To calculate the volume of a prism you multiply the area of it's cross section by the length
Therefore
5 x 3= 15
(Area of the rectangle)
15x8= 120
(Volume of prism)
Answer:
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Step-by-step explanation:
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9514 1404 393
Answer:
132°
Step-by-step explanation:
Name the vertex of each angle the same as the angle letter. Name the intersection of the "horizontal" and "vertical lines" point Q.
Angle ZXQ is vertical to ∠x, so is the same measure.
Angle YQX is the value that makes the sum of angles in triangle XYQ be 180°. That is ...
∠YQX = 180° -51° -57° = 72°
This is also the measure of its vertical angle in the other triangle. Angle z is the sum of that vertical angle and 60°, so we have ...
∠z = 72° +60°
∠z = 132°
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<em>Additional comment</em>
The relations we used are ...
- vertical angles are congruent
- sum of angles in a triangle is 180°
- an exterior angle is equal to the sum of the remote interior angles
$135 + $15x is greater than or equal to $300
Answer:
LCM = x(x - 2)(x - 6)(x + 2).
Step-by-step explanation:
x^2 - 4x - 12 = (x - 6)(x + 2)
x^2 - 8x + 12 = (x - 2)(x - 6)
x^3 - 4x = x(x - 2)(x + 2)
Taking into account the common factors:
LCM = x(x - 2)(x - 6)(x + 2)