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3 years ago

5

A restaurant buys a freezer on the shape of a of a rectangular prism.the dimensions of the freezer are shown. What is the volume

of the freezer? 36 inches 25.5 in and 72.5 inches

1 answer:

pickupchik [31]3 years ago

8 0

66555 is the volume of the refrigerator

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Convert the following sum into a product. cosx + cos3x + cos5x + cos7x

kvv77 [185]

Answer:

$4\cos x\cos (4x)\cos (2x)$

Step-by-step explanation:

Given: $cosx + cos3x + cos5x + cos7x$

To convert: the given sum into product

Solution:

Use formula: $\cos A+\cos B=2\cos \left ( \frac{A+B}{2} \right )\cos \left ( \frac{A-B}{2} \right )$

$cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos (2x)\cos (-x)+2\cos (6x)\cos (-x)\\=2\cos (2x)\cos (x)+2\cos (6x)\cos (x)\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ]$

$cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ]\\=2\cos x\left [2 \cos \left ( \frac{2x+6x}{2} \right )\cos \left ( \frac{2x-6x}{2} \right ) \right ]\\=2\cos x\left [ 2\cos (4x) \cos (-2x) \right ]\\=4\cos x\cos (4x)\cos (2x)$

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3 years ago

Classify each polynomial based on the number of terms it contains.

pantera1 [17]

Answer:

the picture is blurry

Step-by-step explanation:

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3 years ago

A square countertop has a side length of 28 inches. Find the perimeter and area of the countertopusong the correct number of sig

iren [92.7K]

Perimeter is 14
area is 4

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3 years ago

Read 2 more answers

Margo borrows $1900, agreeing to pay it back with 6% annual interest after 13 months. How much interest will she pay?

Colt1911 [192]

$127.68 interest. $2027.68 total amount.

7 0

3 years ago

Explain and find the instantaneous velocity for s(t) = -3 - 7t when t = 5 seconds using the limit of the difference quotient.

Taya2010 [7]

Answer:

-7 m/s

Step-by-step explanation:

The limit of the difference quotient is used to find the slope passing through two point. It is gotten by taking the limit as h approaches zero. It is given by:

$\frac{f(x+h)-f(x)}{h}$

Given that:

The function s(t) = -3 - 7t

$s(t+h)=-3-7(t+h)=-2-7t-7h$ .

Using the limit of the difference quotient formula:

$Limit\ of\ difference= \lim_{h \to 0} \frac{s(t+h)-s(t)}{h}=\lim_{h \to 0}\frac{-3-7t-7h-(-3-7t)}{h}= \lim_{h \to 0}\frac{-3-7t-7h+3+7t)}{h}$

$Limit\ of\ difference= \lim_{h \to 0}\frac{-7h}{h}= -7.\\Therefore\ instantaneous\ velocity=-7\\at\ t=5\\instantaneous\ velocity=-7\ m/s$

3 0

3 years ago