Answer:

Step-by-step explanation:
The area of a circle is found using this formula:

We know the circle's diameter is 5 feet, but we don't know the radius. Remember the diameter passes through the center from one side to the other, while the radius connects the center and the side. Therefore, the radius is half the diameter.
We know the radius is 2.5 feet and we are using 3.14 for pi. Substitute the values into the formula.

Solve the exponent.
- (2.5 ft)²= 2.5 ft *2.5 ft=6.25 ft²

Multiply.

The area of the circle is <u>19.625 square feet.</u>
Answer:
-8i
Step-by-step explanation:
To multiply numbers is polar form
z1 = r1 ( cos theta 1 + i sin theta 1)
z2 = r2 ( cos theta 2 + i sin theta 2)
z1*z2 = r1*r2 (cos (theta1+theta2) + i sin (theta1+theta2)
z1 = 2(cos 70° + i sin 70°)
z2 = 4(cos 200+ i sin 200)
z1z2 = 2*4 (cos (70+200) + i sin (70+200)
z1z2 = 8 (cos(270) + i sin (270))
= 8 (0 + i (-1))
=-8i
Answer:
$13.75 should be your answer
Step-by-step explanation:
Note that 45 nickles = 45 x 5 = 225 cents
Note that 10 quarters = 10 x 25 = 250 cents
Note that 18 half-dollars = 18 x 50 = 900 cents.
225 cents = $2.25
250 cents = $2.50
900 cents = $9
Add
2.25 + 2.50 + 9 = 13.75
~
You can multiply 10 by 1/4 or .25
10x.25=2.5