Answer:

Step-by-step explanation:
Triangle MAB is similar to triangle MNP
Since the triangles are similar, the corresponding ratios are in the same proportion.
Therefore we can write the relation;


This implies that;

We multiply both sides by 72.6 to get


Hence the value of
is 50.6 cm
Answer:
1/12 or 0.08333333333
Step-by-step explanation:
5/60 can be factored to 1/12 because the two numbers are each divisible by 5.
Answer:459.27
Step-by-step explanation:
Answer:
Quadrant I: (1,1), (4,3)
Quadrant II: (-2, 3), (-1, 1)
Step-by-step explanation:
Quadrant I points have positive x and y values. Quandrant II points have negative x values and positive y values.
So Volume of cylinder is pi*r^2*h = 1,000
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h
So now you have 2 equations, so:
h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>