So Volume (V) of a sphere is:
so essentially we need to divide the machine's Volume (V) the gumball volume (v)
now we divide V by v:
so b) 5,832 gumballs can fit in the machine
4. one solution is (1, 3)
5. (1, -1)
7. -5 = x + 3
x = -5 - 3
x = -8
8. z - 4 = -8
z = -8 + 4
z = -4
Answer:
slope = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 5 + 4x, that is
y = 4x - 5 ← is in slope- intercept form
with slope m = 4
3/6 is bigger because it simplifies to 1/2 and 3/8 is below 1/2.
You can use the pythagorean theorem. Make sure that you put the measurements in the right places though. Since 11 is the measure of the hypotenuse, 11 has to be c. When you plug in the information that you have, it should look like this:
8^2 + b^2 = 11^2
Square 8 and 11.
64 + b^2 = 121
Subtract 64 from 121
121 - 64 = 57
The new equation is:
b^2 = 57
Now take the square root of both sides to get b by itself.
b = about 7.5
Answer: The height of the triangle is 7.5
***** Note: I rounded the answer ********************************************
