10x² - 37x + 33
10x² - 22x - 15x + 33
(2x - 3)(5x - 11)
Answer:
1
Step-by-step explanation:
Answer:
17 feet
Step-by-step explanation:
Let x represent the shorter leg of the triangle. Then the longer leg is (2x-1) and the area is ...
A = (1/2)bh = (1/2)(x)(2x-1) = 60
2x^2 -x = 120 . . . . multiply by 2 and simplify
2x^2 -x -120 = 0 . . . . subtract 120
(x -8)(2x +15) = 0 . . . . factor. The positive solution is x=8.
The square of the hypotenuse is ...
hypotenuse^2 = x^2 + (2x -1)^2 = 8^2 + 15^2 = 289
hypotenuse = √289 = 17
The length of the hypotenuse is 17 feet.
Answer:
x = 117.9°
Step-by-step explanation:
We require to find the size of the angle x
Given the law of cosines
c² = a² + b² - 2ab cosC
Rearrange to give cosC in terms of the sides
Add 2ab cosC to both sides
c² + 2ab cosC = a² + b² ( subtract c² from both sides )
2ab cosC = a² + b² - c² ( divide both sides by 2ab )
cosC =
here a = 55, b = 50 and c = 90 and C = x
cosx =
=
= ← - indicates angle is obtuse
x = ( ) ≈ 117.9°
Answer:
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Step-by-step explanation:
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