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2 years ago

The circumference of a circle is 6 inches. What is the area of the circle?

Mathematics

2 answers:

avanturin [10]2 years ago

6 0

Answer:

Step-by-step explanation:

2πr = 6, r = 3/π

πr² = π(3/π)² = 9/π in.²

Lubov Fominskaja [6]2 years ago

3 0

Answer:

(B) 9π in²

Step-by-step explanation:

I’m going to assume that by 6 inches you meant 6π inches.

If the circumference of a circle is 6π inches, then it’s radius will be half of 6 (because the circumference of a circle is $2\pi r$ ).

$6\div2=3$

So the radius is 3.

Now that we know the radius, we can find the area by using the equation $\pi r^2$ .

$\pi 3^2\\\pi9\\9\pi$

Hope this helped!

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Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:

mars1129 [50]

Answer:

A = (x + 15)(x + 10) − 5

Step-by-step explanation:

(x+15)(x+10)-5=A would be a solution

To make this easier, let's assign x a value. Let's say 3.

(3+15)(3+10)-5=A

(18)(13)-5=A

234-5=A

A=229

Now with this, we put x in the answer choice and the answer that gives an area of 229 is correct.

A. A=(3+20)(3+10)+12=(23)(13)+12=299+12=311 Answer A is wrong.

B. A=(3+20)(3+10)-12=(23)(13)-12=299-12=287 Answer B is wrong.

C. A=(3+26)(3+15)=(29)(18)=522 Answer C is wrong.

D. A=(3+14)(3+8)=(17)(11)=187 Answer D is wrong.

It's either I'm wrong or the answer choices are wrong.

New answer choices!

A. A=(3+20)(3+11)

=(23)(14)=322 Answer A is wrong.

B. A=(3+15)(3+10)+5

=(18)(13)+5=234+5=239 Answer B is wrong.

C. A=(3+15)(3+10)−5

=(18)(13)-5=234-5=229 Answer C is correct.

D. A=(3+9)(3+10)=(12)(13)=156 Answer D is wrong.

5 0

3 years ago

Fiona and her friends went to a smoothie shop. They ordered three strawberry smoothies and two protein shakes for a total of $24

yulyashka [42]

5.25 dollars for the protein shake and 4.5 for the strawberry smoothies

5 0

3 years ago

Read 2 more answers

Which equation represents the line that passes through (-6, 7) and (-3, 6)?

Degger [83]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

$(x_ {1}, y_ {1}): (- 6,7)\\(x_ {2}, y_ {2}): (- 3,6)$

We find the slope of the line:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {6-7} {- 3 - (- 6)} = \frac {-1} {-3 + 6} = \frac {-1} {3} = -\frac {1} {3}$

Thus, the equation of the line is of the form:

$y = - \frac {1} {3} x + b$

We substitute one of the points and find b:

$6 = - \frac {1} {3} (- 3) + b\\6 = 1 + b\\b = 5$

Finally, the equation is:

$y = - \frac {1} {3} x + 5$

Answer:

$y = - \frac {1} {3} x + 5$

8 0

3 years ago

Jeff uses the expression 2(3b + 1) to determine how many books (b) he needs to order for his store. If b = 12, how many books sh

kari74 [83]

Answer:

Step-by-step explanation:

you write 12 instead of b

4 0

3 years ago

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X=7^y how can you rewrite this equation in y = form ?

Anuta_ua [19.1K]

Answer:

y = lnx / ln 7.

Step-by-step explanation:

x = 7^y

Take logarithms of both sides:

ln x = ln 7^y

ln x = y ln 7 ( because ln a^b = b ln a. One of the Laws of Logarithms).

y = lnx / ln 7.

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2 years ago