The area of a circle is 121π ft². What is the circumference, in feet?

Mathematics

1 answer:

olasank [31]3 years ago

4 0

Answer:

· Area = pi*r^2. 121 = pi*r^2. Solve for r. Circumference = 2*pi*r. plug r into that equation and solve for Circumference

Use the given functions to set up and simplify f e e t . 121 π f t 2 = f e e t = f e 2 t

Step-by-step explanation:

You might be interested in

The city of new orleans leaves union station in chicago at 6:00 am and travels south to new orleans. the train travels the 930.0

Naddik [55]

Answer: 460.6 miles South of Chicago

Explanation:

1) <span>The City of New Orleans leaves Union Station in Chicago at 6:00 am and travels south to New Orleans. The train travels the 930.0 miles to New Orleans at an average speed of 79.0 miles per hour.

Scheme:

→to south                      ←to north
|----------------------|---------------------|
               A        x           X      930.0 - x    B
            6:00 am                                          6:00 am
           →                                                      ←
           v = 79.0 mi/h                                     v = 81.1 mi/h

=> x = 79.0 mi/h * t

2) at the same time the City of Chicago leaves New Orleans and travels north to Nhicago. The train travels the 930.0 miles to Chicago at an average speed of 81.1 miles per hour.

930.0 - x = 81.1 mi/h * t

3) How many miles south of chicago do the two trains pass each other?

Divide the two equations:

930.0 - x         81.1*t
------------- =   ----------
      x                 79*t

t cancels out =>

930.0 - x         81.1
------------- =   --------
     x                 79.0

Solve:

81.1x = 79.0(930.0 - x)

81.1x = 79.0 * 930.0 - 79.0x

81.1x + 79.0x = 73,470

=> 160.1x = 73,470

=> x = 73,470 / 160.1

=> x = 460.6 mi

4) Answer 460.6 miles South of Chicago.
</span>

7 0

3 years ago

A hot air balloon can hold u to 300 pounds of weight the balloons pilot weighs 140 pounds how many 20 pound bags of sand b can h

Mashcka [7]

You can have 8, 20lb bags of sand plus the balloon pilot

3 0

3 years ago

Y=x²-6x+8 what is y when x is 0?

jarptica [38.1K]

Answer:

The value of y is 8.

Step-by-step explanation:

In order to find the value of y, you have to put in x = 0 into the equation :

$y = {x}^{2} - 6x + 8$

Let x = 0,

$y = {0}^{2} - 6(0) + 8$

$y = 8$

6 0

4 years ago

How can an expression written in either radical form or rational exponent form be rewritten to fit the other form?

adell [148]

When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2
Now, how to go about doing this:

In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.

For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
x^6/5 = Fifth root of x^6
x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)

Hope this helps!

8 0

3 years ago

*PLEASE HELP MEEEEEE* You throw a dart at the board shown. Your dart is equally likely to hit any point inside the square board.

yawa3891 [41]

Answer:

19.63%

Step-by-step explanation:

The probability of scoring 8 points is the probability of getting a dart into the green circle.

That probability is equivalent to the area of the circle divided by the total area of the square board.

The area of the circle according to $A=\pi*r^2$ , is $25\pi$ cm squared