Answer:
The volume of the figure is equal to
or
Step-by-step explanation:
we know that
The volume of the composite figure is equal to the volume of a cone plus the volume of a cylinder
step 1
Fin the volume of a cone
The volume of a cone is equal to
we have
substitute
step 2
Find the volume of the cylinder
The volume of the cylinder is equal to
we have
substitute
step 3
Find the volume of the figure
Convert to mixed number
<span>Cosine and Sine are related by the formula cos(x)= sin(x+90). Setting x+90 equal to 75 results in x=-15, Therefore, cos(-15) = sin (75). Since cos is an even function, cos(15)=cos(-15)= sin(75).</span>
Step-by-step explanation:
L = length
W = width
L = W + 9
A = 112 = LW = (W+9)W
So,
W2 + 9W = 112
W2 + 9W - 112 = 0
Factoring
(W-7)(W+16) = 0
W = 7, -16
We discard W = -16, since a measurement cannot be negative.
W = 7
And since L = W + 9, then L = 7 + 9 = 16
This is a 16x7 rectangle
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