MATHEMATICS MIDDLE SCHOOL

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.
O
O
O
O
3.1 inches
3.2 inches
10.0 inches
15.7 inches

Answers

Answer 1
Answer: Answer:

The difference between the two possible  lengths of the third side of the triangle is:

                            3.2 inches

Step-by-step explanation:

The lengths of two sides of a right triangle are 5 inches and 8 inches.

This means that the third side could be the hypotenuse of the triangle or it could be a leg of a triangle with hypotenuse as: 8 inches.

Let the third side be denoted by c.

  • If the third side is the hypotenuse of the triangle.

Then by using the Pythagorean Theorem we have:

  • and if the third side i.e. c is one  of the leg of the triangle with hypotenuse 8 inches then the again by using Pythagorean Theorem we have:

Hence, the difference between the two possible lengths of the third side is:

which to the nearest tenth is: 3.2 inches

Answer 2
Answer:

Answer:

B) 3.2 inches

Step-by-step explanation:

did it on edge


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When 40% of the girls left the school assembly, the ratio of the number of boys to girls became 3 to 4. If there were w girls when the assembly started, what was the total number of boys when the assembly started?

Answers

I am pretty sure the answer is 15 boys at the beginning of the assembly.
That would mean that there were 28 girls there, and if 40% of them left, which would mean that 8 left, leaving 20 girls. This would leave the assembly with a 3:4 ratio of boys to girls.
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So far, Carmella has collected 14 boxes of baseball cards. There are 315 cards in each box. Carmella estimates that she has about 3,000 cards, so she buys 6 albums that hold 500 cards each. a. Will the albums have enough space for all of her cards? Why or why not?
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Answers

Answer:

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Step-by-step explanation:

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Number of boxes = 14

b) Total number of cards =  Number of boxes × Number of cards in 1 box

=

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