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shtirl [24]
3 years ago
6

The function f(t) = 5 cos(pi over 6t) + 7 represents the tide in Stanley Sea. It has a maximum of 12 feet when time (t) is 0 and

a minimum of 2 feet. The sea repeats this cycle every 12 hours. After four hours, how high is the tide?
11.3 feet


9.5 feet


4.5 feet


2.6 feet

Mathematics
2 answers:
Aliun [14]3 years ago
7 0

Answer:

the answer to this question would be 4.5

Juliette [100K]3 years ago
4 0
The function for the height is
f(t) = 5cos( \frac{ \pi }{6} t)+7

f(0) = 5 cos(0) + 7 = 5 + 7 = 12  (verified)
The period is T  = 12 hours.

After 4 hours (t = 4), the height is
f(4) = 5cos( \frac{ 4\pi }{6} )+7 = 5*(-0.5)+7=4.5

A graph of f(t) confirms the answer.

Answer: 4.5 ft

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Parker is laying pavers to build a patio in his backyard. Each square paver measures 2 feet on each side. He would like the pati
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Answer:

32 pavers

Step-by-step explanation:

step 1

Find out the area of one square paver

The area of a square is

A=s^{2}

where

s is the length side of the square

we have

s=2\ ft

substitute

A=2^{2}\\A=4\ ft^{2}

step 2

Find out the area of the rectangular patio

we know that

The area of a rectangle is

A=LW

we have

L=16\ ft\\W=8\ ft

substitute

A=(16)(8)\\A=128\ ft^2

step 3

Find out the number of pavers needed to build the patio

Divide the area of the rectangular patio by the area of one paver

128\ ft^2/4\ ft^{2}=32\ pavers

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Points C, A, and B are collinear. Which of the following options is another name for CA ?
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A farmer has 64 feet of fence to enclose a rectangular vegetable garden. which dimensions would result in the biggest area for t
Blababa [14]
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
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