Answer:
7.5 m 457.5
Step-by-step explanation:
First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.
The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = .
Original Cone = = = 937.5
Smaller Cone = = = 480
Frustum = 937.5 - 480 = 457.5
Answer:
three hundred and eight five twenty sevenths
<h3>Given</h3>
A(-3, 1), B(4, 5)
<h3>Find</h3>
coordinates of P on AB such that AP/PB = 5/2
<h3>Solution</h3>
AP/PB = 5/2 . . . . . desired result
2AP = 5PB . . . . . . multiply by 2PB
2(P-A) = 5(B-P) . . . meaning of the above
2P -2A = 5B -5P . . eliminate parentheses
7P = 2A +5B . . . . . collect P terms
P = (2A +5B)/7 . . . .divide by the coefficient of P
P = (2(-3, 1) +5(4, 5))/7 . . . . substitute the given points
P = (-6+20, 2+25)/7 . . . . . . simplify
P = (2, 3 6/7)
Answer:
Step-by-step explanation:
<u>Travis' rope - t</u>
- 3t - 4 = 23
- 3t = 23 + 4
- 3t = 27
- t = 27/3
- t = 9 ft
Since the area of a rectangle is the length times width, we need to find the product of 120 and 53, which 6360..
So, the area of the maze is 6360 yards squared!
Hope this helps!