Answer:
Volume = 66 cm³
Step-by-step explanation:
Area of the oblique triangular prism = Area of the triangular base × Vertical height from the base
From the figure attached,
Area of the triangular base = 
= 
= 6 cm²
Vertical height of the given oblique prism = 11 cm
Volume of the given oblique prism = 6 × 11
= 66 cm³
Answer:
10m
Step-by-step explanation:
<u>Perimeter</u> means adding up all of the sides of a shape.
One property of a square is that <u>all lengths of a square are the same</u>.
We also know squares have <u>4 sides</u>.
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Lets set up an expression to solve the length for each side with variable S representing the length of a side:
4 * S = 40
Divide each side by 4:
S = 10
Therefore, each side of the square has a length 10m
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1. Calculate the volume of entire cube as if it was a solid rectangle:
Length x width x height=
20x16x12 = 3,940 cubic inches
2. Calculate the volume of the "missing"
Piece and subtract:
Length x width x height=
20x8x6 = 960 cubic inches
(notice you can find the height of the missing piece by subtracting 12-6)
So your answer is 3,940-960 = 2,980 cubic inches inside the steps
Answer:
<u>Point C at (-18/7)</u>
Step-by-step explanation:
Point A is at -6 and point B is at 2.
So, the distance between A and B = 2 - (-6) = 8
point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.
Let the distance AC = x
∴ BC = 8 - x
AC : CB = 3 : 4
∴
Using cross multiplication
3 (8-x) = 4x
24 - 3x = 4x
24 = 7x
x = 24/7
So, Point C = -6 + 24/7 = -18/7
Point C at (-18/7)
M-(M x 0.16) and M-(.84) because the first one you need to multiply to find what 16% of m is then subtract that by m for the second one you subtract.
