There are 1 rectangle and 2 triangles.
The area of the rectangle is 5 x 7 =35
The are of the triangle is 7 x 2 = 14(1/2) = 7
There are 2 triangles, so 7 x 2 = 14
14 + 35 = 49
49 is your answer
hope this helps
Answer:
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Step-by-step explanation:
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Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6
a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³
b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long
Answer:
X ≥9 years after 2009.
Step-by-step explanation:
Y=4x+4
Y-4=4x
X=(Y-4)/4
Y=number of U.S. households, in millions.
Y≥40
Y-4≥36
(Y-4)/4≥9
So, X≥9.
Answer:
B
Step-by-step explanation:
Since the triangle is right use the tangent ratio to find x
tan64° =
=
Multiply both sides by 11
x = 11 × tan64° = 22.55 → B