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fredd [130]
3 years ago
9

The radii of two circles are in the ratio of 3 to 1. Find the area of the smaller circle if the area of the larger circle is 27

pi sq. in.
Mathematics
2 answers:
Naddik [55]3 years ago
8 0
ANSWER
3\pi sq.\: in.

EXPLANATION

Let R be the radius of the bigger circle and r, be the radius of the smaller circle.

Then their ratio is given as,

R:r=3:1

We can rewrite it as fractions to get,

\frac{R}{r} = \frac{3}{1}

We make R the subject to get,

R = 3r

The area of the bigger circle can be found using the formula,

Area=\pi {r}^{2}

This implies that,

Area=\pi ({3r})^{2}

Area=9\pi {r}^{2}

But it was given in the question that, the area of the bigger circle is 27π.

27\pi=9\pi {r}^{2}

We divide through by 9π to get,

3 = {r}^{2}

This means that,
r = \sqrt{3}

The area of the smaller circle is therefore

= \pi {( \sqrt{3}) }^{2}

= 3\pi
ololo11 [35]3 years ago
5 0

Answer:

3(pi)

Step-by-step explanation:


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For each value of u, determine whether it is a solution to 2+9u<-16.
riadik2000 [5.3K]

Answer:

7: no ( the answer will be 65 )

-2 : no ( the answer will be -16 and -16 is not less than -16 instead they're equal)

2 : no ( the answer will be 20 )

-7 : no ( the answer will be -61)

Non of them satisfy the condition

Hope this helped

Hope this helped ALL THE BEST!!

8 0
3 years ago
I need help with both
uranmaximum [27]

Answer:

Part 1: 114,570,685 people

Part 2: The population grew by 2.5% (1,722,862 people)

Step-by-step explanation:  For part 1 you would multiply 100,236,820 by 1.143 because of the fact that your percentage is increasing.  so the 1 before the decimal point stands for 100% of the starting number and the .143 stands for the 14.3% that the population is increasing by.  


Part 2 you would divide 53,594,378 by 55,317,240 to get approximately .975.  .975 shows that 53,594,378 is about 97.5% of 55,317,240.  You then subtract the numbers 100 and 97.5 to get 2.5.  2.5 is the percentage that the population is increasing by.  So, then you could just subtract 55,317,240 and 53,594,378 to get 1,722,862.  This is the amount of people the population increased by.  Then you just put your answer that the population increased.  That it increased by 2.5% and 2.5%= 1,722,862 people

I hope this helps you :)

7 0
3 years ago
A quadrilateral with vertices at A(4, –4), B(4, –16), C(12, –16), and D(12, –4) has been dilated with a center at the origin. Th
erastova [34]
I think the answer is 3, because D(12;-4) and D' is (36;-12). Then 36/12=3, -12/-4=3
(I hope it's true)!!! :)
6 0
3 years ago
Read 2 more answers
what is -172826183618261820172728 + 1526142625615177272827183862782937370282002993030300283883838376266201983837373662. plz i ne
allochka39001 [22]

Answer:

1.52614E81

Step-by-step explanation:

4 0
3 years ago
Can someone please explain?
AlladinOne [14]
<h2>Hello!</h2>

The answer is:

The correct option is the first option:  

y=-4x+64

<h2>Why?</h2>

To write the equation of the line in slope-interception  form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

y=mx+b

Where,

y, is the function

m, is the slope of the line

x, is the variable

b, is the y-axis intercept

We can find the slope using the following formula:

m=\frac{ChangeInY}{ChangeInX}

Which is for this case:

m=\frac{64}{16}=4

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

m=-4

We can find the value of "b" seeing where the line intercepts the y-axis.

As we can see it intercept the y-axis at:  y=64

Then, now that we already know the value of "m" and "b", we can write the equation of the line:

y=mx+b=-4x+64\\y=-4x+64

So, the correct option is the first option:

y=-4x+64

Have a nice day!

4 0
3 years ago
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