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liberstina [14]
3 years ago
8

The hypotenuse of a right triangle is 8 cm longer than the longer leg. The shorter leg is 17 cm shorter than the longer leg. Fin

d the length of the longer leg of the triangle.

Mathematics
2 answers:
balu736 [363]3 years ago
5 0

Answer:

  45 cm

Step-by-step explanation:

Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...

  (x +8)^2 = x^2 +(x -17)^2

  x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses

  0 = x^2 -50x +225 . . . . . put in standard form

  0 = (x -45)(x -5) . . . . . . . . factor

Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.

The length of the longer leg of the triangle is 45 cm.

Alik [6]3 years ago
5 0

Answer:45

Step-by-step explanation:

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6 0
3 years ago
Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first
Bumek [7]

A function assigns the values. The list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The rate at which the candle burns down is 0.5 inches per hour. Now, if we substitute the value of the point (0,9) in the function of a line, and the rate as well, we will get,

y = mx +c

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Now, the equation that can represent the height of the candle at any hour after it is lit will be,

y= -0.5x+9

substitute the value of x as 1, 2, 3, 4, 5, and 6 to get the value of y and form ordered pairs.

  • y=-0.5(1)+9 = 8.5 inches  ⇒ (1,8.5)
  • y=-0.5(2)+9 = 8 inches  ⇒ (1,8)
  • y=-0.5(3)+9 = 7.5 inches  ⇒ (1,7.5)
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Hence, the list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).

Learn more about Function:

brainly.com/question/5245372

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8 0
2 years ago
What is the approximate circumference of a circle with a radius of 30 inches? Use π ≈ 3.14.
stich3 [128]
Given:
radius = 30 inches

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C = 188.40 inches

Answer is Choice B. 188.4 inches.
3 0
3 years ago
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What is the value of x will mark brain list  20 extra points
miskamm [114]
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4 0
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Shkiper50 [21]

Answer:

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Step-by-step explanation:

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