Solve for [?]. Assume that lines which appear tangent are tangent.

Mathematics

1 answer:

Alex73 [517]3 years ago

8 0

Answer:

Step-by-step explanation:

Since the problem stated that the 2 lines are tangent, you can then tell that the triangle is a right triangle.

By using the Pythagorean Theorem, the missing side, "x", is equal to $\sqrt{8.4^2+11.2^2}$ , which equals 14

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Suppose the length and width of the box in exercise 12 double. Does the surface area S double? Explain

Blizzard [7]

No, it does not.

In general, surface area is the sum of the areas of each face of a prism. In a rectangular prism, we have length, width, and height.

The area of the bottom of the prism and the top of the prism is the same, and can be represented as l*w. This means that together, it is 2lw.

The area of the left and right faces of the prism is the same, and can be represented as l*h. This means that together, it is 2lh.

The area of the front and back faces of the prism is the same, and can be represented as w*h. This means that together, it is 2wh.

This gives us the equation

SA = 2lw+2lh+2wh

If we double the length and width, making them each 2l, we then have:

SA = 2(2l*2w) + 2(2l*h) + 2(2w*h)
= 2(4lw) + 4lh + 4wh
= 8lw + 4lh + 4wh

If the surface area had been doubled, we would expect
4lw + 4lh + 4wh

No, it is not doubled.

4 0

3 years ago

Time has a total of $28 after spending half of his weekly earnings on a video game and earning $10 additional dollars for mowing

Korolek [52]

Given:

Time has a total of $28 after spending half of his weekly earnings on a video game and earning $10 additional dollars for mowing the lawn.

To find:

Weekly earnings at his part time job.

Solution:

Let x be the weekly earning.

He spend half of his weekly earning, i.e., $\dfrac{x}{2}$