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Orlov [11]
3 years ago
10

The hypotenuse of a triangle measures 12 inches, and the measure of one of the acute angles is two less than three times the mea

sure of the other acute angle. What is the area of the triangle? Round your answer to the nearest square inch. (Note: The area of a triangle is 1/2bh, where the base and the height of the triangle are perpendicular).
Mathematics
1 answer:
olga_2 [115]3 years ago
3 0

Answer:

26 sq in.

Step-by-step explanation:

Let x = measure of one acute angle

3x - 2 = measure of other acute angle

Since the triangle is a right triangle, the sum of the measures of the acute angles is 90

x + 3x - 2 = 90

4x - 2 = 90

4x = 92

x = 23

90 - 23 = 67

The acute angles are 23° and 67°

Now, let a = length of side opposite the 23° angle

sin 23 = a/12

a = 12 sin 23

Let b = length of the side opposite the 67° angle

sin 67 = b/12

b = 12 sin 67

Area = 1/2ab = 1/2(12 sin 23°)(12 sin 67°)

                     = 25.90

26 sq in to the nearest inch

Wow!  That is quite the problem.

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Answer:
line a and b are parallel
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step-by-step explanation:
if the slope is the same it is parallel
if the slope is the complete opposite it is perpendicular
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A couch, a love seat, and a chair cost $1565. The couch costs twice as much as the chair, and the love seat costs $400 more than
Brilliant_brown [7]
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3 years ago
Selena was comparing the flying speeds of different birds in science class. Which of the three birds flies fastest? Why?
Mashcka [7]

Answer:

Option C. The robin flies fastest because its rate is 15 m/s

Step-by-step explanation:

Let

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y ----> the distance in meters

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take two points from the table

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take two points from the graph

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substitute in the formula

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Step-by-step explanation:

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Vera_Pavlovna [14]
<h2> Miranda's rate is 12 hours per mies.</h2>

Step-by-step explanation:

Given by question,

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