Given:
Width of rectangular prism = 20 ft
height of rectangular prism = 12 ft
Length of rectangular prism = 45 ft
Cylindrical diameter = 20 ft
To find:
Volume of the tent
Solution:
Volume of the rectangular prism = length × width × height
= 45 × 20 × 12
Volume of the rectangular prism = 10800 ft³
Radius of cylinder = 20 ÷ 2 = 10 ft
Height of cylinder = length of rectangular prism
Volume of cylinder = 
Volume of half cylinder = 
Volume of half cylinder = 7069.5 ft³
Volume of tent = volume of rectangular prism + volume of half cylinder
= 10800 ft³ + 7069.5 ft³
= 17869.5 ft³
= 17869 ft³ (nearest cubic foot)
The volume of the tent is 17869 cubic feet.
I don’t understand what you are asking for
Answer:
W = 4.95
Step-by-step explanation:
You want to start by writing down what you know, and forming a system of equations.
L= length W= width
2L+2W=14.7
L= 2.4
On the left side of the equation, you're adding all your side lengths, and on the right, is the total perimeter. (Also could be written L+L+W+W = 14.7)
You would then substitute L from the bottom equation into the top equation to get:
2(2.4) +2W=14.7
Solving:
4.8+2w=14.7
W= 4.95
To check your answer simply add all the sides together and make sure it equals your perimeter. You can also plug W and L back into the original equation.
Resisting kakwkskkkdkeoeod
Answer: $31000 was loaned at 13%.
Step-by-step explanation:
Let x represent the amount loaned out at 13% interest rate.
Let y represent the amount loaned out at 5% interest rate.
The bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 5%per year. It means that
x + y = 68000
The interest received made from $x in one year is
13/100 × x = 0.13x
The interest received made from $y in one year is
5/100 × x = 0.05y
If the interest received was $5880, it means that
0.13x + 0.05y = 5880- - - - - - - - - 1
Substituting x = 68000 - y into equation 1, it becomes
0.13(68000 - y) + 0.05y = 5880
8840 - 0.13y + 0.05y = 5880
- 0.13y + 0.05y = 5880 - 8840
- 0.08y = - 2960
y = - 2960/- 0.08
y = 37000
x = 68000 - y = 68000 - 37000
x = $31000
