2 years ago

What is the area of this composite shape?

1 answer:

7 0

Area of rectangle = 6 x 7 = 42
area of triangle = 1/2(3)(6) = 9

area of figure = 42 + 9 = 51

answer
51 in²

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A football player punts a ball. The path of the ball can be modeled by the equation y = –0.004x2 + x + 2.5, where x is the horiz

Galina-37 [17]

The answer is 252.5 ft

y = –0.004x² + x + 2.5
Let's take y = 0 and we'll get the quadratic equation:

–0.004x² + x + 2.5 = 0
The general formula for quadratic equation is:
ax² + bx + c = 0

a = -0.004
b = 1
c = 2.5

$x_{1,2} = \frac{-b+/- \sqrt{ b^{2}-4ac} }{2a} =\frac{-1+/- \sqrt{ 1^{2}-4*(-0.004)*2.5} }{2*(-0.004)} = \frac{-1+/- \sqrt{1+0.04} }{-0.008} = \\ 
=\frac{-1+/- \sqrt{1.04} }{-0.008} = \frac{-1+/-1.02}{-0.008}$

$x_1=\frac{-1+1.02}{-0.008} = \frac{0.02}{-0.008} = -2.5 \\ 
x_2=\frac{-1-1.02}{-0.008} = \frac{2.02}{-0.008} = 252.5$

Since distance cannot be negative (x1), the correct answer is x2 = 252.5 ft

5 0

2 years ago

Read 2 more answers

Find the diameter of the circle with the given circumference.use 3.14 for pi C=23 cm

zvonat [6]

Answer:

7.324840764

Step-by-step explanation:

23/3.14=7.324840764

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2 years ago

if I have a binomial distribution where n equals 8 trials and a probability of success equals 0.40 what is the successes of X is