2} \\[/tex]

So the slope of this line is 1/2 !

Answer: The slope is [tex]\frac{1}{2}[/tex].

Here is a visual explanation when you use a graph instead of ordered pairs:

Answer:

x = 1

Step-by-step explanation:

2x + 1 = -1

2x = -1 - 1

2x = -2

x = -2 ÷ -2

x = 1

Answer:

72 Bricks would be needed.

Step-by-step explanation:

24 * 2 = 48

12 * 2 = 24

48 + 24 = 72

Answer:

2.5 minutes

Step-by-step explanation:

Dividing the average speed by distance will give you 2.5 which is the average speed the hoverboard goes assuming the hoverboard will travel at the same speed the answer is 2.5 minutes.

Answer:

6 dogs

Step-by-step explanation:

72 divided by 12=6

Please mark brainliset

Answer:

6:1, 6/1, or 6 to 1

Step-by-step explanation:

72/12

72/12=6

12/12=1

6/1

Answer:

c

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

because if the number is not higher than 50, you have to round down.

Answer:

( 4 x 8) x (2 x 5)

32 x 10

320

Answer:

c

Step-by-step explanation:

I think the answer would be A because 5% ×100=0.05 , and in the question they have been telling us that it decreased by 5 from the last week so the equation would be g of the last week - 0.05

Answer:

Adrian lives closer to the school by A. 1,250 meters.

Step-by-step explanation:

1 kilometer = 1,000 meters

So, if Kevin's home is 2 kilometers from the school, then it is also 2,000 meters away, since  1,000 x 2 = 2,000.

Adrian lives 750 meters, or 0.75 kilometers away from school.

2,000 - 750 = 1,250.

Therefore, Adrian lives closer to the school by A. 1,250 meters.

Hope this helps! :D

Answer:

Non-linear

Step-by-step explanation:

This equation represents a reciprocal function.

You can't divide by zero so it never passes the y-axis, therefore it cannot be linear.

The graph of this equation is attached below.

I hope this helps!!

- Kay :)

Non-linear. In linear equations, you don't divide a number by x.

Answer:

19

Step-by-step explanation:

The linear regression equation that represents this set of data is Y = -12.41 + 1.15x and the projected test  grade for a student with a homework grade of 49 is 44 and this can be determined by using the generalized equation of regression.

Given :

The generalized regression equation is given below:

Y = a + bX   --- (1)

where b is given by the formula:

[tex]\rm b = \dfrac{N\sum XY-\sum X \sum Y}{N\sum X^2-(\sum X)^2}[/tex]

Now, substitute the values of the known terms in the above formula in order to determine the value of 'b'.

b = 1.15

and the formula of a is given below:

[tex]\rm a = \dfrac{\sum Y - b \sum X}{N}[/tex]

Now, substitute the values of the known terms in the above formula in order to determine the value of 'a'.

a = -12.41

Now, substitute the values of a and b in the equation (1).

Y = -12.41 + 1.15x

Now, at x = 49 the value of Y becomes:

Y = -12.41 + 1.15(49)

Y = 43.94

Y [tex]\approx[/tex] 44

For more information, refer to the link given below:

https://brainly.com/question/7656407

Answer 174.30

Step-by-step explanation: 35 x 4.98 is 174.3

Answer: 7 and 8

Step-by-step explanation:

Square root and squared cancel out

Answer:

a=7

b=32

Step-by-step explanation:

The first one (a) is 7 because if you square a square root, you get the number inside the root. Also, technically a square root has an exponent of (1/2) so when you have a power-to-a-power (power rule of exponents) you multiply the exponents. So ([tex]7^{1/2}[/tex])^2 is 7.

For (b) you have to take it in two parts. Square the square root and you get 2. Square the 4 in front, you get 16. Multiply those two numbers (16 and 2) together and you get 32.

Edit: Check on your calculator, you get the same answers I got! :)

Answer:

answer is 1/4 or One divided by four

Answer:

[tex]y=\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]8x-4y=39; x=5\\\\8(5)-4y=39\\\\40-4y=39\\\\40-40-4y=39-40\\\\-4y=-1\\\\\frac{-4y=-1}{-4}\\\\\boxed{y=\frac{1}{4}}[/tex]

Hope this helps.

Answer:

With the discounts, you saved a total of $4.90. You still owe $29.10.

Step-by-step explanation:

Shoes:

10% of 24 is 2.4

The shoes cost 21.60  with the 10% discount and before tax.

Belt:

25% of 10 is 2.5

The belt cost $7.50 with the 25% discount and before tax.

Total:

You still owe 29.10 for the belt and shoes before tax.

You saved $2.4 on the shoes and $2.5 on the belt (total of $4.90)