#5) 7.065 sq. ft.
#6) 36 ft
#7) 200.96 sq. ft.
#8) 176.625 sq. ft.
Explanation
#5) Converting 18 inches to feet, 18/12 = 1.5. The area of the circle would be given by A=3.14(1.5)² = 3.14(2.25) = 7.065 sq. ft.
#6) The radius is 18 inches, so the diameter is twice that: 18*2 = 36 inches. Converting this to feet, we have 36/12 = 3 feet. Each stone is 3 feet across. Laying 12 of them against each other would give us a total length of 12*3 = 36 feet.
#7) The radius of the entire mirror with frame is 20/2 = 10. The area of the entire mirror with frame is A=3.14(10²) = 3.14(100) = 314 in².
The area of the mirror without the frame is A=3.14(6²) = 3.14(36) = 113.04 in².
The difference between the two will give the area of the frame:
314-113.04 = 200.96 in²
#8) The area of the circular region is given by A=3.14(7.5²) = 176.625 ft²
Step-by-step explanation:
1. Perimeter = 2 ( 5+4) = <u>18 cm</u>
Area = 5 × 4 = <u>20 cm^2</u>
2. Perimeter = 2 (5+5) = <u>20 cm</u>
Area = 5 × 5 = <u>25 cm^2</u>
3. Cups of seed needed per sq. meter = Area of the rectangle backyard
= 6 × 7
= <u>42 </u><u>cups</u><u> </u><u>of</u><u> </u><u>seed</u>
4. Feet of fence needed = Perimeter of the Square garden
= 2(8+8)
<u>= 32 feet</u>
5. Perimeter of rectangular quilt = 2 (4+6) feet
= <u>20 feet</u>
6. Area of the room = 9 feet × 8 feet
= <u>72 feet^2</u>
The answer is x=7/3 hope this helps
Answer:
Interest earned at 3.9 percent rate is $31.2
Interest earned at 2 percent rate is $5.8
Step-by-step explanation:
A = P(1 + rt)
Where 'A' is the amount, 'r' is the rate and 't' is the time in years
When;
P = $1200
r = 3.9%
t = 
years
Then,
A = $1200(1 + 0.039())
A = $1200 + $31.2 = $1231.2
Interest = Amount - Principal
Interest earned at 3.9 percent rate is $1231.2 - $1200 = $31.2
When;
P = $580
r = 2%
t = 
years
Then,
A = $580(1 + 0.02())
A = $580 + $5.8 = $585.8
Interest earned = Amount - Principal
Interest earned at 2 percent rate = $585.8 - $580 = $5.8
It is .15 because 1/8 in decimal forma is .125
