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Reil [10]
3 years ago
5

Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown. What is the smallest pos

sible whole number length of the unknown side?
Mathematics
2 answers:
Nikolay [14]3 years ago
3 0
A^2 + b^2 = c^2

10^2= 100

15^2= 225

100+225= 325

square root of 325 is approximately 18

Unknown side is about 18 inches

Gre4nikov [31]3 years ago
3 0

Answer:

24 inches.

Step-by-step explanation:

Two sides of an obtuse triangle measure 10 inches and 15 inches.

The length of the longest side is unknown.

We have to find the smallest possible whole number for length of the unknown side.

Since a triangle is possible only when sum of two sides of the triangle is greater than the third side.

Therefore, length of third side < sum of other two sides

length of third side < 10 + 15

length of third side < 25

Therefore smallest whole number length should be 24 inches.

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Anuta_ua [19.1K]

Answer:

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  • angle QRP = 180° - 140°
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  • from equation (1)
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2 years ago
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Given two points (2, 7) and (1, -2) on a line, calculate the slope of the line.
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Answer:

Step-by-step explanation:

Slope of line passing through (2, 7) and (1, -2) = (-2-7)/(1-2) = 9

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2 years ago
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably norma
Nataliya [291]

Answer:

The degrees of freedom is 11.

The proportion in a t-distribution less than -1.4 is 0.095.

Step-by-step explanation:

The complete question is:

Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the proportion in a t-distribution less than -1.4  if the samples have sizes 1 = 12 and n 2 = 12 . Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places. degrees of freedom = Enter your answer; degrees of freedom proportion = Enter your answer; proportion

Solution:

The information provided is:

n_{1}=n_{2}=12\\t-stat=-1.4

Compute the degrees of freedom as follows:

\text{df}=\text{Min}.(n_{1}-1,\ n_{2}-1)

   =\text{Min}.(12-1,\ 12-1)\\\\=\text{Min}.(11,\ 11)\\\\=11

Thus, the degrees of freedom is 11.

Compute the proportion in a t-distribution less than -1.4 as follows:

P(t_{df}

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*Use a <em>t</em>-table.

Thus, the proportion in a t-distribution less than -1.4 is 0.095.

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If k = √31 and m = √26, which graph most closely represent the locations of K and M on a number line? The options are in the pic
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First option

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√31 = 5.56....

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