Answer:
B
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Answer:
The dimensions are height=4 inches, width=8 inches and lenght=12 inches.
Step-by-step explanation:
The volumen of a box is:
we don't know the width so let's assume it as x.
that gives us a cuadratic equation:
let's rerrangage it:
∞
we can obtain the value of x using the quadratic formula:
that formula gave us two results:
we have to take te possitive number, so the width is 8 inches and the length is 8+4=12 inches
height=4 inches
width=8 inches
lenght=12 inches
Volume=4*8*12=384 cubic inches.
Answer:
6m
Step-by-step explanation:
9m - (5m-2) =
5m-2= 3m
9m - 3m= 6m
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f(x) + n - translate the graph n units up
f(x) - n - translate the graph n units down
f(x + n) - translate the graph n units left
f(x - n) - translate the graph n units right
|f(x)| - reflect over x-axis for x < 0.
Graph g(x) = x
g(x + 2) = x + 2 → translate 2 units left
|g(x + 2)| = |x + 2| → reflect over x-axis for x < 0
|g(x + 2)| - 5 = |x + 2| - 5 → translate 5 units down
Answer:
2855.0
Step-by-step explanation:
there are several surface areas.
1. outside surface of the cylinder = circle circumference times height = 2*pi*r*height = 2*pi*14*14 = 1231.5
2. top and bottom of the cylinder = circle area times 2 = pi*r^2 * 2 = pi*14^2 *2 = also 1231.5
3. subtract the 2 cut out rectangles on the top and the bottom = 2* 6*14 = 168
4. add the areas of the inside walls of the cut out block.
there are 2 narrow rectangles = 2* 6*14 = 168
there are 2 squares = 2* 14*14 = 392
so, 1.+2.-3.+4. = 2855.0 (2855.00864...)