Answer:
7. 1520.53 cm²
8. 232.35 ft²
9. 706.86 m²
10. 4,156.32 mm²
11. 780.46 m²
12. 1,847.25 mi²
Step-by-step explanation:
Recall:
Surface area of sphere = 4πr²
Surface area of hemisphere = 2πr² + πr²
7. r = 11 cm
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)
8. r = ½(8.6) = 4.3 ft
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)
9. r = ½(15) = 7.5 m
Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)
10. r = ½(42) = 21 mm
Plug in the value into the formula
Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44
= 4,156.32 mm²
11. r = 9.1 m
Plug in the value into the formula
Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15
= 780.46 m²
12. r = 14 mi
Plug in the value into the formula
Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75
= 1,847.25 mi²
Answer: x=50
Step-by-step explanation:
18*x-(900)=0
Pull out like factors: 18x-900=18x(x-50)
18=0
x-50=0
Add 50 to both sides of the equation:
x=50
Answer:
Greater than 3
Step-by-step explanation:
Logarithms explain the relationship between exponents.
Think of them as such, except they got their bases and exponents switched.
In this logarithm:
basically says 2 to the power of <em>what</em> gets you to 10.
Now let's experiment: 2^2=4, 2^3=8. 2^4=16.
Wait, we already crossed 10. Now we know that log2(10) must be in between 3 and 4. We don't need to find the exact value, because thats not what the question asked.
It's between 3 and 4, so it has to be greater than 3 but less than 4. Thee is your answer!
Have a nice day! :)
Perimeter of square is 48 inches.
Square has 4 side so one side is 48/4= 12 inches.
Then the area of square is 12*12 = 144 inches^2
