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2 years ago

A 4000 kg truck is parked on a 7.0° slope. How big is the friction force on the truck?

Mathematics

1 answer:

Lelu [443]2 years ago

5 0

Answer:

4777.28 N

Step-by-step explanation:

The gravitational force down the slope is given by the formula;

(mass *g * sin θ )

where;

θ is the angle of inclination of the slope

g is the gravitational pull

We plug in the given values into the above expression;

(4,000 x 9.8 x sin 7) = 4777.28 N.

The frictional force must equal to 4777.28 N (pointing up the slope).

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The length of the base of a rectangle is 6 less than 3 times the width. The perimeter of the rectangle is 52 inches. What is the

vivado [14]

Answer:

The rectangle has a width of 18 inches and a height length of 8 inches.

Step-by-step explanation:

The perimeter of a rectangle is described by the equation:

$p = 2w + 2l$

where l is width, h is height, and p is perimeter.

We're also told that the total perimeter is 52 inches.

We're also told that the length is six inches less than three times the width. We can express that as $w = 3l - 6$ .

We can plug that definition of w into the perimeter equation to find the length:

$p = 2w + 2l\\52 = 2(3l - 6) + 2 * l\\52 = 6l - 12 + 2l\\52 + 12 = 8l\\8l = 64\\l = 64/8\\l = 8$

Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:

$p = 2w + 2l\\52 = 2w + 2(8)\\52 = 2w + 16\\36 = 2w\\w = 36 / 2\\w = 18$

So the width is 18

7 0

3 years ago

the width of the rectangle is 5 inches less than it's length, and the area is 84 square inches. what are the length and width of

inysia [295]

W= l - 5 where w = width and l = length

area = 84 = l*w = l(l-5)

l(l-5) = 84
l^2 - 5l - 84 = 0
(l - 12)(l + 7) = 0
l = 12

length = 12 and width = 7

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