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lord [1]
2 years ago
12

Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right

angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth?What is the value of x? A) 13.0 units B) 28.8 units C) 31.2 units D) 33.8 units i know its not B
Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
3 0

Answer:

  C)  31.2

Step-by-step explanation:

The length of AB can be found from the Pythagorean theorem:

  AB² = AD² +BD²

  AB = √(25 +144) = 13

All of the right triangles are similar, so ...

  BC/BD = AB/AD

  BC = BD(AB/AD) = 12(13/5)

  BC = 31.2 . . . units

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In a study of the effects of acid rain, a random sample of 100 trees from a particular forest is examined. Forty percent of thes
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Step-by-step explanation:

The sample mean is an unbiased estimator of the true (unknown) population mean and The sampling distribution shows how the sample mean will vary among repeated samples. In the case above the samples are selected at random from a normally distributed population, and the number of samples selected (n=100) is a bit large therefore the sampling distribution will be approximately normal.

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Takuya's parents gave him $100dollar as a birthday gift. Since he loves board games, he spent $20dollar out of his present on bo
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To write a recursive formula you need to: First, determine if the sequence is geometric(For example, If your multiply, or divide, the same amount for one term or more). Next, Find the common ratio(In other words the number that you multiply or divide).

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1 year ago
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Conrad is an architect who has just been sued because a building he helped design has collapsed and injured several people. What
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Which evidence from "Charles" supports the inference that Laurie enjoys that his parents believe his stories about Charles? Sele
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Answer:

'Well, Charles was bad again today.' He grinned enormously.” "'Well, he certainly likes kindergarten,' I said. 'He talks about it all the time.'"

Step-by-step explanation:

5 0
1 year ago
18. Manufacturers often package products in a way that uses the least amount of material One measure of the efficiency of a pack
Lemur [1.5K]

Answer:

a.  E=\frac{2h+2r}{rh}

b.

E of first can = E=\frac{2h+2r}{rh}

E of second can = E=\frac{h+2r}{rh}

c.  Yes

Step-by-step explanation:

The efficiency ratio is:

E = Surface Area / Volume

a.

We can write:

E=\frac{S}{V}

Where

S is surface area of cylinder

V is volume of cylinder

The formulas are:

S = 2\pi rh+2\pi r^2

V = \pi r ^2 h

So, the <u>efficiency ratio (E) </u>is:

E=\frac{2\pi rh+2\pi r^2}{\pi r^2 h}\\E=\frac{\pi r(2h+2r)}{\pi r(rh)}\\E=\frac{2h+2r}{rh}

b.

The first can has radius "r" and height "h", so the efficiency ratio is:

E=\frac{S}{V}\\E=\frac{2\pi rh+2\pi r^2}{\pi r^2 h}\\E=\frac{\pi r(2h+2r)}{\pi r(rh)}\\E=\frac{2h+2r}{rh}

The second can has same height, "h", and twice radius, "2r", so the efficiency ratio becomes:

E=\frac{S}{V}\\E=\frac{2\pi (2r)h+2\pi (2r)^2}{\pi (2r)^2 h}\\E=\frac{4\pi rh +8\pi r^2}{4\pi r^2h}\\E=\frac{4\pi r(h+2r)}{4\pi r(rh)}\\E=\frac{h+2r}{rh}

c.

We now need to say if the company made a good decision or not.

If you look at both the Efficiency ratios above, you will see that the difference is in the numerator.

The first can has "2h"

The second can has "h"

The "2h" makes the numerator for the first can BIGGER than the "h" of the second can, so the Efficiency ratio of first can is thus, BIGGER.

We need smaller ratio.

So, 2nd can has indeed smaller ratio, so the company made a good decision.

6 0
2 years ago
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