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3 years ago

Find the exact area of a circle having the given circumference. 3pi

Mathematics

1 answer:

Inessa [10]3 years ago

5 0

Answer:

A = (9/4)*pi units^2

Step-by-step explanation:

The equation for the circumference of a circle is C = 2*pi*r, where r is the radius. Given that the actual value of the circumference is 3 pi, we equate this 3 pi to 2*pi*r: 3 pi = 2*pi*r.

Dividing both sides of this equation by pi, we get 3 = 2r, so that r = 3/2.

The formula for the area of a circle of radius r is A = pi*r^2.

Here r = 3/2, so the area of this circle is

A = pi*(3/2 units)^2 = pi(9/4) units^2, or A = (9/4)*pi units^2.

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If a = 12 and 120% of a is equal to 80\% of bthen what is a + b ?

Novosadov [1.4K]

Answer:

The answer is 30

Step-by-step explanation:

First you have to find 120% of a (12).

$\frac{12}{1} \times \frac{120}{100} = 14.4$

Therefore; 14.4 is 80% of b, and we are trying to find 100% of b

$14.4 = 80\% \\ x = 100\%$

we do not know what is 100% therefore we call it *x*. In order to find this unknown value *x* we cross multiply.

$14.4 \times 100\% = 80\% \times x$

This is the same as saying;

$14.4 \times 1 = x \times \frac{4}{5}$

100% percent would be 1 because it is the whole number we are trying to find. The 80% would be 4/5. To get 4/5 you can simply break down 80/100 ( this is 80% as a fraction).

so the new equation is: 14.4= 4/5x

We divide both sides by 4/5. Then we will get x tobe equal to 18. Therefore b is 18. We were asked to find (a + b) so. 18+12 = 30

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1 year ago

What is the equation of a line in slope intercept form that passes through the points (-4,3) and (-2,4)

Aleks [24]

Answer:

y=1/2x+5

Step-by-step explanation:

y-y/x-x for slope

4-3/-2-(-4) 1/2

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2 years ago

Read 2 more answers

1. Find the length of X (in the picture) plssss I need help.

Vedmedyk [2.9K]

Step-by-step explanation:

$\frac{5}{4} = \frac{x}{6} \\ 4x = 30 \\ x = 7.5$

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3 years ago

1) P n Q' 2) P' U (Q n R)

vovangra [49]

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2 years ago

If 55% of the students in a certain college are female and there are 1,452 female students, what is the total number of students

Len [333]

Answer:

So 55% of an unknown number is 1452

Let this unknown number be n

Then 55% of n = 1452

We now solve for n

55% × n = 1452

55/100 × n = 1452

0.55 × n = 1452

n = 1452/0.55

n = 2640

Therefore there are 2640 students in the college

8 0

2 years ago