Volumen of A Solid
Given a solid with a shape of a constant base B and height H, the volume is:
V = BH
The height of the solid is 1 1/4 ft. We need to calculate the area of the base.
The base consists of a larger rectangle from which has been taken a smaller rectangle.
The larger rectangle has dimensions of 9 ft by 6 ft, thus its area is:
A1 = 9 ft * 6 ft = 54 square ft
The smaller rectangle has dimensions of 2 1/2 ft by 4 ft.
The second dimension was calculated as the difference between 9 ft and 2 ft plus 3 ft. (9 ft - 3 ft - 2 ft = 4 ft).
The area of the smaller rectangle is:
A2 = 2 1/2 * 4
The mixed fraction 2 1/2 is converted to improper fraction:
2 1/2 = 2 + 1/2 = 5/2
Thus, the area is:
A2 = 5/2 * 4
A2 = 10 square feet
The area of the base is A1 - A2 = 54 square feet - 10 square feet = 44 square feet
B = 44 square feet.
Now for the volume:
V = 44 square feet * 1 1/4 feet
Again the mixed fraction is converted to a single fraction:
1 1/4 = 1 + 1/4 = 5/4
V = 44 square feet * 5/4 feet
V = 55 cubic feet
Answer:
The annual rate of interest is 2 %
Step-by-step explanation:
Given as :
The investment amount = $ 3,500
The Interest earn on investment = $ 210
The time period = 3 years
Let The annual interest rate = R
From simple interest method :
Simple Interest =
Or, 210 × 100 = 3500 × R × 3
Or, R =
Or, R =
HOPE THIS HELPED!!
Answer:
226pi
Step-by-step explanation:
2 * pi * 7 *(7+12)
Well, since we know is a geometric sequence, we can always get the common ratio of it by simply dividing one value by the one behind it... so let's do so, with say hmm -32 and 8 -32/8 = -4 <-- our common ratio
the first term is -2
Answer:
<h2>h(3) = 6</h2>
Step-by-step explanation:
h(x) = 3x - 3
To find h(3) , substitute the value of x that's 3 into h(x). That is for every x in f (x) replace it with 3
We have
h(3) = 3(3) - 3
= 9 - 3
We have the final answer as
<h3>h(3) = 6</h3>
Hope this helps you
