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jasenka [17]
3 years ago
14

The height in meters of a projectile is modeled the function h(t)= -5t^2+25, where t is the time in seconds. a) Find the point w

hen the object hits the ground. b) Find the average rate of change from the point when the projectile is launched to the point in which it hits the ground. c) Estimate the object’s speed at the point of impact.
Mathematics
1 answer:
melomori [17]3 years ago
5 0
h(t)=-5t^2+25\\-5t^2+25=0\\25=5t^2\\5=t^2\\\sqrt{5}=t\\\\A(t)=\frac{f(t+h)-f(t)}{h}\\A(0)=\frac{f(\sqrt{5})-f(0)}{\sqrt{5}}\\A(0)=\frac{0+25}{\sqrt{5}}\\A(0)=\frac{25\sqrt{5}}{5}\\A(0)=5\sqrt{5}\\\\h'(t)=-10t\\h'(\sqrt{5})=-10(\sqrt{5})

A. sqrt(5)
B. 5 sqrt(5)
C. 10 sqrt(5)
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bekas [8.4K]

Answer:

Split the number into the whole number component and fraction component.

5 8/25= 5+8/25.

For the denominator, recognize that

25×4=100.

Multiple =4.

Multiply the numerator and the denominator by the multiple 4.

8×4/ 25×4.

Simplify.

32/100=0.32

Combine the whole number component with the decimal.

5+0.32=5.32

<h3>I hope this helps</h3>

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3 years ago
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arlik [135]
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<h2>ANSWER</h2>

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2 years ago
Look at the triangle below which of the following represents two of the angle measures of the triangle
Gelneren [198K]

Answer:

C. 60° and 80°

Step-by-step explanation:

Sum of triangle = 180°

Therefore,

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Add like terms

8x + 6x + 10x + 4 - 2 + 10 = 180

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24x = 180 - 12

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x = 168/24

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Find each measure of the angles by substitute x = 7 into each expression

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6x - 2 = 6(7) - 2 = 40°

10x + 10 = 10(7) + 10 = 80°

The answer is 60° and 80°

6 0
3 years ago
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Citrus2011 [14]

Answer:

2

Step-by-step explanation:

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3 0
2 years ago
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