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pav-90 [236]
4 years ago
10

This activity will help you meet these educational goals:

Mathematics
1 answer:
Montano1993 [528]4 years ago
7 0

Answer:

A

h = -16t^2 + 192t

B

Vertex=(6,576)

Step-by-step explanation:

The problem gives us the following data:

v_o=192\ ft/s,\ h_o=0

A.

Thus the function is

h = -16t^2 + 192t

The graph of h has the shape of an inverted parabola. Recall if the coefficient of the quadratic term is negative, the parabola is concave down, so it has a maximum value.

Part B

Let's take the function of h

h = -16t^2 + 192t

Factoring by -16

\displaystyle h = -16(t^2 - 12t)

Completing squares

\displaystyle h = -16(t^2 - 12t+36-36)

\displaystyle h = -16(t^2 - 12t+36)+576

Factoring

\displaystyle h = -16(t-6)^2+576

Rearranging

\displaystyle h -576= -16(t-6)^2

We can get the coordinates of the vertex from this standard form of the parabola.

Vertex=(6,576)

The maximum value means that at t=6 seconds, the firework will be 576 feet high and then it will start falling back to the ground.

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Help? thanks :D have a good day
galben [10]

Answer:

option a

Step-by-step explanation:

as 145 +10 = 155°

and total angle measure of triangle is 180

so

180-155 = 25°

in option a one angle is 10

other is 25 so obviously last angle will be 145

and same is in the triangle abc

one angle is 10 other is 145 and last is 25

both hve same measures thus are same triangles.

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3 years ago
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laila [671]

Answer:

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Find the point-slope equation for the line that passes through the points (-10,-20)and (1,-9)
qaws [65]
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4 years ago
Micah painted 96 square feet in the same amount of time that Noah painted 13, 750 square inches. How many more square inches did
rusak2 [61]

Answer: Micah painted 74 more square inches

Step-by-step explanation:

First, you need to find out how many square inches are in 96 square feet.

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3 years ago
60 is 15% of what number?
Norma-Jean [14]
Method 1

\begin{array}{ccc}60&-&15\%\\x&-&100\%\end{array}\ \ \ \ |cross\ multiply\\\\15x=60\cdot100\\15x=6000\ \ \ \ \ |divide\ both\ sides\ by\ 15\\\boxed{x=400}

Method 2

\begin{array}{cccc}15\%&-&60&|divide\ both\ sides\ by\ 3\\\\5\%&-&20&|multiply\ both\ sides\ by\ 20\\\\100\%&-&400\end{array}

Method 3

p\%=\dfrac{p}{100}\\\\15\%=\dfrac{15}{100}=0.15\\\\0.15x=60\ \ \ \ |divide\ both\ sides\ by\ 0.15\\x=400
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3 years ago
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