Answer:
1782 cm³
Step-by-step explanation:
First, you measure the volume of the cuboid as a whole which is length x breadth x height, 9 x 12 x 18 = 1944 cm³. Then measure the volume occupied by the space, 3 x 3 x 18 since the hole runs along the entire length = 162 cm³.
Then you subtract the volume occupied by the hole from the volume of the cuboid in total, 1944 - 162 = 1782 cm³
Answer:
(-6, -4).
Step-by-step explanation:
When you reflect coordinates over the y-axis, the x-coordinates remain the same, but the y-coordinates become their additive inverse.
The original coordinates for F are (6, -4).
The new coordinates for F would be F' (-6, -4).
Answer:
z=1.96
Step-by-step explanation:
Using normal distribution table or technology, 97.5% corresponds to z=1.959964, generally denoted z=1.96, or 1.96 standard deviations above the mean.
(above value obtained from R)
Answer:
Unit Cube - Definition with Examples. A unit cube, sometimes called a cube of side 1, is a cube whose sides are 1 unit long. The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units.
The function is y = 1/2 x² - 2 x and the base of the triangle cannot be 3 cm.
let the base of the triangle be x
Height of the triangle = x - 4
Area of triangle = 1/2 × base × height
Area = 1/2 × x × (x-4)
Area = 1/2 (x² - 4x)
Area = 1/2 x² - 2 x
We can also write it as a function:
y = 1/2 x² - 2 x
Domain = (3 , ∞)
Range = [0, ∞)
Since 3 is not included in the domain, base of the triangle cannot be 3 cm.
Therefore, the function is y = 1/2 x² - 2 x and the base of the triangle cannot be 3 cm.
Learn more about function here:
brainly.com/question/2456547
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