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Question 4
A triangle has side lengths
=5m,sqrt12m,sqrt13m
A) Is the triangle a right triangle? (type yes or no in the blank)_
B) Give the number proof for your answer in "A" here

Question $4$ $\newline$ A triangle has side lengths $=5 \mathrm{~m}, \sqrt{12} \mathrm{~m}, \sqrt{13} \mathrm{~m}$ $\newline$ A) Is the triangle a right triangle? (type yes or no in the blank)_ $\newline$ B) Give the number proof for your answer in

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Mean, variance, and standard deviation of binomial distributions

Full solution

Q. Question

4

\newline

A triangle has side lengths

=5 \mathrm{~m}, \sqrt{12} \mathrm{~m}, \sqrt{13} \mathrm{~m}

\newline

A) Is the triangle a right triangle? (type yes or no in the blank)_

\newline

B) Give the number proof for your answer in

Use Pythagorean Theorem: To determine if the triangle is a right triangle, we can use the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. $c^2 = a^2 + b^2$
Identify Longest Side: First, we need to identify the longest side which could be the hypotenuse. Since $\sqrt{13}$ is greater than $\sqrt{12}$ and $5$ , $\sqrt{13}$ m is the hypotenuse.
Check for Right Triangle: Now, we check if $5^2 + (\sqrt{12})^2$ equals $(\sqrt{13})^2$ .
Calculate $5^2$ : Calculate $5^2$ : $5^2 = 25$ .
Calculate $(\sqrt{12})^2$ : Calculate $(\sqrt{12})^2$ : $(\sqrt{12})^2 = 12$ .
Add Squares of Shorter Sides: Add the squares of the two shorter sides: $25 + 12 = 37$ .
Calculate $(\sqrt{13})^2$ : Calculate $(\sqrt{13})^2$ : $(\sqrt{13})^2 = 13$ .

More problems from Mean, variance, and standard deviation of binomial distributions

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and standard deviation

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\newline

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?

\newline

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rule and write your answer as a decimal. Round to the nearest thousandth if necessary.

\newline

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X

is a normally distributed random variable with mean

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and standard deviation

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\newline

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?

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Write your answer as a decimal rounded to the nearest thousandth.

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Complete the statement. Round your answer to the nearest thousandth.

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Y

is the number of desserts available in a randomly chosen restaurant.

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Is the random variable

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\newline

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Question

Which of the following functions are continuous for all real numbers?

\newline

g(x)=\ln (x)

\newline

f(x)=\frac{1}{x}

\newline

1

\newline

g

\newline

f

\newline

g

f

\newline

g

f

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Which of the following functions are continuous at

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\newline

g(x)=\sin (x+1)

\newline

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\newline

g

\newline

f

\newline

g

f

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g

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Posted 2 months ago

Question

g

be a continuous function on the closed interval

[-1,4]

g(-1)=-4

g(4)=1

\newline

Which of the following is guaranteed by the Intermediate Value Theorem?

\newline

1

\newline

g(c)=-3

for at least one

c

-1

4

\newline

g(c)=3

for at least one

c

-4

1

\newline

g(c)=-3

for at least one

c

-4

1

\newline

g(c)=3

for at least one

c

-1

4

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