You are given a cone with width 2 inches and height 3 inches, and a cylinder with width 2 inches and height 7 inches. The volume of the cone is 3.14 cubic inches and the cylinder is 11 cubic inches.
You are missing part of the question
X ≥ 0
y ≥ 0
f(x, y) = 3x + 7y
f(0, 0) = 3(0) + 7(0)
f(0, 0) = 0 + 0
f(0, 0) = 0
3x + 2y ≤ 18 ⇒ 3x + 2y = 18 ⇒ 21x + 14y = 126
6x + 7y ≤ 42 ⇒ 6x + 7y = 42 ⇒ <u>12x + 14y = 84</u>
<u>9x</u> = <u>42</u>
9 9
x = 4²/₃
3x + 2y = 18
3(4²/₃) + 2y = 18
14 + 2y = 18
<u>- 14 - 14</u>
<u>2y</u> = <u>4</u>
2 2
y = 2
(x, y) = (4²/₃, 2)
f(x, y) = 3x + 7y
f(4²/₃, 2) = 3(4²/₃) + 7(2)
f(4²/₃, 2) = 14 + 9
f(4²/₃, 2) = 23
Answer:
The star equals 96
Step-by-step explanation:
The star will be equal to 5x-14 because they are vertically opposite.
The two exterior angles are supplementary. Set up the equation
5x - 14 + 3x + 18 = 180 Combine the terms on the left.
8x + 4 = 180 Subtract 4 from both sides
8x = 180 - 4 Combine
8x = 176 Divide by 8
x = 176 / 8
x = 22
===================
5x - 14
5*22 - 14
96
Answer:
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