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Elena-2011 [213]
3 years ago
11

2. Problem: A hiker decided to climb Mt. Akyatan to set a world record as the first person to reach the summit. The foot of the

mountain is located at (-2, 1) while its summit is at point (-5, 8). There are factors to consider for him to reach the top in just 3 days. He must know the slope of the mountain, the distance from the foot to the summit, and the location of the base camp which is halfway from the foot of the mountain to the summit. What are the missing values for this world record to be successful?​
Mathematics
1 answer:
Nataly [62]3 years ago
3 0

Answer:

while its submit the way of the way of the other use

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The length that can be cut off from the three given pieces of wood equally to form a right triangle is 5 cm

Given parameters:

dimension of the three pieces of wood = 20 cm, 41 cm and 44 cm

To find:

  • the length that is cut off to form a right triangle

let the length that is cut off from each of the wood = y

From Pythagoras theorem, we will have the following equation.

(44-y)^2 = (20-y)^2 + (41-y)^2\\\\expand \ the \ equation \ as \ follows;\\\\1936 - 88y + y^2 = 400 - 40y + y^2  + 1681 - 82y + y^2\\\\simplify \ by \ collecting \ similar \ terms \ together\\\\(1936 - 400- 1681) + (-88y + 40y+ 82y) + (y^2 - 2y^2) = 0\\\\-145 +34y - y^2 = 0\\\\multiply \ through \ by \ (-1)\\\\y^2-34y + 145 = 0\\\\factorize \ the \ above \ quadratic\  equation\\\\y^2 -5y - 29y + 145 = 0\\\\y(y - 5) -29(y - 5)=0 \\\\(y -5)(y-29) = 0\\\\y = 5 \ \ \ or \ \ \ \ y = 29

Since the least measurement of one of the pieces of the wood is 20 cm, we cannot cut off 29 cm.

Thus, the highest amount we can cut off equally is 5 cm

learn more here: brainly.com/question/15808950

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