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26 November, 04:37

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?

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  1. 26 November, 04:39
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    Base of sail = 8 ft

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

    Step-by-step 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.
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