This is known as the commutative property of addition.
Hope this helps!
Answer: a = 2,315.5
Step-by-step explanation:
a = 2πrh+2πr²
a = 2π(9)(32) + 2π9²
a = 2π x 288 + 2π x 81
a = 1809.6 + 508.9
a = 2,315.5
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Answer:

Step-by-step explanation:
The area of the square is 36.
A = s^2
36 = s^2
s = sqrt(36)
s = 6
The side of the square has length 6.
All sides of a square are congruent, so all sides have length 6.
If you extend segment JO to point L, you end up with segment JL which is a diameter of the circle and the diagonal of the square. We can use the Pythagorean theorem using two sides if the square as legs and the diagonal of the square as the hypotenuse of a right triangle.
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
c^2 = 72




c is the diameter.
r is the radius, so it is half of the diameter.
c = d
r = d/2

Step-by-step explanation:
Let F = The number of $5 bills and T = the number of $10 bills. She has 15 bills total, so:
F+T = 15
T = 15-F
She has $120 total:
$120 = ($5)*F + ($10)*T
$120 = $5*F + ($10)*(15-F) [Substitute 15-F in place of T]
120 = 5F + 150 - 10F
-30 = -5F
6 = F
Check:
T= 15-F = 15=6 = 9
$120 = ($5)*6 + ($10)*9
$120 = $30 + $90
$120 = $120