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likoan [24]
2 years ago
14

Which numbers form a Pythagorean triple?

Mathematics
1 answer:
kipiarov [429]2 years ago
8 0

Answer:

A. 9, 12, 15

Step-by-step explanation:

9, 12, 15 is a set of numbers that form pythagorean triple because it satisfies the equation, a² + b² = c².

Where, c is the longest side while a and c are the two other legs of the triangle.

Thus:

9² + 12² = 15²

225 = 225 (this is true).

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Triangle ABC is congruent to triangle DEF. If DE = 41, EF = 23, DF = 36, and AB = 8x − 7, what is x? Round to the nearest tenth.
Nadya [2.5K]

The side AB is equal to the side DE. Then the value of x is 6.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Triangle ABC is congruent to triangle DEF.

If DE = 41, EF = 23, DF = 36, and AB = 8x − 7.

Then the side AB is equal to the side DE.

    AB = DE

8x - 7 = 41

    8x = 48

      x = 6

Then the value of x is 6.

More about the triangle link is given below.

brainly.com/question/25813512

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2 years ago
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Noah and Lin are marketing paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inc
Vadim26 [7]

Answer: r = 1.69 inches

              h = 2.15 inches

Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.

Volume of a cone is directly proportional to radius and height:

V=\frac{1}{3}\pi r^{2}h

They want the cones to hold the same volume of 9 cubic inches.

If height is 3:

9=\frac{1}{3}\pi r^{2}3

\pi r^{2}=9

r^{2}=2.864

r = 1.69 inches

When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.

If radius is 2:

9=\frac{1}{3}\pi (2)^{2}h

h=\frac{9(3)}{4 \pi}

h = 2.15 inches

If radius is 2 inches, height of the cone is 2.15 inches.

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3 years ago
Paul’s grandmother gave him a collection of 30 coins. Each month Paul adds 5 coins to his collection. Which inequality can be us
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Answer:

B

Step-by-step explanation:

  • He starts out with 30
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  • x represents the number of months

>60 means greater than 60

So the inequality would be 30 + 5x > 60

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Answer:

\frac{7}{20} or <em>0.35</em>

Step-by-step explanation:

\frac{3}{4} * \frac{7}{20} \\3*7=21\\4*15=60\\\frac{21}{60} \\

Now simplify.

\frac{21}{60} = \frac{7}{20}

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