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Afina-wow [57]
3 years ago
11

I need help with this question fast!!

Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0

Answer: 36 square centimeters

Step-by-step explanation: Hey there! Let's cut the shape in half horizontally. 6 times 4 for the top portion is 24 square centimeters. We subtract 6 cm from the top by 2 cm from the lower part to get the length of the bottom rectangle. We do 4 times 3 for the area of the bottom rectangle which is 12 square centimeters. Finally, we add 24 sq cm and 12 sq cm to get 36 square centimeters. (I tried my best!)

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The Hudson Bay tides vary between 3 feet and 9 feet. The tide is at its lowest point when time (t) is 0 and completes a full cyc
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Answer:

y(t)= 6-3cos(\dfrac{2\pi}{14}t )

Step-by-step explanation:

The function that could model this periodic phenomenon will be of the form

y(t) = y_0+Acos(wt)

The tide varies between 3ft and 9ft, which means its amplitude A is

A =\dfrac{(9-3)ft}{2} \\\\\boxed{A = 3ft}

and its midline y_0 is

y_o=3+3 \\\\\boxed{y_o= 6ft}.

Furthermore, since at t=0 the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is -cos(\omega t).

The period of the full cycle is 14 hours, which means

\omega t =2\pi

\omega (t+14)= 4\pi

giving us

\boxed{\omega = \dfrac{2\pi}{14}.}

With all of the values of the variables in place, the function modeling the situation now becomes

\boxed{y(t)= 6-3cos(\dfrac{2\pi}{14}t ).}

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