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s344n2d4d5 [400]
3 years ago
9

A triangle has sides with lengths of 8 inches, 15 inches, and 17 inches. Is it a right triangle?

Mathematics
2 answers:
zysi [14]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

Pythageron Theorem:

a^2+b^2=c^2

a and b are the legs, or the 2 shorter lengths. (8 and 15)

c is the hypotenuse, or the longest length (17)

8^2+15^2=17^2

64+225=289

289=289

Since the statement is true, it is a right triangle

Hope this helps! :)

In-s [12.5K]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

A square plus b square equal c square

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The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hou
o-na [289]

This question s incomplete, the complete question is;

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.

There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour  

Answer:

The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Step-by-step explanation:

Given the data in the question;

let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively

so

x + y = 55  ----------------equ1

x = 55 - y ------------------qu2

also

15x + 30y = 1050

x + 2y = 70 --------------equ3

input equ2 into equ3

(55 - y) + 2y = 70

- y + 2y = 70 - 55

y = 15

input value of y into equ1

x + 15 = 55

x = 55 - 15

x = 40

Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

8 0
3 years ago
X<br> - 78.3<br> = -66.5<br> -66.5 -<br> =
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Answer:x= -54.7

Step-by-step explanation:

-66.5-66.5= -133+ 78.3= -54.7

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3 years ago
Solve the following equation: <br>(n + 1) + 3(n - 1) = 2(n - 1)(n + 1)​
Mnenie [13.5K]

Answer:

n = 0, n =2

Step-by-step explanation:

Given

(n + 1) + 3(n - 1) = 2(n - 1)(n + 1) ← distribute parenthesis on both sides

n + 1 + 3n - 3 = 2(n² - 1), that is

4n - 2 = 2n² - 2 ( subtract 4n - 2 from both sides )

0 = 2n² - 4n ← factor out 2n from each term )

0 = 2n(n - 2)

Equate each factor to zero and solve for n

2n = 0 ⇒ n = 0

n - 2 = 0 ⇒ n = 2

7 0
3 years ago
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