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xxTIMURxx [149]
3 years ago
13

Pythagorean theorem:

Mathematics
2 answers:
djverab [1.8K]3 years ago
8 0

Answer:

This does not make a right triangle because according to the pythagorean theorem, a^2+b^2=c^2. 16+36 does not equal 64, thefore, the triangle with the following sides is not a right triangle.

Tanya [424]3 years ago
6 0

Answer/Step-by-step explanation:

This does not make a right triangle because the Pythagorean Theorem shows that 4^2 + 6^2 does not equal 8^2.

16 + 36 = 64

52 doesn't equal 64.

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divide total miles by total time:

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3 years ago
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The golden ratio is a solution to a quadratic equation.
Crank

Answer:

Below.

Step-by-step explanation:

a.    Φ^2 − Φ − 1 = 0

Φ2 − Φ = 1

(Φ - 0.5)^2 - 0.25 = 1

(Φ - 0.5)^2 = 1.25

Φ - 0.5 = √(1.25)      (We only take the positive root).

Φ  = 0.5 + √(1.25)

b. I used Completing the square.

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3 years ago
The height of a triangular window is 3 feet less than its base. The area the window is 20 ft.? find the dimensions of the window
Ivenika [448]

Let us assume base of the window = b feet.

Height is 3 feet less than base, that is = (b-3).

Given area of the triangle = 20 feet square.

We know formula for area of a triangle:

Area = \frac{1}{2} × Base × Height

Plugging values in formula, we get

20 = \frac{1}{2} b \times (b-3)

\mathrm{Multiply\:both\:sides\:by\:}2

40=b\left(b-3\right)

40=b^2-3b

b^2-3b-40=0

Factoring quadratic, we get

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b=8.

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Answer:

1 7/8

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3/8 * 5/1 = 15/8

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15/8 = 1 with a remainder of 7

<-- Then convert 15/8 to a mixed number by dividing 15 by 8

15/8 = 1 7/8

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2 years ago
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