Question

1. Tracy is cutting material for a triangular sail. the height of the sale must be 2 feet longer than the base. the area of a cell is 40 square feet. what is the base of the sail?

2.when are the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air. the height of the ball is modeled by the equation h(t)= -16t^2+39t. if the ball is 25 feet above the ground will it be hit by the ball?​

Answer 1

Base of sail = 8 ft

If the bell is 25 feet above the ground it will not be hit by the ball.

Explanation:

Question 1 explained:

Given that,

area of sail = 40 ft²

Suppose base of sail = x

So height of sail = 2 + x

Area of triangle = 1/2 (h)(b)

40 = 1/2 (2+x) (x)

80 = x(2+x)

80 = 2x + x²

x² + 2x -80 = 0

(x-8)(x+10) = 0

x = -10 rejected

x = 8 accepted

Base of sail = x = 8 ft

Question 2 explained

Given in the question

The equation of height of ball

h = -16t² + 39t

25 = -16t² + 39t

-16t² + 39t - 25 = 0

when solving this equation t's answer is in imaginary form so, if the bell is 25 feet above the ground it will not be hit by the ball.