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iren [92.7K]
3 years ago
5

Circle Phas a circumference of approximately 75 inches.

Mathematics
2 answers:
Dominik [7]3 years ago
6 0

Answer:

12 inches

First choice

Step-by-step explanation:

Solve using the formula for circumference.

C = 2πr

"C" is the circumference, which we know C = 75 in.

π = 3.14 in this problem.

"r" is the radius, which we are finding.

Substitute the numbers you know for the variables of the formula.

C = 2πr

(75in) = 2(3.14)r

Since we are finding "r", we need to isolate it. If we divide the right side by 2(3.14), it cancels out and "r" will be alone.

\frac{75in}{2*3.14} = \frac{2*3.14*r}{2*3.14}

\frac{75in}{2*3.14} = r

Put the variable on the left side for standard formatting.

r = \frac{75in}{2*3.14}         Now simplify the fraction.

r = \frac{75in}{6.28}      2 times 3.14 is 6.28

r = \frac{75in}{6.28}         Divide the top by the bottom

r = 11.9426752 in              Exact decimal answer

r ≈ 12in              Rounded answer to nearest inch

Valentin [98]3 years ago
3 0

Answer:

12 inches

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

4 0
2 years ago
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Katie gives Maggie half of her pencils. Maggie keeps 5 pencils and gives the rest to Jamil. A. Write an expression for the numbe
Alexandra [31]

Here's what I mean when I write <em>x/</em><em>2</em><em> </em><em>JUST </em><em>IN </em><em>CASE.</em>

а.

Let the total number of pencils be x, then this implies that Maggie received <em>x/</em>2 pencils from Katie. Maggie keeps 5 and give the rest to Jamil, this means

that Jamil receives

<em>x/</em>2-5 pencils.

b. Expression of pencils given to Jamil is: <em>x/</em>2-5

Substitute <em>x</em><em>=</em><em>1</em><em>6</em><em> </em>in this expression: <em>x/</em>2-5

Simplify and evaluate: = 8-5= 3

Maggie gives 3 pencils to Jamil.

c. Expression of pencils given to Jamil is: x/2-5 to

Equate this expression with 1 to form an equation and solve for <em>x</em> all, the total

number of pencils if Jamil received 1 pencil:

<em>x/</em>2 - 5 = 1

Solve for x:

<em>x</em> = 2(1+ 5)

Evaluate:

<em>x</em> = 2(6) = 12

Katie had 12 pencils if Jamil received 1 pencil.

RESULT

a. Expression of number of pencils given to Jamil is <em>x</em>/2-5, where x is total number of pencils.

b. Maggie gives 3 pencils to Jamil.

c. Katie had 12 pencils if Jamil received 1 pencil.

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Answer:

Step-by-step explanation:

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What is the equation of the line that passes through the point (6, 4) and has a slope<br> of -2/3
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2 years ago
which equation represents a line that is parallel to the line whose equation is 3x-2y=7; which equation represents a line parall
aleksley [76]

The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

We have been given a parallel line with has equation

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In order to solve this, the slope of the original line.

3x - 2y = 7

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y = 3/2x - 7/2

thus its slope is 3/2.

thus, the slope of the needed line is 3/2 too.

we know that any line that is parallel to that would have this slope.

So anything is written in the form:

y = 3/2x + b

The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.

Learn more about parallel lines here:

brainly.com/question/13857011

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