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gregori [183]
3 years ago
11

Find the area of the triangle with the given measurements. A = 48°, b = 30 ft, c = 14 ft

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0

Answer:

  156.06 ft²

Step-by-step explanation:

The applicable formula for the area of the triangle is ...

  Area = (1/2)bc·sin(A)

Filling in the given numbers, you have ...

  Area = (1/2)(30 ft)(14 ft)·sin(48°) ≈ 156.06041335 ft²

The area of the triangle is about 156.06 square feet.

_____

Sufficient digits are provided here so that you can round to the precision you (or your computer) may desire.

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Answer:

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Step-by-step explanation:

First, we must find the slope of the line given. We are given the equation:

y-2/3x=2

We must get this equation in slope-intercept form: y=mx+b (where m is the slope and b is the y-intercept). In order to do this, we must get y isolated.

2/3x is being subtracted from y. We want to preform the inverse, so we should add 2/3x to both sides.

y-2/3x+2/3x=2+2/3x

y=2+2/3x

Rearrange the terms.

y= 2/3x+2

Now the equation is in slope intercept form. (y=mx+b). 2/3 and x are being multiplied, so we know that the slope is 2/3.

Now, we have to find the perpendicular slope. Perpendicular lines have negative reciprocal slopes.

1. Negative

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Negate the slope.

m= -2/3

2. Reciprocal

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Flip the numerator (top number) and denominator (bottom number).

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3 years ago
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Evgen [1.6K]

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Step-by-step explanation:

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Set up a proprtion and cross multiply.

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