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Taya2010 [7]
2 years ago
13

a vw bug is driving north on a straight two lane road at a constant 38 mph and a chevy impala is driving south at 29 mph on the

same road heading toward the vw bug (but in a different lane). what is the velocity of the vw bug relative to the chevy impala?
Mathematics
1 answer:
s2008m [1.1K]2 years ago
4 0

Speed and Direction of VW Bug = 38 mph in north direction

Speed and Direction of Chevy Impala = 29 mph in south direction

Velocity of the VW Bug relative to Chevy Impala = ?

Since, VW Bug and Chevy Impala are driving in opposite directions, their relative speeds can be determined by taking the difference between the speeds.

Since VW Bug is faster than Chevy Impala:

Velocity of the VW Bug relative to Chevy Impala = Speed of VW Bug - Speed of Chevy Impala

⇒ Velocity of the VW Bug relative to Chevy Impala = 38 - 29

⇒ Velocity of the VW Bug relative to Chevy Impala = 9 mph

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Find the volume and surface area of this composite figure.
Mashcka [7]

Answer:

The total volume is 33.6 + 107.52 = 141.12

The total surface area is 52 + 22.4 + 76.8 + 26.88 = 178.08

Step-by-step explanation:

Top prism:

To find the volume of the top prism, multiply the area of the base by the height. This is 1/2 times width times height times length.

V =1/2 l*w*h =1/2* 3*2.8*8 = 33.6

To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.

Area of the base is A = 1/2 * b*h = 1/2 * 3 * 8 = 12. Since there are 2 bases, the area is 24.

Area of the rectangular side is A = b*h = 2.8*5 = 14. Since there are two, the area is 2*14 = 42.

The surface area of the prism is 24 + 28 = 52.

Bottom prism:

To find the volume of the bottom prism, multiply the width times the height times the length.

V = l*w*h = 8*2.8*4.8 = 107.52

To find the surface area of the bottom prism, find the area of the base and each side of the house.

A = 8*2.8 = 22.4

A = 8*4.8 = 38.4 which occurs twice so it has a total area of 76.8

A = 2.8*4.8 = 13.44 which occurs twice so it has an area of 26.88.

The total volume is 33.6 + 107.52 = 141.12

The total surface area is 52 + 22.4 + 76.8 + 26.88 = 178.08

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3 years ago
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