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olya-2409 [2.1K]
3 years ago
5

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure.

Mathematics
1 answer:
Len [333]3 years ago
6 0

we know the triangle is an isosceles, so it has twin sides, and then the hypotenuse, since it's a right-triangle, we can just use the pythagorean theorem for that.


\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{3\sqrt{2}}\\ b=\stackrel{opposite}{3\sqrt{2}}\\ \end{cases} \\\\\\ c=\sqrt{(3\sqrt{2})^2+(3\sqrt{2})^2}\implies c=\sqrt{(3^2\cdot 2)+(3^2\cdot 2)}\implies c=\sqrt{18+18} \\\\\\ c=\sqrt{36}\implies c=6

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First step is to distribute.
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3 years ago
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stealth61 [152]

Answer:

The p -value is less than 0.001.

Step-by-step explanation:

Given information:

Sample size = 25 chips

Sample mean = 985

Sample standard deviation = 10

Let as assume that sample is distributed normally.

The formula for test statistic

t=\frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}

where,

\overline{x} is sample mean

μ is population mean.

s is sample standard deviation.

n is sample size.

The value of test statistic is

t=\frac{985-1000}{\frac{10}{\sqrt{25}}}

t=\frac{985-1000}{\frac{10}{\sqrt{25}}}

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Answer:

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• Yes

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Step-by-step explanation:

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Subtract 7 on both sides:

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Divide by -2 on both sides:

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This means that the solution can be 6 or greater than 6.

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_______

Alternatively, we can also substitute each value of y into the inequality and check if the value is less than or equal to -5.

Here's an example to check if -10 is a solution.

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When y= -10,

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= -2(-10) +7

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Since 27 is greater than 5, it is <u>not</u> a solution to the inequality.

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Answer:

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Step-by-step explanation:

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