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Art [367]
3 years ago
15

Noah's cousin is exactly 7 years younger than Noah. Let M represent Noah's cousin's age in months and N represent Noah's age in

years. 1. If Noah is 15 years old, how old is his cousin, in months? 2. When Noah's cousin is 132 months old, how old is Noah, in years? 3. Write a function that gives the age of Noah's cousin in months, as a function of Noah's age in years. 4. Write the inverse of the function you wrote. What are the input and the output of this inverse function?​
Mathematics
1 answer:
sashaice [31]3 years ago
7 0

Answer:

1,if Noah is 15 his cousin is 8 or 96 months

2, and when Noah's cousin is 132 months or 11 years old Noah will be 18

3,n-[[7]12]=age of Noah's cousin

Step-by-step explanation:

1,15-7=8

1 part 2, 8*12=96

2,132/12=11

2 part 2,

11+7=18

3,n-[[7]12]=age of Noah's cousin

4,n+[7/12]

if n=18

18+[7/12]

or

18+0.5833=18.5833

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2 years ago
You are searching for two integers. The sum of twice the first integer and three times the second integer is nine. At the same t
devlian [24]

Answer:  -3 and 5

<u>Step-by-step explanation:</u>

Let x represent the 1st digit and y represent the 2nd digit. Then,

Eq 1: 2x + 3y = 9   →    3(2x + 3y = 9)     →     6x + 9y = 27

Eq 2: 3x + 2y = 1   →   -2(3x + 2y = 1)     →     <u>-6x - 4y =  -2</u>

                                                                              5y = 25

                                                                                y =  5

Substitute y = 5 into either of the original equations to solve for x:

2x + 3y = 9

2x + 3(5) = 9

2x + 15 = 9

2x        = -6

 x        = -3

Check (using the other original equation):

3x + 2y = 1

3(-3) + 2(5) = 1

-9    +  10   = 1

        -1       = 1  \checkmark

4 0
3 years ago
You stand 50 feet from a monument. The angle of depression from the top of the monument to your feet is 64 degrees. Approximatel
Murrr4er [49]

Answer:

The monument is approximately 86.6 feet tall

Step-by-step explanation:

The given monument parameters are;

The distance of the person from the monument = 50 feet

The angle of depression from the top of the monument to the person's feet = 64°

Given that the angle of elevation to the top of the monument from the person's feet = The angle of depression from the top of the monument to the person's feet, we have;

tan(Angle of depression) = tan(Angle of elevation) = (The height of the monument)/(The distance from the monument)

∴ The height of the monument = tan(Angle of depression) × The distance from the monument

Substituting the known values, gives;

The height of the monument = tan(60°) × 50 ≈ 86.6

The height of the monument ≈ 86.6 feet.

7 0
3 years ago
Ryan wanted to know the height of a cell-phone tower neighboring his property he walked 80 feet from the base of the tower and m
spin [16.1K]
Since Ryan is 5 feet tall, we will assume that the height of the cell-phone tower is x + 5.
Since the given is 54 degrees. 
Tan 54degrees = x/80(feet)
x=80(tan54)
x=110
To finalize the answer, we will add up the height of the cell-phone tower to the answer. 
110 + 5 = 115 feet
So the answer to the question is that the height of the cell-phone tower is 115 ft.
3 0
3 years ago
HELP!!! ASAP
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