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Lynna [10]
3 years ago
6

A rectangle has vertices at these coordinates.

Mathematics
2 answers:
kompoz [17]3 years ago
8 0
(6,2) is the fourth vertex
Arte-miy333 [17]3 years ago
4 0

Answer:

The coordinates of the fourth vertex of the rectangle is:

(6,2)

Step-by-step explanation:

We are given three vertices of a rectangle as:

(2,2) , (2,5) , (6,5)

Now, we need to find the fourth vertex of the rectangle.

We find the fourth vertex with the help of the graph.

Clearly after plotting the three points  on the coordinate plane we observe that the fourth vertex of the rectangle is:

(6,2).

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A car is on a driveway that is inclined 10 degrees to the horizontal. A force of 490 lb is required to keep the car from rolling
lara31 [8.8K]

Answer:

a) weight  of the car = 2816,1 lbs

b) 2773 lbs

Step-by-step explanation:

The equilibrium force is 490 lbs. That force keep the car at rest, then

∑ Fy  =  0     and  ∑Fx  =  0

Forces acting on the car:

The external force   490 lbs

weight of the car   uknown

Normal force

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cos∠10° = 0.985

∑Fx  =  0         mg*sin10°- 490 = 0      ∑Fy =  0      mg*cos10° - N  =  0

mg*0,174= 490

mg  =  490 / 0,174

mg = 2816,1 lbs

weight  of the car = 2816,1 lbs

The Normal force

mg*cos10° - N  =  0        2816,1 * 0,985 = N

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Then equal force in magnitude and in opposite direction will car exets on the driveway

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