Answer:
25
Step-by-step explanation:
The slope of the line MN where M (9,6) and N (1,4) can be obtained by obtaining the rate of the rise over the run. This is shown below:
(y2 - y1)/(x2 - x1) = (4 - 6)/(1 - 9) = (-2)/(-8)
m1 = 1/4
The slope of the line perpendicular to line MN can be obtained by taking the negative reciprocal of the slope of line MN.
m1 = 1/4
m2 = -1/m1 = -1/(1/4) = -4
Therefore, the slope of the line perpendicular to line MN is -4.
Answer:
The diameter is twice that, or approx. 7.90 units.
Step-by-step explanation:
the equation for the volume of a cylinder of radius r and height h is
V = πr²h. Here we need to calculate the diameter after having found the radius. Solving V = πr²h for r², we get:
V
r² = -----------
πh
Substituting the given values, we obtain for r² the following:
145 units³
r² = ------------------------ = 15.6 units²
3.14159(5 units)
Taking the square root of both sides, we get:
r = √15.60, or approx. 3.95 units.
The diameter is twice that, or approx. 7.90 units.
Answer:
Step-by-step explanation:
First, distribute all terms
Get all terms with R onto the same side
Factor out the R
Divide by (T-S) to isolate R
