. Choose the correct answer to 318 x 6. 1,808 1,906 1,918 1,908
2 answers:
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A) The length of the longer leg is x-1
b) Based on the area, the other leg is 2*30/(x -1). Based on the Pythagorean theorem, the other leg is √(x^2 -(x -1)^2).
c) Equating the two expressions for the shorter leg, we have
.. 60/(x -1) = √(2x -1)
.. 3600/(x -1)^2 = (2x -1)
.. (2x -1)(x^2 -2x +1) = 3600
.. 2x^3 -5x^2 +4x -3601 = 0
d) There is one positive real root, at x=13. A graphical solution works well.
The three sides of the triangle are 5 in, 12 in, 13 in.
_____
5-12-13 is a well-known Pythagorean triple. It is the next smallest one after 3-4-5.
b) Based on the area, the other leg is 2*30/(x -1). Based on the Pythagorean theorem, the other leg is √(x^2 -(x -1)^2).
c) Equating the two expressions for the shorter leg, we have
.. 60/(x -1) = √(2x -1)
.. 3600/(x -1)^2 = (2x -1)
.. (2x -1)(x^2 -2x +1) = 3600
.. 2x^3 -5x^2 +4x -3601 = 0
d) There is one positive real root, at x=13. A graphical solution works well.
The three sides of the triangle are 5 in, 12 in, 13 in.
_____
5-12-13 is a well-known Pythagorean triple. It is the next smallest one after 3-4-5.
Your answer is 3/5, the picture below shows how sin cos tan work!
Pls. see attachment.
9√2 → 12.73
sin θ = opposite / hypotenuse
sin 45° = opposite / 12.73
0.707 * 12.73 = opposite
9 = opposite
cos θ = adjacent / hypotenuse
cos 45° = adjacent / 12.73
0.707 * 12.73 = adjacent
9 = adjacent
Area of a kite = pq/2
p = 9 + 9 = 18
q = 9 + 6 = 15
Area = (18m*15m) / 2
Area = 270m² / 2
Area = 135 m²
The area of the kite is 135 m².
9√2 → 12.73
sin θ = opposite / hypotenuse
sin 45° = opposite / 12.73
0.707 * 12.73 = opposite
9 = opposite
cos θ = adjacent / hypotenuse
cos 45° = adjacent / 12.73
0.707 * 12.73 = adjacent
9 = adjacent
Area of a kite = pq/2
p = 9 + 9 = 18
q = 9 + 6 = 15
Area = (18m*15m) / 2
Area = 270m² / 2
Area = 135 m²
The area of the kite is 135 m².