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Wewaii [24]
3 years ago
13

Given two circles whose radii are 5" and 15", the ratio of their areas is

Mathematics
1 answer:
Serhud [2]3 years ago
6 0

Answer:

The answer to your question is ratio = 9

Step-by-step explanation:

Data

Circle 1 radius = 5''

Circle 2 radius = 15''

Process

1.- Calculate the area of circle 1

Area = πr²

Area = π(5)²

Area = 25π

2.- Calculate the area of circle 2

Area = πr²

Area = π(15)²

Area = 225π

3.- Calculate the ratio of the areas

ratio = 225π / 25π  

       = 9

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Two consecutive odd integers whose sum is 76.
ollegr [7]

Answer:

37 and 39

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If angle 4 is 52.7, what are the measures of angles 1,2, and 3? ​
shusha [124]

Answer:

  1. 127.3
  2. 52.7
  3. 127.3
  4. 52.7

Step-by-step explanation:

Since we know the angle measure of angle 4, we already know that angle 2 will have the same measure according to do the vertical angle theorem. Now to find angles 1 and 3, we can make an equation and solve for x (supplementary angles).

52.7 + x = 180

x = 127.3

Best of Luck!

6 0
2 years ago
What is the value of x in the equation 2(2x - 5 - 4) = 160 - 17?
sukhopar [10]

Answer: The value of x is 40.25

6 0
3 years ago
Over the last three evenings, Donna received a total of 129 phone calls at the call center. The third evening, she received 3 ti
lakkis [162]

Answer:

Number of calls received in 1st evening = 24

Number of calls received in 2nd evening = 33

Number of calls received in 3rd evening = 72

Step-by-step explanation:

Let

number of calls received in first evening be "x"

number of calls received in 2nd evening be "y"

number of calls received in 3rd evening be "z"

Total, in 3 evenings, we have 129 phone calls, so we can write:

x + y + z = 129

3rd evening, 3 times as first evening. We can write:

z = 3x

2nd evening, 9 MORE THAN FIRST. So we can write:

y = 9 + x

Now we replace 2nd and 3rd equation in 1st equation to get:

x + y + z = 129

x + 9 + x + 3x = 129

Now, first, we solve for x:

x + 9 + x + 3x = 129\\5x+9=129\\5x=120\\x=24

Solving for y:

y = 9 + x

y = 9 + 24

y = 33

Solving for z:

z = 3x

z = 3(24)

z = 72

Thus,

Number of calls received in 1st evening = 24

Number of calls received in 2nd evening = 33

Number of calls received in 3rd evening = 72

5 0
3 years ago
A ray is a defined term because it
m_a_m_a [10]

Answer:

Option D is correct.

Step-by-step explanation:

Given that

A ray is a defined term we have to give the reason of the above statement.

A ray is a line or a part of a line that has one endpoint which we defined and other goes on infinitely in only one direction.

One of the example is a sun's ray of light in space. Light from the sun originates and travels from the sun, and its path extends infinitely.\

Hence, we say that "A ray is a defined term because it travels forever in one direction"

Option D is correct.

3 0
3 years ago
Read 2 more answers
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