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Vladimir79 [104]
3 years ago
8

How do you find the area of a circle that has a radius of 4

Mathematics
2 answers:
Lisa [10]3 years ago
8 0

Work is provided in the image attached.

Although you did not include units, I just used centimeters.

However, if there were no units, then just put your answer.

If you do not understand my work,

please ask me in the comments below.

romanna [79]3 years ago
6 0

Answer: Area of the circle will be

50.288

Step-by-step explanation:

Area of a circle is calculated by A=πr^2

Where r is the radius, given as 4

π is a mathematical constant of 3.143

Slot the values into the formula:

A = 3.143 x 4^2

A = 3.143 x 16

A = 50.288

You might be interested in
How many<br>weeks are there in 81 days​
natima [27]

Answer: At least 8

Reason: A week has 7 days in it, so when you divide 81 by 7, you get 7.5, so when you round it, you get the number 8

<u><em>If you have any questions, corrections, or problems, let me know. I hope this helped</em></u>

4 0
2 years ago
John wants to make a 100 ml of 6% alcohol solution mixing a quantity of a 3% alcohol solution with an 8% alcohol solution. What
mart [117]

Answer:

-50 ml of 3% alcohol solution and 150 ml of 8% alcohol solution

Step-by-step explanation:

For us to solve this type of mixture problem, we must represent the problem in equations. This will be possible by interpreting the question.

Let the original volume of the first alcohol solution be represented with x.

The quantity of the first alcohol solution needed for the mixture is 3% of x

                   ⇒ \frac{3}{100} * x

                       = 0.03x

Let the original volume of the second alcohol solution be represented with y.

The quantity of the second alcohol solution needed for the mixture is 5% of y

                   ⇒ \frac{5}{100} * y

                       = 0.05y

The final mixture of alcohol solution is 6% of 100 ml

                 ⇒ \frac{6}{100} * 100 ml

                       = 6 ml

Sum of values of two alcohol solutions = Value of the final mixture

                     0.03x + 0.05y = 6 ml               ..........(1)

Sum of original quantity of each alcohol solution = Original volume of the of mixture

                     x + y = 100 ml                          ..........(2)      

For easy interpretation, I will be setting up a table to capture all information given in the question.

Component                       Unit Value      Quantity(ml)       Value

3% of Alcohol solution        0.03                 x                     0.03x

8% of Alcohol solution        0.08                 y                     0.08y

Mixture of 100ml of 6%        0.06               100                       6    

                                                                x + y = 100       0.03x + 0.08y =6

Looking at the equations we derived, we have two unknowns in two equations which is a simultaneous equation.

                                0.03x + 0.05y = 6 ml               ..........(1)

                                x + y = 100 ml                           ..........(2)    

Using substitution method to solve the simultaneous equation.

Making x the subject of formula from equation (2), we have,

                                x  = 100 - y                                 ..........(3)

Substituting  x  = 100 - y from equation (3) into equation (1)

                               0.03(100 - y) + 0.05y = 6  

                               3 - 0.03y + 0.05y = 6  

Rearranging the equation,            

                               0.05y - 0.03y = 6 - 3

                               0.02y = 3

                               y = \frac{3}{0.02}

                               y = 150 ml

Substituting y = 150 ml into equation (3) to get x

                              x  = 100 - 150 ml

                              x = - 50 ml

The quantity of the first alcohol solution needed for the mixture for 3% is - 50 ml

The quantity of the second alcohol solution needed for the mixture for 5% is 150 ml

This solution means 50 ml of the first alcohol solution must be removed from the mixture with 150 ml of the second alcohol solution to get a final mixture of 100 ml of 6% alcohol solution.

3 0
2 years ago
. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point)
charle [14.2K]

Answer:

2 sqrt(2x-1)

Step-by-step explanation:

f(x) = sqrt( x+9)

g(x) = 8x-13

f(g(x))

place the function g(x) in for x in f(x)

f(g(x)) = sqrt(8x-13+9)

Combine like terms

f(g(x)) = sqrt(8x-4)

Factor out 4

f(g(x)) = sqrt(4*(2x-1)

           2 sqrt(2x-1)

5 0
2 years ago
Read 2 more answers
What is the gradient of the graph shown ? Give your answer in its simplest form
Sedbober [7]

Answer:

-2

Step-by-step explanation:

choose any point on the graph

3 0
2 years ago
3(2.4−1.1m)=2.7m+3.2
telo118 [61]

Hello again!

First, distribute the 3 to the parenthesis, so you get 7.2-3.3m=2.7m+3.2. Next, subtract 3.2 from both sides to get m's on one side. Then you have 4.2-3.3m=2.7m. Next, add 3.3m to both sides so you can solve for m. Now you have 4.2=6m. Then, divide 4.2 by 6, and m=.7

Hopefully this helps! Let me know if you have any questions

6 0
3 years ago
Read 2 more answers
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