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3 years ago

12 imperial inches equals how many meters

Mathematics

1 answer:

slavikrds [6]3 years ago

4 0

Answer:

12 in = 0.3048 m

Step-by-step explanation:

Coverting calculator

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1..A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 26

statuscvo [17]

Answer:

See below for answers and explanations (along with a graph attached)

Step-by-step explanation:

Part A

The amplitude of a sinusoidal function is half the distance between the maximum and the minimum. It is given to us that the distance from the highest and lowest point is 6 feet, so our amplitude is 6/2 = 3 feet

Part B

The graph's function would be in the form of $y=acos(bx+c)+d$ where $a$ is the amplitude, $\frac{2\pi}{b}$ is the period, $-\frac{c}{b}$ is the phase/horizontal shift, and $d$ is the average/midline.

We already know our amplitude of $a=3$ from part A.

Since our period is given to us as 26 seconds, then we can use the equation $\frac{2\pi}{b}=26$ to find $b$ , which happens to be $b=\frac{\pi}{13}$ .

Since the cosine function starts at its maximum and we want it to start at the average where the bottle travels up, we would need to use the cofunction identity $sin(x)=cos(x-\frac{\pi}{2})$ which shifts the cosine graph $\frac{\pi}{2}$ units to the right. This means that $c=-\frac{\pi}{2}$ , making our phase shift $-\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{13}}=6.5$ , or 6.5 feet to the right

Our average/midline would be $d=12$ as given as the average height by the problem.

Therefore, the function is $f(x)=3cos(\frac{\pi}{13}x-\frac{\pi}{2})+12$

Part C

Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).

5 0

2 years ago

Read 2 more answers

the bill for dinner was $150 if Romy paid in entire Bill and left 20% tip how much did Romy make pay in all

navik [9.2K]

Hello!

First, you'll need to find 20% of 150. You can do this by converting 20% into a decimal. To do so, you'll need to move the decimal place twice to the left to get 0.20. Now you'll need to multiply 150 by 0.20. Once you've done that, you should get $30. Now to find how much Romy paid in total, you'll need to add $30 to $150.

Romy in total payed $180 for the bill

I hope this helps!

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3 years ago

The longer leg of 30°-60°-90° triangle is 16√3. how long is the shorter leg?

sertanlavr [38]

Length of the shortest leg is 8 \sqrt{3} units

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3 years ago

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Would you classify 196 as a perfect square, perfect cube, both, or neither?

Olegator [25]

196 is a perfect square

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