5 (x+4) ...................
Answer:
3.14 * r^2 * h
Step-by-step explanation:
Answer:
10.3
Step-by-step explanation:
When calculating the mean from a grouped frequency table, first you must estimate what the value is through finding the number halfway between the value that x is greater than and less than:
The number halfway between 8 and 9 is 8.5
The number halfway between 9 and 10 is 9.5
The number halfway between 10 and 11 is 10.5
The number halfway between 11 and 12 is 11.5
Next, you have to multiply the estimated value by its frequency:
8.5 x 3 = 25.5
9.5 x 11 = 104.5
10.5 x 17 = 178.5
11.5 x 9 = 103.5
Then, add up the values you calculated and divide them by the total frequency (all the frequencies added up).
total estimated length: 25.5 + 104.5 + 178.5 + 103.5 = 412
total frequency: 3 + 11 + 17 + 9 = 40
412/40 = 10.3
Answer:
No, it's not long enough
Step-by-step explanation:
The perimeter of the square is 4/5. P=4s where s is the side length. 4/5 is larger than 5/8, so there will not be enough lights to cover the whole perimeter.
Answer:
total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
Step-by-step explanation:
The compound solid looks like it's made up of a cylinder with a base with 10 cm diameter and height of 12 cm and a half sphere with radius 10 cm.
volume of cylinder: (pi)(r^2)h
volume of sphere: (4/3)(pi)r^3
total volume = (pi)(r^2)h + (1/2)(4/3)(pi)r^3
We are given a diameter of 10 cm, so the radius is 5 cm since r = d/2.
total volume = (pi)[(5 cm)^2](12 cm) + (2/3)(pi)(5 cm)^3
total volume = 300pi cm^3 + (250/3)pi cm^3
exact total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
