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Nuetrik [128]
3 years ago
15

A circular swimming pool is installed in a rectangular shaped backyard. An underwater light is placed as its center, 16 feet fro

m the edge of the swimming pool.
Mathematics
1 answer:
Daniel [21]3 years ago
8 0
What is the question?
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Maria's height while jumping on a a trampoline can be modeled by the equation h=-16t^2+18t+5. Where t=time in seconds and h=heig
Vadim26 [7]

Answer:

10.06 ft

Step-by-step explanation:

Maria's maximum height will occur when her velocity reaches zero (0). This means that she has stopped ascending and is about to begin descent.

The equation for the height reached by Maria on the trampoline is given as:

h=-16t^2+18t+5

To find her maximum height, we first have to find the time it will take her to get to that height and corresponding velocity (zero).

Her velocity can be found by differentiating her height i.e. dh/dt:

v = \frac{dh}{dt} = -32t + 18

Therefore, when v = 0:

0 = -32t+ 18\\\\=> 32t= 18\\\\t = 18 / 32 = 0.5625 secs

It takes her 0.5625 seconds to get to her maximum height.

Therefore, her height at that time (0.5625 seconds) is:

h=-16(0.5625)^2+18(0.5625)+5\\\\h = -16 * (0.3164) + 10.125+5\\\\h = -5.0624 + 15.125\\\\h = 10.06 ft

Therefore, her maximum height is 10.06 ft.

3 0
3 years ago
Will give brainliest! Please explain how I solve the ratio 16/32=12/24
goldenfox [79]

To solve, simply simplify each fraction

(16/32)/(16/16) = 1/2

(12/24)/(12/12) = 1/2

True, the equation given to us is true.

hope this helps

8 0
3 years ago
Read 2 more answers
Please help I'll give brainliest
Hoochie [10]
You have to multiply by how many months or boxes and your gonna have 360 and your friend 288
5 0
3 years ago
Can someone explain how to do this and the answer?
inysia [295]

Step-by-step explanation:

Helo

your answer refer to the attachment

7 0
3 years ago
Find the values forX, Y, and Z so that all the following statements are true.
kvasek [131]

Answer:

x = -36, y = 6, z = -6

Step-by-step explanation:

The requirement x/z = -z means x = -z².

The requirement x/y = z means x = yz.

These two requirements together mean yz = -z², or y = -z.

The requirements that z/2 and z/3 are integers mean that z is a multiple of 2·3 = 6. The smallest magnitude non-zero multiple is z=-6 (since we also require z < -z).

Using z=-6, we have x = -z² = -36; y = -(-6) = 6.

For some positive integer n, ...

... x = -36n², y = 6n, z = -6n.

8 0
3 years ago
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