Find a solution for the equation. Assume that all angles are a cute angles. tan(3Y +32) = cot(Y+32°)
1 answer:
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Answer:
x = 9.5
Step-by-step explanation:
Given
=
( cross- multiply )
3(4x - 6) = 4(2x + 5) ← distribute parenthesis on both sides
12x - 18 = 8x + 20 ( subtract 8x from both sides )
4x - 18 = 20 ( add 18 to both sides )
4x = 38 ( divide both sides by 4 )
x = = 9.5
Answer:
The width and length of rectangle is 12.728 m
Step-by-step explanation:
Let the length of the rectangle = L
let the width of the rectangle = W
The subjective function is given by;
F(p) = 2(L + W)
F = 2L + 2W
Area of the rectangle is given by;
A = LW
LW = 162 ft²
L = 162 / W
Substitute in the value of L into subjective function;
Take the second derivative of the function, to check if it will given a minimum perimeter
Determine the critical points of the first derivative;
df/dw = 0
L = 162 / 12.728
L = 12.728 m
Therefore, the width and length of rectangle is 12.728 m