All categories

2 years ago

What is the circumference of a circle with a radius of 20 units

Mathematics

1 answer:

Kaylis [27]2 years ago

5 0

Answer:

125.66

Step-by-step explanation:

C = 2πr = 2·π·20 = 125.66371

You might be interested in

Ben bought the enormous box of juice shown below. He drinks 450 cubic centimeters of juice each day.

Sophie [7]

7 days to drink box of juice

4 0

3 years ago

Read 2 more answers

Amount $100,000

sergey [27]

Answer:

1) Repaid for the loan = $239,511.60

2) Percentage = 58.2%

3) Average amount = $387.53

Step-by-step explanation:

Given :

Amount $100,000

Rate 7%

Payments 360 - $665.31

Total interest $139,511.60

To find :

1) How much will be repaid for this loan?

Repaid for the loan = Amount - Total interest

Repaid for the loan = 100,000 + 139,511.60

Repaid for the loan = $239,511.60

2) What percentage will be repaid for this loan?

$\text{Percentage}=\frac{\text{Total interest}}{\text{Repaid loan}}\times100$

$\text{Percentage}=\frac{139511.60}{239511.60}\times100$

$\text{Percentage}=0.582\times100$

$\text{Percentage}=58.2\%$

3) What will be the average amount per payment for interest?

$\text{Average amount}=\frac{\text{Total interest}}{\text{Payments}}$

$\text{Average amount}=\frac{\text{139511.60}}{\text{360}}$

$\text{Average amount}=387.53$

4 0

3 years ago

triangle ABC was rotated 90 degrees clockwise. Then it underwent a dialtion centered at the origin with a scale factor of 4 what

scoray [572]

Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

Step-by-step explanation:

Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.

A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.

Also, the corresponding angles of similar triangles are congruent.

Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

4 0

2 years ago

A bicycle lock has a four-digit code. The possible digits, 0 What is the probability that the lock code will begin with

nika2105 [10]

Answer:

0.1-0.6

Step-by-step explanation:

First let's find the number of the elements in the sample space, that is the total number of codes that can be produced.

The first digit is any of {0, 1, 2...,9}, that is 10 possibilities

the second digit is any of the remaining 9, after having picked one.

and so on...

so in total there are 10*9*8*7 = 5040 codes.

a. What is the probability that the lock code will begin with 5?

Lets fix the first number as 5. Then there are 9 possibilities for the second digit, 8 for the third on and 7 for the last digit.

Thus, there are 1*9*8*7=504 codes which start with 5.

P(first digit is five)=

b. What is the probability that the lock code will not contain the number 0?

from the set {0, 1, 2...., } we exclude 0, and we are left with {1, 2, ...9}

from which we can form in total 9*8*7*6 codes which do not contain 0.

P(codes without 0)=n(codes without 0)/n(all codes)=(9*8*7*6)/(10*9*8*7)=6/10=0.6

Answer:

0.1 ; 0.6

8 0

2 years ago

Read 2 more answers

In October sally drove 560 miles in her car.

torisob [31]

The cost is £79.76. Since the car covers 560 miles and 34.5 miles is travelled by one gallon. So, dividing 560 by 34.5 we get 16.23. Since 1 gallon is 4.55 litres, 16.23 gallons is 73.8465. Now the cost of petrol is £1.08 per litre. So, multiplying 73.8465 by £1.08 we have £79.76

4 0

3 years ago