1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ehidna [41]
2 years ago
11

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

Mathematics
1 answer:
REY [17]2 years ago
8 0

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

You might be interested in
Solve for x. Round to the nearest tenth, if necessary.
e-lub [12.9K]

Answer:

\boxed {\boxed {\sf x \approx 1.9}}

Step-by-step explanation:

We are asked to find x, a missing side in a triangle.

This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

  • sinθ= opposite/hypotenuse
  • cosθ= adjacent/hypotenuse
  • tanθ= opposite/adjacent

Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is <u>opposite</u> angle S. Side QS, measuring 2.3, is the <u>hypotenuse</u> because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

sin \theta = \frac {opposite}{hypotenuse}

  • θ= 54
  • opposite= x
  • hypotenuse = 2.3

sin (54)= \frac{ x}{2.3}

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

2.3* sin (54)= \frac{x}{2.3}*2.3

2.3* sin (54)=x

2.3*0.8090169944=x

1.860739087 =x

Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.

1.9 \approx x

x is approximately <u>1.9</u>

7 0
3 years ago
Triangle formula of a trianlge
adelina 88 [10]

Answer:

Formula for a triangle is 1/2bh

Step-by-step explanation:

B is for base and h is for height

5 0
2 years ago
Read 2 more answers
What pattern do you notice in a fraction that is equivalent to 1 whole?
Alex17521 [72]
The denominator is the same as the numerator 
5 0
3 years ago
Can someone please help me out
amm1812

I believe it’s b

It is the one in between and closest to the amount that you need

8 0
3 years ago
Read 2 more answers
HELP ME PLS One table at a bake sale has 150 mini cupcakes. Another table has 180 mini cookies. Wich table allows more square ar
Lubov Fominskaja [6]

Answer:  step by step equations

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • HELP ME PLEASE!!!!
    9·1 answer
  • Volume of a pyramid height of 24ft base of 16ft
    10·2 answers
  • Dave's dog is 1 decade and 2 years 9months 3days old Dave is half as old as his dog how old is dave​
    15·2 answers
  • It cost $1.25 for half a pound of birdseed . What is the unit rate and what does it represent
    13·1 answer
  • For each of the incorrect dot plots, describe what is wrong
    15·1 answer
  • What is the value of c so that y=x^2+15x+c is a perfect square.
    5·2 answers
  • Please help with this
    12·1 answer
  • The ratio of ages of kissi and esinam is 3:5 and esinam is 3:5 The sum of ages of all 3 is 147 years.whats the age difference be
    11·1 answer
  • Write two expressions that are equivalent to the expression below.<br> (9-0) + (9-c) + (9-c) + (9-C)
    9·1 answer
  • When a figure is translated on the coordinate plane you should add or subtract x and y? Is this statement true or false?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!