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Leona [35]
2 years ago
15

What is a true statement about a 45-45-90 triangle?

Mathematics
1 answer:
lara31 [8.8K]2 years ago
3 0

Answer:

<h2>C. The hypotenuse is √2 times long as either leg.</h2>

Step-by-step explanation:

Look at the picture.

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The base of a solid right pyramid is a regular hexagon with
cupoosta [38]

Answer: Last option.

Step-by-step explanation:

Observe the base of the pyramid, which is a regular hexagon. You can see that there is a right triangle.

The area of the triangle can be calculated with this formula:

A_t=\frac{bh}{2}

Where "b" is the base and "h" is the height.

You can say that the apothem is the height of the right triangle, then, you need to find the base applying the Pythagorean Theorem:

(2x)^2=(x\sqrt{3})^2+b^2\\\\b=\sqrt{(2x)^2-(x\sqrt{3})^2} \\\\b=\sqrt{4x^2-3x^2}\\\\b=\sqrt{x^2}\\\\b=x

Then, the area of the triangle is:

 A_t=\frac{x(x\sqrt{3})}{2}=\frac{x^2\sqrt{3})}{2}

Since the base of the pyramid is a regular hexagon, then you can multiply by 12 the area of the right triangle calculated above, in order to find the area of the hexagon. Then you get:

A_h=12(\frac{x^2\sqrt{3})}{2})=6x^2\sqrt{3}\ units^2

5 0
2 years ago
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When you are out in the sunshine you feel warm because the _____ energy excites the molecules of your skin and creates heat ther
Leni [432]
You feel warm because the suns energy excites your molecules

7 0
2 years ago
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HURRY PLS!!!!!!!!
Feliz [49]

Answer:

The answer is D on edgen.

Step-by-step explanation:

D. 80

(all you do is add 40, 14 and 26 from the graph)

7 0
2 years ago
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Jonah’s restaurant bill comes to $25.65 and he leaves a 15% tip. What’s the total costof his restaurant bill?
crimeas [40]
His total bill will be roughly 29.50

6 0
2 years ago
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Minute Maid states that a bottle of juice contains 473 mL. Consumer groups are interested in determining if the bottles contain
olga2289 [7]

Answer:

Option C) The average contents of all bottles of juice in the population, which is 473 mL

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 473 mL

Sample mean, \bar{x} = 472 mL

Sample size, n = 30

Sample standard deviation, σ = 0.2

First, we design the null and the alternate hypothesis

H_{0}: \mu = 473\text{ mL}\\H_A: \mu < 473\text{ mLinches}

Representation of \mu

  • \mu is the population parameter that represents the population mean.

Thus, for the given situation \mu represents:

Option C) The average contents of all bottles of juice in the population, which is 473 mL

6 0
2 years ago
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