Answer:
Lateral Area of a Cylinder = 2πrh
=2π x 3 x 6
=36π
Option D
Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.
So if D is the diameter and h is the height of the conical pile then we can write:
D=3h
We know that diameter = 2r, where r is the radius
2r=3h
Volume of conical pile is given by formula
Given that volume is 1110 cubic feet.
Now plug the values of Volume and r into equation of volume
take cube root of both sides
7.78103342467=h
Hence height is approx 7.78 feet.
All the relevant transformations are as shown in the explanations below.
<h3>How to Interpret Transformations?</h3>
We are given the original function as y = x and told the transformation is as follows;
1) y = x + 5; This means that the function was shifted 5 units to the left.
2) y = ³/₈x; This means that the function was vertically stretched by a scale factor of ³/₈.
3) y = -x - 2 or y = -(x + 2); This means that the function was first shifted by 2 units to the left before being reflected over the x-axis.
4) y = 6x + 1; This means that the function was stretched by a factor of 6 and then shifted 1 unit to the left.
5) y = x - 11; This means that the function was shifted 11 units to the right.
6) y = 8x; This means that the function was vertically stretched by a scale factor of 8.
7) y = -1/3x; This means that the function was horizontally stretched by a scale factor of 1/3.
Read more about Transformations at; brainly.com/question/4289712
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Answer:
Principal = Total ÷ (1 + Rate)^years
That formula is found here: http://www.1728.org/compint2.htm
Principal = 3.000 / (1.03) ^ 15
Principal = 3.000 / 1.5579674166
Principal = $1,925.59
Step-by-step explanation:
Answer:
Equation: 2x + 3x + 10 = 180
x = 34
Top angle = 68 degrees
Bottom angle = 112 degrees
Step-by-step explanation:
The two angles add to 180, so set them equal to 180.
2x + 3x + 10 = 180
5x + 10 = 180
- 10 - 10
5x = 170
/ 5 / 5
x = 34
Plug x into angles,
2(34) = 68
3(34) + 10 = 112
