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Sav [38]
3 years ago
12

Using the side lengths, determine whether the triangle is acute, obtuse, or right.

Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0

Answer:

Step-by-step explanation:

In an acute triangle, the size of all the angles are less than 90 degrees. In a right triangle, the size of one angle which is also the largest is 90 degrees. In an obtuse triangle, the size of the largest angle is greater than 90 degrees but lesser than 180 degrees. Looking at the given triangle,

1) it is not obtuse because are the angles are smaller than 90 degrees

2) it is not right angle because Pythagorean theorem does not hold. It means

61² + 11² ≠ 91²

3842 ≠ 8281

Since the size of all the angles are below 90 degrees, then it is an acute triangle.

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Y_Kistochka [10]

Answer:

Interest earned at 3.9 percent rate is $31.2

Interest earned at 2 percent rate is $5.8

Step-by-step explanation:

A = P(1 + rt)

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Interest earned at 2 percent rate = $585.8 - $580 = $5.8

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Answer:

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Step-by-step explanation:

<u>Key skills needed: Creating an equation, Solving an equation</u>

1) The total cost is 329.00 (or 329). The parts are 125.00 (or 125), and the labor is 68 per hour.

2) If we say h is the number of hours of labor, then we can create this equation --> 68h (or 68 multiplied by "h") 68h would be the cost of labor, and we need to find the number of hours (h) as a number.

3) We can create this equation --> 329 = 125 + 68h

--> This equation can be made as the total cost (329) is equal to the parts (125) and the labor (68h)

4) Subtract 125 from both sides to get 68h by itself

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--> Divide by 68 on both sides (204 divided by 68 is 3)

--> This means that h is 3.

Therefore, the number of hours spent on labor is 3.

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