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kirill115 [55]
3 years ago
12

Suppose a triangle has sides a, b, and c, and the angle opposite the side of length b is obtuse. What must be true?

Mathematics
1 answer:
anyanavicka [17]3 years ago
5 0

Answer: D.a^2 + b^2 < c^2

Step-by-step explanation:

In the given figure, we have an obtuse triangle which has sides a, b, and c, and the angle opposite the side of length b is obtuse.

∵ In a triangle, the side opposite to the largest angle is largest.

Thus, the largest side in then given obtuse triangle= c

The Pythagorean inequalities theorem says that If a triangle is obtuse than the square of the largest side is greater than the sum of square of other two sides.

Therefore, we have

a^2 + b^2 < c^2

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The margin of error is obtained as the ratio of the standard deviation and the square root of the sample size. It is a measure of the amount of difference that is expected to exist between the actual population value and the value obtained from the sample.

  • <em>Margin of Error = ±0.01</em>

<u>Margin of Error can be calculated using the relation</u> :

  • Margin of Error = σ/√n

Margin of Error = 0.228 ÷ √500 = 0.010

Therefore. the margin of error can be interpreted to mean that the value of the mean obtained from the sample is expected to differ from the mean of the population weight by ±0.01

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3 years ago
The total home attendance for a professional basketball team in 2010 was about 8.2 × 10 to the power of 5, and in 2008 was about
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3 years ago
Evaluate the expression.<br> -2.035 – 1.008 - 3.04 + 0.008
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-6.075

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3 years ago
The staff of a school cafeteria makes 86 sandwiches for the students trip. if n represents the number of sandwiches that were ea
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6 0
3 years ago
Im not sure if anyone knows how to do this but if u do could u pleaseee help me with this!!!
slavikrds [6]

Answer:

y = -2x - 5

Step-by-step explanation:

<u>1) Find the slope of the line.</u>

The slope of the original line is the same as the slope of the parallel line.

Slope formula:

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

In this case you can choose any 2 set of points on the table.

m = \frac{4 - 2}{-3 - (-2)} = \frac{4 - 2}{-3 + 2} = \frac{2}{-1} = -2

So the slope of the line is -2

<u>2) Use the point-slope formula to find the equation of the line.</u>

Point-slope formula:

y - y_{1}  = m(x - x_{1})

Now plug in the point (0, -5) and the slope -2 into the equation.

y - (-5) = -2(x - 0)

y + 5 = -2(x - 0)

To solve the equation first apply the distributive property.

y + 5 = -2x + 0

y + 5 = -2x

Next, subtract 5 from sides.

y = -2x - 5

You know have your equation in point-slope form!

6 0
3 years ago
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