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meriva
4 years ago
12

N a soccer game, Sally kicks the ball to a teammate who is on the other side of the field. The ball's height h (in feet above th

e ground), t seconds after Sally kicked it, is modeled by: -2t^2+10t What is the height of the ball at the time it is kicked?
Mathematics
1 answer:
tresset_1 [31]4 years ago
8 0

Answer:

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

Step-by-step explanation:

The height of the ball after t seconds is given by the following equation:

h(t) = -2t^{2} + 10t

What is the height of the ball at the time it is kicked?

The ball is kicked at t = 0.

So we have to find h(0)

h(0) = -2*0^{2} + 10*0 = 0

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

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The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t
zloy xaker [14]

Answer:

103=  p small

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Step-by-step explanation:

We know that the the ratio of the areas is the scale factor squared/

Larger triangle over smaller triangle

72

----- = scale factor ^2

50

simplify by dividing by 2 on top and bottom

36

----- = scale factor ^2

25

Take the square root of each side

sqrt(36)

-------------- = sqrt(scale factor ^2)

sqrt(25)

6

-------------- = scale factor

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The ratio of the perimeters is the scale factor

p large             6

-------------- = ----------------

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Using cross products

6 p large = 5 p small

We know the sum is 226

p large + p small = 226

p large = 226 - p small

We have 2 equation and 2 unknowns

6 p large = 5 p small

Substitute for p large

6 (226 - p small) = 5 p small

1356 - 6 p small = 5 p small

Add 6 p small to each side

1356 = 11 p small

divide by 11

1356/11 =  p small

P large = 226-1356/11

p large = 2486/11-1356/11

plarge = 1130/11

The solution requires whole number answers so

1356/11 =  p small

123.27 which rounds to 123

plarge = 1130/11

plarge = 102.7272 = 103

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