Mathematics High School

What is the radius of a circle whose area is equal to the sum of the areas of two circles whose radii are 20cm & 21cm?

Answers

Answer 1

Answer:

29

Step-by-step explanation:

20^2 times 3.14= 1256

21^2 times 3.14= 1384.74

the sum of those two is 2640.74

the square root of that is 29

Answer 2

The radius of the circle is 29 cm.

We have the circle whose area is equal to the sum of the areas of two circles whose radii are 20cm & 21cm.

We have to find the radius of the circle.

Suppose you have to find the radius of a circle whose area is equal to the sum of the areas of two circles whose radii are r and R. How will you approach it?

Let the radius of the circle be x.

We know that the area of the circle is [tex]\pi r^{2}[/tex]. Then -

[tex]\pi x^{2} =\pi r^{2} +\pi R^{2} \\x=\sqrt{r^{2} + R^{2}} \\[/tex]

Now, in the question given to us -

r = 20cm  and R = 21cm  and 'x' denotes the radius of the circle we have to find.

Substituting the values in the above formula, we get -

x = [tex]\sqrt{400+441}[/tex]

x =29 cm

Hence, the radius of the circle is 29 cm.

To solve more problems on finding the area of circle, visit the link below -

https://brainly.com/question/16969543?referrer=searchResults

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Related Questions

hi i need help with something, tysm

Answers

Answer:

Step-by-step explanation:

y=-3/2x+5

evaluate x+16, when x=8

Answers

Answer:

24

Step-by-step explanation:

x + 16

8 + 16

= 24

You just plug in 8 in the x place. Hope this helps, thank you !!

The sum of one half and one third, halved
5th grade explation

Answers

5/6, five sixths is the answer

Moms car is 180 inches long. Dads truck is 75% longer than moms car. How long is the truck?

Answers

The answer is 315 inches

Bc 180 times .75= 135

135 + 180 =315

can someone help with my math questions on my page/account?

Answers

Answer:

yepp

Step-by-step explanation:

okkkkkkkkkkkkkkk

Juan and Rob are selling cookie dough for a school fundraiser. Juan has ttt cookie dough orders, and Rob has 404040 cookie dough orders. They have a total of 757575 cookie dough orders all together.
Write an equation to describe this situation.
How many cookie dough orders does Juan have?

Answers

Juan has 35(t) cookie dough orders.

75(Overall) - 40(Rob's) = 35(Juan's)

Answer:

35

Step-by-step explanation:

t+40=75

Which symbol correctly compares the mixed numbers?

Answers

Answer:

a is the answer

Step-by-step explanation:

there not equal

Third times the charm. I really forgot to add the attachment when i asked this q the second time. Ples show work

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Answer:

I really have no clue

Step-by-step explanation:

comment to this answer with the answer

I WILL GIVE BRAINLIEST AND 80 POINTS IF YOU GET IT RIGHT

Answers

Answer:nice!

Step-by-step explanation:

sorry for blur but please help

Answers

Answer:

0 => -5

1 => -3

2 => 3

3 => 13

Step-by-step explanation:

No worries! To fill the table, we need to take the x values and insert them for the f(x) value.

The equation we're given is

f(x)=2x²-5

Starting with 0, we have

2(0)²-5

0²-5

0-5

-5

If we repeat for the rest of the values, we get the f(x) values listed above.

Answer: 0= -5 1=-3 2=3 3= 13

To answer this for every Number there is for x you have to plug it in

2(0)^2 -5
2(0)-5
0-5
=-5


2(1)^1-5
2(1x1)-5
2-5
=-3

Hope this helped!!

Triple the sum of 33 and 27

Answers

33 + 27 = 60
60 x 3 = 180

Calculate the volume of this prism.
4 cm
10 cm
5 cm
8 cm
12 cm

Answers




Step-by-step explanation:
Separate into two shapes with
then use fomula length * width * height
shape 1: 7*8*10=560cm^3
Shpe 2: 5*8*6 =240cm^3
Add the two shapes 560+240=800cm^3

please help solve this problem ​

Answers

Answer:

answer iss ( -2 , 0 )

Step-by-step explanation:

A 150​-gram bag of berries is a mixture of raspberries and blueberries. If ​80% of the bag is​ raspberries, how many grams of blueberries are in a​ bag?

Answers

Answer:

30g

Step-by-step explanation:

Since the bag is a total of 150 grams...

100% = 150

1% = 150 ÷ 100 = 1.5

Find out 80% of the bag which is finding out how many raspberries there are in the bag.

80% = 1.5 x 80 = 120

The remaining in the bag out of the raspberries is the berries.

150 - 120 = 30 (berries)

5(x + 9) + 53 = 14 − 6x

Answers

Answer:

x = -84/11

Step-by-step explanation:

Hope it's right

In the figure at the right what is m < 1 if m < 3= 70 degrees

Answers

○=> Correct option :

[tex]\color{plum}\tt\bold{(D) \: 70}[/tex]

○=> Steps to derive correct option :

Angle 1 and angle 3 are vertically opposite angles.

We know that :

▪︎ Vertically opposite angles are always equal.

Which means :

Angle 1 = Angle 3

Thus, the measure of angle 3 = 70°

▪︎Therefore, the correct option is (D) 70

PLEASE HELP ME WITH THIS ILL GIVE U BRAINLEST

Answers

Answer:

y=-2/5x+5

Step-by-step explanation:

NEED HELP ASAP!!!
Which of the following points does not
represent a solution to 55x + 95y s 2500?
A (5,,23)
B (16, 17)
C (21, 14)
D (27, 11)

Answers

A

sorry if its wrong looks reasonable

Please help due today

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

Less likely if Serena changes the 3 to a 6.

Step-by-step explanation:

You have a 1, 2, 4, and 6 now. You have 3 even numbers and one odd number, therefore, it is less likely.


Find the slope of the line graphed below.

Answers

Answer:

-4/3

Step-by-step explanation:

Goes right 4 times and then down 3

What is 35^1/3 in the simplest radical form

Answers

The answer would be approximately 3.27

HI PLS HELP i dont understand my hw whats the answer?

Answers

no that is not a function because 0 has more than one output

Write a function in terms of t that represents the situation.
An item costs $4.50, and its price increases by 3.5%
each year.

Answers

Answer:

4.5(1.035)^t

Step-by-step explanation:

An inrease of 3.5% means that each year's total is 103.5% of the year before, right?

Year 1 = 4.5(1.035) = 4.66

Year 2 = 4.66(1.035) = 4.82

etc.

So, year 2 is 4.5(1.035)(1.035) = 4.82

Multiplying something by itself can be written with an exponent instead, so 2 years is...

4.5(1.035)2

Since the number of years is the variable (let's call it t)...

Which quotient is equivalent to the mixed number
2
2
3
?

A.
3
÷
7
B.
7
÷
3
C.
3
÷
8
D.
8
÷
3

Answers

Answer:

a 3/7

Step-by-step explanation:

Answer:

8 divided by 3

Step-by-step explanation:

i had the same question

i’ll click the heart please help

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Answer:

The answer is just 4

Step-by-step explanation:

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the answers is 4..............

Factor the following polynomial
m3 - m2 + 2m - 2
PLEASE HELP ME ASAP with these

Answers

The one in the picture is (2x + 7) (x^2 + 1) The second one is (m - 1) (m^2 + 2)

5. Vernon drew an 8 in, wide by 5 in. tall picture that will be turned into a
48 ft wide billboard. How tall will the billboard be?
ACTICE ORIEM SOLVING​

Answers

Answer:

The billboard should be 30 feet tall

Step-by-step explanation:

Height of the picture = 5 inches

Width of the picture = 8 inches

But the billboard has a width of 48 feet = 12 x 48

                                                             = 576 inches

To know how tall the billboard is, we have to determine the scale factor required.

scale = [tex]\frac{width of billboard}{width of picture}[/tex]

scale = [tex]\frac{576}{8}[/tex]

       = 72

scale = 72

The height of the billboard = scale x 5 inches

                                     = 72 x 5 inches

                                     =  360 inches

Also,

The height of the billboard = [tex]\frac{360}{12}[/tex]

                                             = 30 feet

Therefore, the billboard would be 30 feet tall.

what is value of p=0.5t+1 ?

Answers

Answer:

that value is I'm think it's 6

please help me out here and please get the answers right

Answers

Answer:

1. 9

2. 11

3. 2

4. 4.1

5. 0 if 2/3

6. 15 if it is 5/8 and 16.67 if it is 5/6


SOMEONE PLEASE ANSWER BOTH QUESTIONS ASAP THANKSS

Answers

56 and I can’t see the other one
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