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8_murik_8 [283]
3 years ago
9

Help please and simplify answer in radical form if needed

Mathematics
1 answer:
deff fn [24]3 years ago
6 0

Answer:

16\sqrt{3}\:\mathrm{units^2}

Step-by-step explanation:

The area of an equilateral triangle with side length s is equal to \frac{\sqrt{3}}{4}s^2. Since the perimeter is 24 units and there are three equal sides to an equilateral triangle, each side is 24\div 3=8 units.

Substituting in this value, we get:

\frac{\sqrt{3}}{4}8^2=\frac{64\sqrt{3}}{4}=\boxed{16\sqrt{3}}

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Step-by-step explanation:

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PLEASE HELP IM CONFUSED
jeka57 [31]

Answer:

178° 35'

Step-by-step explanation:

∠ACB and ∠ACD are supplementary, so they add up to 180°.

First, convert to degrees (there are 60 minutes in a degree).

∠ACB = 1°25' = 1° + (25/60)° = 1.4167°

Now find the supplementary:

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Answer: Use order of operations (PEMDAS). Answer is 45.72.

Step-by-step explanation:

First, solve inside parenthesis:

(5.25*1 1/5 - 4.5*4/5)

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Do multiplication and division first.

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Convert 4/5 to a decimal: 4/5 = 0.8

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The height of the building is of 244.95 feet.

Step-by-step explanation:

We use the Pythagorean Theorem to solve this question.

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The shadow of 50 feet is one side of the right triangle, while the height h is other side.

The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.

So

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h^2 = \sqrt{250^2 - 50^2}

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The height of the building is of 244.95 feet.

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