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Simora [160]
2 years ago
8

If you had a 15 foot ladder, how far away from the base of a wall would you have to put it to reach a window 12 feet up?

Mathematics
1 answer:
Kruka [31]2 years ago
5 0

Answer:

9.000000001

Step-by-step explanation:

If the hypotenuse is  15, the ladder, facing the right angle, and the opposite is 12 we need to use SOH to find the angle.

sin of angle is opposite / hypotenuse

sin of angle is 12 / 15

12/15 = 0.8

sin^-1 of 0.8 = 53.13010235

Angle is that

Then we do this again but a different equation

cos of angle is adjacent (x which we are looking for) / hypotenuse

cos of 53.13... is x / 15

(15 x cos of 53.13... )is x

So 15 x cos of 53.13... is 9.000000001 feet away.

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Answer:

45

Step-by-step explanation:

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9 × 5/1

9 × 5

45

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3 years ago
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The length of the den in Nellie's house is 18 feet. The area of the room is 216 square feet. How wide is the room?
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3 years ago
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Analia is a school district manager. Here are some details about two schools in her district for the last school year:
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1 year ago
The table shows the price for different numbers of board games:
zlopas [31]

Answer:

We conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the proportionality constant.

From the table,

For the point (2, 7)

k = y/x

  = 7/2

  = 3.5

For the point (4, 14)

k = y/x

   = 14 / 4

   = 7/2

    = 3.5

For the point (5, 17.50)

k  = y/x

   = 17.5 / 5

   = 3.5

For the point (9, 31.50)

k  = y/x

   = 31.50 / 9

   = 3.5

From the above calculations, we computed that the value of the proportionality constant remains the same.

Thus, the table of numbers represents a proportional relationship.

Therefore, the equation becomes

y = kx

The price of 2 board game

y = 3.5 (2)

  = 7

The price of 4 board game

y = 3.5 (4)

  = 14

Therefore, we conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

6 0
2 years ago
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