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3 years ago

15

A bakery makes 260 donuts in 4 hours. At this rate, how many donuts can they make in 6 hours?

1 answer:

RSB [31]3 years ago

8 0

Answer:

390

Step-by-step explanation:

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A cone has a radius of 8 inches and a height of 12 inches.What is the exact volume of the cone?

Cerrena [4.2K]

$The\ volume\ of\ the\ cone:V=\frac{1}{3}\pi r^2H\\\\where\\r-radius\\H-height\\----------------\\\\r=8\ in\ and\ H=12\ in\\\\therefore\\\\V=\frac{1}3{\pi\cdot8^2\cdot12=\frac{1}{\not3_1}\cdot\frac{\not12^4}{1}\cdot64\pi=4\cdot64\pi=\boxed{256\pi\ (in^3)}$

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3 years ago

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(20 points)Solve the equation cos x = sin (x + 22)

Law Incorporation [45]

Answer:

$\bold{x = 34^\circ}$

Step-by-step explanation:

Given:

$cos x = sin (x + 22^\circ)$

To solve:

The given equation.

Solution:

First of all, let us consider an important property of sine and cosine.

$sin(90^\circ-\theta )=cos\theta$

OR

$cos(90^\circ-\theta )=sin\theta$

We can apply above property to solve for $x$ as per given equation.

$cos x = sin (x + 22^\circ)$

Changing $cosx$ to sine form:

$cosx=sin(90^\circ-x)$

$cosx=sin(90^\circ-x) = sin(x+22^\circ)$

$\therefore 90^\circ-x=x+22^\circ\\\Rightarrow 90^\circ-22^\circ=x+x\\\Rightarrow 2x=68^\circ\\\Rightarrow \bold{x = 34^\circ}$

So, solution to the equation $cos x = sin (x + 22^\circ)$ is:

$\bold{x = 34^\circ}$

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3 years ago

Which statement about the ordered pairs(-3, -3), (0,-3)and(3,-3) is not true?

Anuta_ua [19.1K]

The one that is wrong is. C. If all the x’s are different it is a function

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The length of a rectangle is three times it's width. The perimeter of the rectangle is 100 inches. What are the dimensions of th

Pavel [41]

Answer:

Dimensions : 37.5 * 12.5

length : 37.5

width : 12.5

Step-by-step explanation:

let x = length and y = width

x = 3y based on info from problem

Perimeter = 2(length + width)

100 = 2(x + y)

substitute 3y for x

100 = 2(3y + y)

100 = 2(4y)

100 = 8y

y = 12.5

x = 3(12.5) = 37.5

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3 years ago

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Shay makes 24 liters of homemade vegetable stock. She distributes the stock

ANTONII [103]

Answer:

3 liters

Step-by-step explanation:

pretty simple first grade question, 24/8

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