Answer:
Part A = 64 feet
Part B = 79 feet
Step-by-step explanation:
Part A
10 × 2 = 20 = Diameter
Formula is C = π × diameter
20 × π = 62.8318530718 feet = 64 feet
Part B
25 × 2 = 50
Same formula
50 × π = 157.079632679 feet
157.079632679 ÷ 2 = 78.5398163395 feet = 79 feet
divide by 2 because it is a semi circle
Hope his helped :)
Answer:
x = -11
m<B = -43
m<C = -22
Step-by-step explanation:
To solve for <em>x</em>, solve (3x-10) + (2x) + 65 to get 5x+55. Simplify to 5x = -55. This can simplify further to x = -11. Insert -11 as x into the angles.
I hope this is correct and helps!
y=4
the values of x changes while the y doesn't so it's y=4
Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.
Combined Area = (2x + 26)*(2x + 8) = 1008
2x*(2x + 8) + 26*(2x + 8 ) = 1008
4x² + 16x + 52x + 208 = 1008
4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0. Divide through by 4.
x² + 17x - 200 = 0 . This is a quadratic equation.
Multiply first and last coefficients: 1*-200 = -200
We look for two numbers that multiply to give -200, and add to give +17
Those two numbers are 25 and -8.
Check: 25*-8 = -200 25 + -8 = 17
We replace the middle term of +17x in the quadratic expression with 25x -8x
x² +17x - 200 = 0
x² + 25x - 8x - 200 = 0
x(x + 25) - 8(x + 25) = 0
(x+25)(x -8) = 0
x + 25 = 0 or x - 8 = 0
x = 0 -25 x = 0 + 8
x = -25 x = 8
The width of the path can not be negative.
The only valid solution is x = 8.
The width of the path is 8 meters.
Answer:
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Hope this helps you!
