Answer:
18,432 pi cubic ft
Step-by-step explanation:
This problem can be solved using formula to find circumference and volume of sphere
for any sphere with radius r
circumference of sphere is 2* pi * r
volume of sphere is found by using formula 4/3*(pi*r^2)
Given circumference of sphere is 48 pi ft
therefore
2* pi * r = 48 pi ft
r = 48 pi ft/ 2* pi = 24 ft
substituting the value of r is formula of volume of sphere we have
volume of sphere is = 4/3*(pi*24^3) = 18,432 pi cubic ft
Make an x and y table, and pick any values to plug in for x in the equation.
I will use the numbers from -2 to 2
Now plug in the values you picked for x into the equation to find its y-value
x = -2
y = 3x - 1 Plug in -2 for x
y = 3(-2) - 1
y = -6 - 1
y = -7
x = -1
y = 3x - 1
y = 3(-1) - 1
y = -3 - 1
y = -4
Do the same for the rest of the numbers, and graph each point and draw a line connecting them.
Triangle Perimeter: Add up the sides of the triangle.
26 + 24 + 10 = 60
The triangles perimeter is 60.
Triangle Area: height * base divided by 2
10 * 24 = 240
240/2 = 120
The triangles area is 120.
Answer:
648
Step-by-step explanation:
Running this in Python, with the code as follows,
import math
cur_numbers = [0] * 3
num = 0
for i in range(100, 1000):
cur_numbers[2] = i % 10
i = math.floor(i/10)
cur_numbers[1] = i % 10
i = math.floor(i/10)
cur_numbers[0] = i % 10
if(len(set(cur_numbers)) == 3):
num += 1
print(cur_numbers)
print(num), we get 648 as our answer.
Another way to solve this is as follows:
There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have
9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit = 648
