Answer:
c
Step-by-step explanation:
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Answer: x = 120 and y = 150
(x / y) = (4 / 5)
1) 5x = 4y
( (x + 20 ) / (y - 20) ) = (14 / 13)
cross multiply fractions
13(x + 20) = 14(y - 20)
13x + 260 = 14y - 280
2) 13x - 14y = -540
solve equation 1) for x
x = 4y/5
now substitute for x in equation 2)
13(4y/5) - 14y = -540
multiply both sides of = by 5
52y - 70y = -2700
-18y = -2700
y = 150
x = 4(150) / 5 = 120
x = 120 and y = 150
check answers (proof):
120 / 150 = 12 / 15 = 4 / 5
(120+20) / (150-20) = 140 / 130 = 14 / 13
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:
The radius of the cylinder is meters.
Step-by-step explanation:
To determine:
What is radius?
Information Fetching and Solution Steps:
The volume of the cylinder = 1,921.68 cubic meters
The height = 17 m
As the formula of the volume of the cylinder
The radius can be determine as
meters
Therefore, the radius of the cylinder is meters.
Keywords: radius of the cylinder, volume of cylinder
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Answer:
5/9
Step-by-step explanation:
The given is students that failed the test. 5 students completed the homework and failed the test and there is a total of 9 students who failed the test. So, the answer would be 5/9