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nordsb [41]
3 years ago
7

3

Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0

Answer:

B

Step-by-step explanation:

cause on T4L you have to round it to the nearest whole and I put B and it was correct.

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The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h
Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0
3 years ago
Is P(3,2) and Q(2,3)represent the same point​
nlexa [21]

Answer:no

Step-by-step explanation:

Because on a graph (2,3) means that the point is two along and three up while (3,2) means it is 3 along and two up.

6 0
3 years ago
Slove for g<br> 3/16= -5/4 +g
PSYCHO15rus [73]

Answer:

+g=3/16+5/4

the answer : 3/16+5/4

8 0
2 years ago
What number best completes both equations? 2/3÷3/10=_ _×3/10=2/3
dezoksy [38]
The answer would be 20/9
7 0
3 years ago
Please i need help .........
slava [35]

Answer:

14

Step-by-step explanation:

20-(4+14)/3

20-(18)/3

20-6

14

Hope this helped.

A Brainliest is always appreciated.

4 0
2 years ago
Read 2 more answers
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