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andrew11 [14]
3 years ago
9

A swimming pool has a diameter of 32 feet.

Mathematics
1 answer:
Setler79 [48]3 years ago
4 0
Area = 256*3.14=804feet^2
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A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
Stolb23 [73]

Answer:

  • t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Explanation:

<u>1) Explanation of the model:</u>

  • Given: h(t) = -16t² + 48t

  • This is a quadratic function, so the height is modeled by a patabola.

  • This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.

<u>2) Axis of symmetry:</u>

  • The axis of symmetry of a parabola is the vertical line that passes through the vertex.

  • In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)

  • In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5

<u>Conclusion</u>: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of  1. 5 s + 1.5 s = 3.0 s.

Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

8 0
3 years ago
How many times can 7 go into 6437?
asambeis [7]
About 9-10 times(when you divide you get a decimal)

3 0
3 years ago
How do you solve this?
Pepsi [2]
From symmetry of sin(x) about pi/2, we know that sin(x)=sin(pi-x).
Therefore
sin(x)+sin(pi-x)=sin(x)+sin(x)=2sin(x).
3 0
3 years ago
Find the surface area and volume of a cube with sides of 5.5 cm each.
djyliett [7]

Answer:

Area: 181.5

Volume: 166.4

Step-by-step explanation:

Hope this helps.

6 0
3 years ago
PLEASE HELP ME SLOVE <br> Answers <br> A.72<br> B.6<br> C.12<br> D.4/41
Makovka662 [10]

{ \sf{ \red{using \: pythagoras \: theorem}}} \\  \\ { \sf {(20)}^{2}  -  {(16)}^{2} =  {x}^{2}  } \\  \\ { \sf{400 - 256 =  {x}^{2} }} \\  \\ { \sf{144 =  {x}^{2} }}

{ \sf{x =  \sqrt{144} }} \\  \\ { \boxed{ \boxed{ \green{x = 12}}}}

option (C)

8 0
3 years ago
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