If the mountain is 1,200 feet tall, find the length of the ski lift. * 360 ft
452 it
Ski Lint
Mountain

The length of the sky lift is 3.387.05 ft

Step-by-step explanation:

By an online search, i  found that the sky lift rises at an angle of 20.75 degrees.

Then we can think on a triangle rectangle, such that:

One cathetus is 1200ft, this is the opposite cathetus to the angle of 20.75°

The length of the ski lift would be the hypotenuse of this triangle rectangle.

Then we can use the relationship:

Sin(a) = opposite cathetus/hypoteuse.

such that:

a = 20.75°

opposite cathetus = 1200ft

then:

sin(20.75°) = 1200ft/hypotenuse

hypotenuse = 1200ft/sin(20.75°)  = 3.387.05 ft

The length of the sky lift is 3.387.05 ft

Cross multiply

Step-by-step explanation:

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.