The sides of a triangle are 30, 18, and 24. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.

Mathematics

1 answer:

Shtirlitz [24]2 years ago

5 0

Answer:

a right triangle

is equal to

Step-by-step explanation:

Pythagorean's theorem is a²+b²=c² with c being the longest sides. If it is true then it is a right triangle.

18² + 24² = 30²

324+576=900

This is true so the triangle is a right triangle

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Each letter of the word "thunderstorm" has been written on a separate slip of paper and put into a box. Find the probability of

xxTIMURxx [149]

SOLUTION

From the question, we want to find the probability of selecting a slip of paper with the letter t on it, then selecting the letter r, with replacement.

This means the probability of selecting t and r.

That is

$P(t)\times P(r)$

There are 12 letters (total outcomes). And there are 2r and 2t.

So probability becomes

$\begin{gathered} \frac{possible\text{ outcome}}{\text{total outcome }} \\ P(t)=\frac{2}{12} \\ P(r)=\frac{2}{12} \\ P(t)\times P(r)=\frac{2}{12}\times\frac{2}{12} \\ =\frac{1}{6}\times\frac{1}{6} \\ =\frac{1}{36} \end{gathered}$

Hence the answer is