Max is installing a 12-ft swimming pool slide at a 50° angle of elevation. the bottom of the slide will be 1 foot off the ground and the top of the slide will be fixed to a platform. find the height of the platform. (round to nearest tenth) a) 9.2 ft b) 10.0 ft c) 10.1 ft d) 10.2 ft

D) 10.2 ft

The mnemonic SOH CAH TOA reminds you that

... Sin = Opposite/Hypotenuse

You want to find the length of the side Opposite the 50° angle, given the Hypotenuse is 12 ft. Then the relation is ...

... sin(50°) = height/(12 ft)

Multiplying by 12 ft gives

... height = (12 ft)·sin(50°) ≈ 9.2 ft

The height of the platform is 1 ft up from this value:

... 9.2 ft + 1 ft = 10.2 ft

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5