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3 years ago

A triangle has sides that measure 5 units, 12 units,

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

7 0

Answer:

The converse of pythagorean theorem.

Step-by-step explanation:

The converse of pythagorean theorem basically says that if the triangle doesn't equal a² + b² = c², then it is not a right triangle. 5² = 25. 12² = 144. 13² = 169. 144 + 25 = 169. The answer is yes, it is a right triangle.

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Samuel collected 30 signatures from fifth-grade students at his school. He noticed that 3/5 of the signatures were done in penci

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Answer:

30 / 5 = 6.

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Step-by-step explanation:

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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

$\frac{1}{36}$

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1 year ago

The perimeter of an equilateral triangle is 6 inches more than the perimeter of a square, and the side of the triangle is 4 inch

soldier1979 [14.2K]

Answer:

The length of the side of the triangle is 10 inches.

Step-by-step explanation:

Let p = perimeter of the equilateral triangle

Let P = perimeter of the square

Let s = length of side of the triangle

Let S = length of side of the square

"The perimeter of an equilateral triangle is 6 inches more than the perimeter of a square"

p = P + 6 Equation 1

"the side of the triangle is 4 inches longer than the side of the square"

s = S + 4 Equation 2

We have 2 equations and 4 unknowns. We need two more equations. We use the definition of perimeter to get the other two equations.

For an equilateral triangle,

p = 3s Equation 3

For a square,

P = 4S Equation 4

Substitute p and P of Equation 1 with equations 3 and 4. Then write equation 2.

3s + 4S = 6

s = S + 4

Now we have a system of 2 equations in 2 unknowns. We can solve for s and S. We can use the substitution method. Solve the second equation for S.

S = 4 - s

Substitute S = 4 - s into equation 3s + 4S = 6.

3s + 4(4 - s) = 6

3s + 16 - 4s = 6

-s = -10

s = 10

Answer: The length of the side of the triangle is 10 inches.

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3 years ago

What is the place value of the 5 in 59.085

dangina [55]

The 5 in 59 is tens and the 5 in .085 is thousandths.

Good luck!

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3 years ago