Convert 32 ft/sec to m/min Hint: 1 m = 3.28 ft Show your answer with 2 decimal places.
1 answer:
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Answer:
Please check the attached figure a for a complete visual.
Step-by-step explanation:
Considering the triangle ΔABC with vertices
- A(-2, 0)
- B(-2, 4)
- C(0, 0)
When a figure is multiplied by a scale factor greater than 1, the figure is enlarged.
As the center of enlargement is (4, 4).
So, Draw a straight line from vertex A to the point (4, 4). Count how many units it needed in two dimensions to reach the center of enlargement (4, 4).
In case of vertex A, it was 6 units right and 4 units up. So, multiply them with 1.5 and locate the resulting position as A' which is the image of A after the scale factor of 1.5 using the center of enlargement as (4, 4).
So, when we multiply '6 units right' with 1.5, it becomes 9 units. So, move 9 units right from the center of enlargement (4, 4).
Similarly, when we multiply '4 units up' with 1.5, it becomes 6 units. So, move 6 units up from the center of enlargement (4, 4).
So, new the position of A' is shown in figure a.
Similarly, the vertex B and C are enlarged and the positions of B' and C' are shown in figure a.
The complete enlargement of triangle ΔABC is done as ΔA'B'C'. Please check the attached figure a for a complete visual.
Keywords: enlargement, scale factor, transformation
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Answer:
Step-by-step explanation:
the volume of a cylinder is given by:
where r is the radius and h is the height.
and the surface area:
the first term is the area of the circles and the second term is the area of the body.
since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:
substitutig the equivalent expressions on each side:
and we simplify and solve for the height (since is the value we don't know of the cylinder):
we substitute the value of the radius , and we get:
thus the volume is: