Kevin is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
2 answers:
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Answer:
a)
b)
c)
Step-by-step explanation:
A tank has the format of a cylinder.
The volume of the cylinder is given by:
In which r is the radius and h is the heigth.
The problem states that the diameter is measured to be 15.00 ft. The radius is half the diameter. So, for this tank
ft
The height of the tank is 22 ft, so .
a) Volume of the tank in :
b) Volume of the tank in :
We must convert both the radius and the height to m.
Each feet has 0.30 m, so:
Radius:
1 feet - 0.30m
7.5 feet - r m
Height
1 feet - 0.30m
22f - h m
The volume is:
c) Volume of the tank in :
Each m has 100 cm.
So
The volume is:
Answer:
Option (B) is true i.e segment B'D' will run through (2,2) and will be longer than the segment BD.
Step-by-step explanation:
As the assumption quadrilateral ABCD is shown in figure a.
First located the center of the dilation which is located at (2,2) as shown in figure b.
The next thing we want to do is to determine the distance of the center of dilation to each of the points of quadrilateral ABCD as shown in figure b.
Let’s just start with the distance from the center to the point A, but notice we don’t have to move up and down in y direction. So, what we have to do is to increase this by the factor 2. Because this horizontal distance is 1 i.e. the distance from dilation center (2,2) to point A, we just have to multiply by 2 which would be a distance of 2 and this point right here will be the new location of point A’ (0,2).
And the distance from the center to the point C is the horizontal distance of 2 i.e. the distance from dilation center (2,2) to point C, we just have to multiply by 2 which would be a distance of 4 and this point right here will be the new location of point C’ (6,2).
And the distance from the center to the point B is the upward vertical distance of 1 i.e. the distance from dilation center (2,2) to point B, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point B’ (2,4).
And similarly the distance from the center to the point D is the downward vertical distance of 1 i.e. the distance from dilation center (2,2) to point D, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point D’ (2,0).
So, Quadrilateral A'B'C'D' is dilated by a scale factor of 2 centered around (2, 2).
Just notice in figure b that the segment B'D' will run through (2,2) and will be longer than the segment BD.
<u>So,option (B) is true</u> <u>i.e segment</u><u> </u><u>B'D' will run through (2,2) and will be longer than the segment BD.</u>
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