The sum of two circles is 80 pi square meters. Find the length of the radius if one of them is twice as long as the other

Answers

Answer 1

Answer:

Length of Radius of large circle= 8

Lenght radius of first circle= 2

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION

The sum of the areas of two circles is 80π square meters. Find the length of a radius of each circle if one of them is twice as long as the other.

What is the radius of the larger circle?

Area of a circle can be calculated by Below formula

A = πr^2............eqn(1)

Let ( X) = area of first circle

Y= the area of second circle

Rx= radius of first circle

Ry = radius of second circle

From the question, we know that

[X+ Y] = 80π .......eqn(2)

Substitute the radius formula for the area,

[π(Rx)^2 + π (Ry)^2] = 80π ......eqn(3)

But from the question, Radius of second circle is twice of the second one, then

Ry = 2Rx ..........eqn(4)

If we substitute eqn (4) into eqn(3)

[ π(Rx)^2 + π (2Rx)^2 = 80π

If factorize π out, then cancel it out

π[(Rx)^2 + π (2Rx)^2 = 80π

Then we have

(Rx)^2 + 4(Rx)^2 = 80

5(Rx)^2 = 80

(Rx)^2= 80/5

(Rx)^2= 16

(Rx)= 4

From eqn(4)

Ry = 2Rx

Ry= 2(4)

Ry= 8

Rx= 2 and Ry= 8

Hence, radius of first circle= 2

Lenght Radius of second circle= 8


Related Questions

Mike and Julie receive $20,000 in gifts from friends and relatives for their wedding. They deposit the money into an account that pays 2.75% interest, compounded daily.

Will their money double within 10 years?

Will their money double within 15 years?

Answers

Answer:

A= P(1+r/n)^nt

P=20,000

r=2.75%/100=0.0275

n=365

t= 10 and 15

Will their money double within 10 years?

A=20,000(1+0.0275/365)^365t

=20,000(1.00007534)^365(10)

=26,330.340 --> $26,330.34

No

Will their money double within 15 years?

A=20,000(1+0.0275/365)^365t

=20,000(1.00007534)^365(15)

=30,211.321 --> $30,211.32

No

Step-by-step explanation:

ANSWER ASAP PLEASE T~T


You ask 196 of your classmates how they feel about the school year being made longer. Complete the​ two-way frequency table to show the results of the survey. Use pencil and paper. Combine the very unhappy and unhappy categories into one category called dislike and combine the happy and very happy categories into one category called like. Complete a new​ two-way frequency table.

Answers

Answer:

13, 11, 2, 25, 66, 5, 12, 25, 45

Step-by-step explanation:

Right to Left

Number of 6th graders that are very unhappy is 14

Number of 6th graders that are happy is 13

Number of 7th graders that are neutral is 12

Number of 7th graders that are happy is 30

Total number of 7th graders is 80

Number of 8th graders that are very unhappy is 20

Number of 8th graders that are very happy is 2

Number of unhappy students is 59

Number of very happy students is 25

What are the missing values?

Total number of 7th graders = 196 - 50 - 66 = 80

The number of 7th graders that are neutral = 31 - 10 - 9 = 12

The number of 6th graders that are happy = 80 - 13 - 22 - 3 - 12 = 30

The number of 6th graders that are happy = 44 - 1 - 30 = 13

The number of 6th graders that are very unhappy = 66 - 10 - 10 - 19 - 13 =  14.

The number of 8th graders that are very unhappy = 37 - 3 - 14 =  20

Total number of unhappy students = 19 + 22 + 18 = 59

To learn more about addition, please check: https://brainly.com/question/349488

please help ! no links please

Answers

All triangles must have angles that add up to the same amount of degrees, so if the two triangles share one exact point, it is assumed that those angles would be the same. Basically just use the fact that the sides are the same and marked by dashes, and the missing line can be proven with the use of the angles that are in between the point that both share.

Which event has a probability of zero or impossible to happen?
A Tossing a coin and landing on heads.
B Rolling an even number on a dice.
C Rolling a 7 on a 6 sided dice.
D The sun rising in the morning​

Answers

Step-by-step explanation:

C. rolling a 7 on a 6 sided dice

Answer:

The answer is C) Rolling a 7 on a 6 sided dice.

Step-by-step explanation:

Answer choice (A) has a probability of 50%

Answer choice (B) has a probability of 50%

Answer choice (C) has a probability of 0% (There is not a 7 on a six sided dice)

Answer choice (D) has a probability of 100%

Hope this helps:)

Do your thing genius's.

Answers

Answer:

1.  True.

2. True.

3. True.

4. False.

5. True.

Amira has two balls. One ball has a mass of 285 grams, and the other has a mass of 275 grams. What is the difference in the mass of the balls? ​

Answers

Answer:

10

Step-by-step explanation:

the fhdjjfjjfbkcdugfgu

The answer is 10 bro bro

How many different passwords can be made with two letters followed by four digits (with repeat
digits or letters allowed)?

Answers

Answer:

10,000 possible codes

Step-by-step explanation:

Can someone help with this too

Answers

Step-by-step explanation:

13x - 26 °+ 5x +8° = 180° ( being co- interior angle)

13x + 5x - 26 °+ 8° = 180°

18x - 18 = 180°

18x = 180°- 18°

18x = 162°

x= 162° ÷ 18

x= 9°

hope it help

Please solve this!!!!

Answers

Answer:

k=2

Step-by-step explanation:

-8k+6=-10k+10

-8k=-10k+4

2k=4

k=2

Answer: k=−0.2

 

Hope this helps!

find w to find the measure of the exterior angle

Answers

The angle that has nothing in it is going to be 54, leaving x to be 78

x=78 degrees

Number 17 please help 10 points no links pleAse

Answers

Answer:

C

Step-by-step explanation:

Florida is on the 30 mark so its 30 then Alaska is in between 10 and 20 half so half of these numbers is 15 then your going to subtract 30-15 leaving you with 15 and as you can see that answer is presented

3x²+6x+8=6 find the discriminant​

Answers

Answer:

12

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

3x^2+6x+8=6

3x^2+6x+8-6=0

3x^2+6x+2=0

here  a=3 ,b=6,c=2

Discriment=b^2-4ac

  =(6)^2-4(3)(2)

=36-24

=12

Please help! I need help fast.

Answers

Answer:

240 cm^3

Step-by-step explanation:

The solid is composed by two rectangular parallelepipeds. To find the total volume  we have to find the volume of the two solids and added up.

To find the volume of a parallelepiped we have to use this formula:

V = base surface x height

The area of rectangle is : base x width

So:

Area first rectangle: 4 x 6 = 24 cm^2

V = 24 x 7 = 168 cm^3

Area second rectangle: 4 x 2 = 8 cm^2

V = 8 x 9 = 72 cm^3

total volume = 168 + 72 = 240 cm^3

A line segment has an endpoint at (-1, -7). If the midpoint of the line segment is (3, -3), what
are the coordinates of the point at the other end of the line segment?

Answers

wala pong figure yan? meron po ata yan e

The variable k represents a value in the set (-2,-4, -6, -8}.
Which value of k makes 4 (1.5 – k) - 10 = a true statement?
56

Answers

Answer:

Added thanks lol :)

Step-by-step explanation:

You and your friend decide to go to Red Robin to eat. You are both part of the rewards club and receive coupons in the mail. You have a coupon a coupon for 10% off the total bill. Your friend has a coupon for $5 off the total bill. Which coupon should you use to save the most money if the total bill was $29.90? *
A. the $5 off coupon
B. the 10% off coupon
C. either one
D. cannot be determined ​

Answers

Answer:

A. the $5 off coupon

Step-by-step explanation:

10% off would only be 2.99 off the bill making it 26.91 but the $5 would take off more

The coupon I would use to save the most amount of money on the total bill is my friend's coupon worth $5.

Which coupon should I use?

Coupons reduce the price of an item. An item becomes cheaper after a coupon has been used. In order to determine the better coupon, calculate the price after each coupon has been used.

Coupon 1 : 10% x 29.9 = $3

Coupon 2 : 29.90 - $5 = $24.90

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

the average of 5 numbers is 7. when one more number is added the average becomes 10. what number was added?

Answers

Answer:

13

Step-by-step explanation:

for example, Sum of 5 no. = 7×5=35

Sum of 8 no. = 8.5×8=68

Sum of added all three no. = 68 - 35 = 33

average of three new numbers = 33/3=11

The number 25 is added then the average becomes 10.

What is an average?

The average is defined as the ratio of the sum of the data to the total numbers of the data.

Average = ( Sum of the numbers ) / ( number of the data )

Given that the average of 5 numbers is 7. when one more number is added the average becomes 10.

The number added is calculated as:-

Sum of the numbers = 5 x 7 = 35

Let x is the number added.

Sum of the numbers = 35 + x

We know that some of the numbers = 10 x 6

35 + x = 10 x 6

35 + x = 60

x = 60 - 35

x = 25

Hence, the number added is 25.

To know more about the average follow

https://brainly.com/question/8728504

#SPJ2

Calculate the distance between the points E=(-6,8) and N=(-1,5) in the coordinate plane. Give an exact answer (not a decimal approximation).

Answers

Answer:

6 units

Step-by-step explanation:

The formula for calculating the distance between two points is expressed as;

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given the coordinate points  E=(-6,8) and N=(-1,5)

[tex]EN = \sqrt{(5-8)^2+(-1+6)^2}\\EN = \sqrt{(-3)^2+(5)^2}\\EN = \sqrt{9+25}\\EN = \sqrt{34}\\EN = 5.8\\EN \approx 6[/tex]

Hence the distance between the points is approximately 6 units

What is the length of the hypotenuse of the triangle when x=15?

Answers

Answer:

114.24°

Step-by-step explanation:

7(15)+6= 105

3(15)= 45, now we plug it in the formula, [tex]a^{2}+b^{2}=c^{2}[/tex]

[tex]105^{2}+45^{2} = 13050[/tex]

so now we square root it

[tex]\sqrt{13050}[/tex]= 114.24

Step-by-step explanation:

111^2 + 45^2 = 14346

then take the square root of 14346

which is 119.77

Find tan A.
A. tanA = 12/5
B. tanA = 5/12
C. tanA = 13/5
D. tanA = 5/13

Answers

Answer:

tanA=BC/AC

BC=20

AC=48

so,BC/AC=20/48=5/12

ABCD is a square with an area of 49 cm2, and BE = 4.95 cm. Point E is the midpoint of 2 diagonal lines crossed inside the square.

Answers

Answer:

I suppose we want to find the side length of the square.

We know that:

The area of the square is 49cm^2

The distance between one of the vertices of the square and the middle of the square is:

BE = 4.95cm

Now let's remember some things.

For a square of side length L, the area is:

A = L^2

and the diagonal length is:

D = √(2)*L

In this case, we know that half of the diagonal is equal to:

BE = 4.95 cm

Then the diagonal is:

D = 2*BE = 2*4.95cm = 9.9cm

And for the diagonal formula, we have:

D =  9.9cm = √(2)*L

Then the side length is:

L = 9.9cm/√(2) = 7cm

And if we check the area of this square, is:

A = L^2 = (7cm)^2 = 49cm^2

So it checks.

Then we can conclude that the sidelength of the square is 7cm, which means that:

AB = 7cm

BC = 7cm

CD = 7cm

DA = 7cm

Classify the polygon by its number of sides. State whether the polygon appears to be regular or not regular it’s has 8 sides

Answers

Answer:

octagon, regular

Step-by-step explanation:

it has eight sides and the side all measure the same amount

I need help pleaseeee
3 • 3

Answers

the question is 3 times 3 so that equals 9

Answer:

9.

Step-by-step explanation:


Select the correct answer from the drop-down menu.
The square root of 125 is between

Answers

Answer:

[tex] \sqrt{125 } \\ = 11.18[/tex]

It is in between 0 to 12.

Answer:

√125 must be between 11 and 12.

Step-by-step explanation:

Identify perfect squares in the neighborhood of 125:  

121 = 11^2      or      √121 = 11

144 = 12^2               √144 = 12

√125 must therefore be between 11 and 12.

I NEED HELP PLZZ HELP ME

Answers

Answer:

A I think is the answer :)

On Wednesday 72% of the costumers who bought gas at a gas station made additional purchases. There were 259 costumers made additional purchase?

Answers

Answer:

360 approx

Step-by-step explanation:

Given data

We want to find the total number of customers that bought gas

Let the total number of customers be x

So

72% of x = 259

let us solve for x

72/100*x= 259

0.72*x=259

x= 259/0.72

x= 359.72

Hence the actual number of customers is 360 approx

Work out the size of angle x

Answers

Answer:

70

Step-by-step explanation:

angles in a triangle= 180

79+35=110

180-110=70

What is the area of these

Answers

Answer:

Step-by-step explanation:

ONLY A MASTERMIND CAN SOLVE
What numbers are:
NATA
u
nde
Blo
NEUE
9
We
Each color is a
different digit
eren​

Answers

Answer:

The number printed in red color = 5

The number printed in silver color = 8

The number printed in blue color = 1

Step-by-step explanation:

P.S - The exact question -

Given - The diagram

To find - The number that represent Red, Silver and Blue color.

Proof -

Let the number printed in red color = r

Let the number printed in silver color = s

Let the number printed in blue color = b

Also,

Given that the equation is -

  b s r

  b s r

+ b s r

= r  r  r

Now,

We have to think of a number that if we add the last digit of the number gives the same last digit.

Bt inspection ,

the number would be 5

Because 5 + 5 + 5 = 15

Lat place of the equation is same

So,

The number printed on red color = 5

⇒r = 5

So, the equation becomes

  b s 5

  b s 5

+ b s 5

= 5  5  5

Now,

We have to think of a number whose last digit add up to 3  + 1 gives the last digit number 5 ( we add 1 because by adding 5 + 5 + 5 , we get 15 so we write the last digit 5 and 1 goes to the remainder and that remainder 1 will add up in the next number addition)(addition rule)

i.e.

s + s + s + 1 = number whose end digit is 5

By inspection,

The number would be 8

because 8 + 8 + 8 + 1 = 25

So,

we get

s = 8

So, the equation becomes

  b  8  5

  b  8  5

+ b  8  5

= 5  5  5

Now,

By same process , we will find the number of blue color

By inspection the number on blue color = 1

∴ we get

The number printed in red color = 5

The number printed in silver color = 8

The number printed in blue color = 1

and the equation is -

  1  8  5

  1  8  5

+ 1  8  5

= 5  5  5

Identify the vertex f(x) = x2 + 16

Answers

vertex is (0,16) hope this helps
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