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DIA [1.3K]
3 years ago
8

A triangle has two sides that are 4 inch and 10inch what could be the length of the third side of the triangle

Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0

Answer:

The length of the third side is both more than six and less than 14

Step-by-step explanation:

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A case of 24 tennis balls weighs 3 pounds. How much would a shipment of 2560 tennis balls weigh? Please write
kolbaska11 [484]

The weight of a shipment of 2560 balls weighs 320 pounds.

<h3>How much would a shipment of 2560 tennis balls weigh?</h3>

We know that 24 tennis balls weigh 3 pounds. Then the weight of a single tennis ball is:

W = (3 lb)/(24 balls) = (1/8) pounds per ball.

To get the weight of 2560 tennis balls, we just need to multiply the number of tennis balls by the weight of a single ball, then we get:

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The weight of a shipment of 2560 balls weighs 320 pounds.

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Ravi is driving 440 miles to visit his grandma. He drives at a rate of 55 miles per hour. How many hours will it take him to get
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A 500-foot cable is attached to the top of a tower and is stretched tight to a point that is 350 feet away from the base of the
Fantom [35]

The angle of depression the cable forms is the arctan of the ratio of the

horizontal distance to the height of the tower which is approximately 35°.

Response:

B. 35°

<h3>Which method can be used to find the angle of depression?</h3>

Given:

Height of the tower = 500-feet

Horizontal distance from the (other)  point of attachment of the cable to

the base of the tower = 350-feet.

Required:

The angle of depression formed by the cable.

Solution:

The angle of depression is the angle, θ, the cable forms with the tower

from the top of the tower.

By trigonometric ratios, therefore;

tan(\theta) = \mathbf{\dfrac{Horizontal \ distance \ of \ cable \ from \ tower}{Height\ of \ tower}}

Which gives;

tan(\theta) = \dfrac{350}{500} = \dfrac{7}{10}

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The best correct option is; <u>B. 35°</u>

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2 years ago
Use the expression for the slope from part B to write a general equation for the slope of any two points (a, b) and (c, d).
Dmitrij [34]

Using a slope value of 3, the general equation in point-slope form is: y - b = 3(x - a).

<em><u>Recall:</u></em>

  • Given the slope (m) of a line, we can write an equation in point-slope form of the line can be written if we know one of the points as, y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m = slope.

From the question given, the slope gotten from part B is missing in this question. However, let's assume the slope (m) = 3.

Using one of the points, say (a, b), to write a general equation in point slope form, substitute (x_1, y_1) = (a, b) and m = 3 into y - y_1 = m(x - x_1).

Thus:

\mathbf{y - b = 3(x - a)}

Therefore, using a slope value of 3, the general equation in point-slope form is: y - b = 3(x - a).

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Simplify 6 (n - 4) - 4n
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The answer is 2n-24. Hope this helps!
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