Answer:
(B) 9π in²
Step-by-step explanation:
I’m going to assume that by 6 inches you meant 6π inches.
If the circumference of a circle is 6π inches, then it’s radius will be half of 6 (because the circumference of a circle is
).

So the radius is 3.
Now that we know the radius, we can find the area by using the equation
.

Hope this helped!
Answer: the height of the prism is 14 cm.
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × height × width
Volume = LWH
The length of the prism is 3 times the width. It means that
L = 3W
The height is twice the width. This means that
H = 2W
Therefore,
Volume = 3W × × W × 2W = 6W³
The volume of a rectangular prism is 2,058 cubic cm. This means that
2058 = 6W³
Dividing through by 6, it becomes
343 = W³
W = 7
Therefore, the height of the prism would be
H = 2W = 2 × 7
H = 14 cm
Answer:
A ) The Amount which will be saved after five years is $ 5742.4
B ) The compound Interest is $ 1742.4
Step-by-step explanation:
The Principal deposited at the end of each year = $ 4000
The rate of interest = 7.5 % compounded annually
The time period = 5 years
From compounded method :
Amount = principal × 
or, Amount = $ 4000 × 
Or, Amount = $ 4000 × 
or, Amount = $ 4000 × 1.4356
∴ Amount = $ 5742.4
A ) The Amount which will be saved after five years is $ 5742.4
B ) The compound Interest = Amount - principal
Or, C I = $ 5742.4 - $ 4000 is $ 1742.4 Answer
m = 36
<u>Work</u>
<em>45 + 2.50m = 3.75m</em>
<em> -3.75m -3.75m</em>
<em>45 - 1.25m = 0</em>
<em>- 45 - 45</em>
<u><em>-1.25</em></u><em>m = </em><u><em>-45</em></u>
<em>-1.25 -1.25</em>
<em> </em>m = 36