Answer:
r = 8 ft
Step-by-step explanation:
The formula for circumference of a circle is
C = 2 * pi *r
We know the circumference is 16 pi
16 pi = 2 pi r
Divide each side by 2pi
16 pi /2 pi = 2 pi r / (2pi)
8 = r
Answer:
40ft
Step-by-step explanation:
Please kindly see the attached file for more explanation
Put simply, you have to work backwards in making the equations. Start with the product of 8/3 and 9.
*9 Next take 1/4 of that. This can be done in two ways, either multiplying by 1/4:
(
*9)*
, or dividing everything by 4.
(
*9)/4
Finally, subtract three.
The final equation would read:
((
*9)*
)-3Using PE(M/D)(A/S), we'd start with

*9
3 and 9 cancel out to be 1 and 3, leaving us with

, or 8, and 3 and this part of the equation reading 8*3, which is 24.
The next step is

, which is 6.
Lastly we subtract 3 from six, leaving us 3.
5. (0,1)
6. (-2,-2)
7. (-1,-3)
8. (-3, 2)
<h3>Answer:</h3>
a) l = 5 + 2w
b) P = 2(l +w) = 2(5 +2w +w)
c) w = 8 cm, l = 21 cm
<h3>Explanation:</h3>
a) Using w for width, twice the width is 2w, and 5 more than that is 5+2w. This is your expression for l:
... l = 5 + 2w
b) The perimeter is the sum of the lengths of all sides, so is the sum of twice the length and twice the width.
... P = 2(l +w) = 2(5 +2w + w) . . . . substituting for l using the expression of (a)
c) Substituting the given perimeter, we have ...
... 58 = 2(5 +3w) = 10 + 6w . . . . . collect terms, eliminate parentheses
... 48 = 6w . . . . . . . . . . . . . . . . . . subtract 10
... 8 = w . . . . . . . . divide by 6
... l = 5 + 2·8 = 21 . . . . . find length using the formula for it
Dimensions are in centimeters, so we can write the solution as ...
- width = 8 cm
- length = 21 cm