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notsponge [240]
3 years ago
7

In a 30°-60°-90° triangle, what is the length of the longer leg when the length of the hypotenuse is 18 inches?

Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0

Answer:

9sqrt(3) in.

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is:

short leg : long leg : hypotenuse

      1        :   sqrt(3)  :          2

If the short leg measures 1, then the hypotenuse measures 2.

The length of the hypotenuse is twice the length of the short leg.

The length of the long leg is sqrt(3) times the length of the short leg.

If the hypotenuse measures 18 in., then the short leg measures 9 in.

Then the long leg measures 9sqrt(3) in.

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Lelechka [254]

Answer: Second option.

Step-by-step explanation:

You need to use the following formula:

V=\frac{1}{3}Bh

Where "B" is the area of its base and "h" is the height.

According to the data given in the exercise, you know that:

B=7.4 units^2\\\\h=6\ units

Therefore, knowing this values, you can substitute them into the formula shown before and then evaluate, in order to calculate the volume of thi right pyramid whose base is a regular hexagon.

Then, you get:

V=\frac{1}{3}(7.4 units^2)(6\ units)\\\\V=14.8\ units^3

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3 years ago
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Answer:

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Step-by-step explanation:

it is because 3/1 × 3×5

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Phantasy [73]

Answer:

32, consecutive interior angles are supplementary.

Step-by-step explanation:

We know that the two angles add up to 180, because consecutive interior angles are supplementary. So let's set up an equation equal to 180.

2x + 3x + 20 = 180

Now let's add like terms.

5x + 20 = 180

Now let's subtract 20 from both sides.

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Answer:

C, None of the above

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Step 1: Expand the brackets

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Step 2: Collect like terms

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Because the answer is not a or b the answer is 'None of the Above'

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