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Minchanka [31]
4 years ago
7

If PQ=21 cm and QR=5cm, then what are the possible lengths for PR so that line PQ, line QR, and line PR can form a triangle? exp

lain your reasoning
I have a pretty good idea what the answer is i just need it explained a smidge more.
Mathematics
1 answer:
Klio2033 [76]4 years ago
8 0
We know that PQ is 21 cm and QR is 5 cm. There are only 2 possible answer for this and you use only one formula. It's called the Pythagorean theorem. 

The first possible is this. If the hypotenuse(the longest side of a triangle) is PR, we do:
 a² + b² = c² ←Fill in the numbers
21² + 5² = c²
441 + 25 = c²
466 = c²
√466 = 21.12 cm←Possible length

The second possible is this:
5² + b² = 21²
25 + b² = 441
b² = 441 - 25
b² = 416
√416 = 20.4←Another possible answer
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3 0
3 years ago
A sofa regularly sells for 860. The sale price is 670.80. Find the percent decrease of the sale price from the regular price
andre [41]

Answer:

-22%

Step-by-step explanation:

The percent decrease can be found by subtracting the original amount from the sale price. Divide the result by the original price and multiplying the decimal by 100 for the percent.

670.80 - 860 = -189.2

-189.2/860 = -0.22

-0.22*100 = -22%

4 0
3 years ago
(2b) A rectangular prism measures 2 &amp; 2/5 inches by 3 &amp; 1/5 inches by 2 inches. How many cubes with edge length 1/5 inch
erastova [34]

Answer:

1920 cubes.

Step-by-step explanation

Turn both the mix numbers into improper fractions.

2 2/5 = 12/5

3 1/5 = 16/5

Then you will turn 1/5 into its reciprocal and multiply both the improper fractions by it. You can just casually multiply 2 and 5.

12/5 * 5/1 = 12

16/5 * 5/1 = 16

2 * 5 = 10

Next you multiply all together to get 1920 cubes.

(I could be missing a step. I apologize if I did.)

3 0
3 years ago
‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ​
Troyanec [42]

Answer:

5.5 pints is the answer to this

5 0
3 years ago
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3 years ago
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