A right prism has a rhombus as a base. the height of the prism is 6 inches and the volume is 144 cubic inches. which could be th
2 answers:
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
Volume of right prism = 144 cubic inches
Right prism has a rhombus as a base.
Height of the prism = 6 inches
As we know the formula for "Volume of right prism":
By option we get that
lengths of diagonals could be 6 inches by 8 inches
∵ 8×6 = 48 in²
Hence, Third option is correct.
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Answer: We are given:
We need to find the z scores for the following vacation expense amounts:
$197, $277, $310
We know that z score formula is:
When , the z score is:
When , the z score is:
When , the z score is:
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Answer:
The new coordinates of point D(-4, -4) after the dilation by a scale factor of 1/2 will be: D'(-2, -2)
Step-by-step explanation:
The rectangle ABCD on the grid shown is attached below.
From the grid, it is clear that the coordinates of point D are (-4, -4)
i.e. D(-4, -4)
As we are told that the figure is to be dilated from the origin.
A dilation tends to stretch or shrink the original figure, depending upon scale factor.
- If scale factor > 1, then the image gets enlarged
- If the scale factor < 1, the image gets reduction
When we dilate a figure from the origin by any scale factor, the new coordinates of the image can be obtained by multiplying the scale factor with the coordinates of the original object/figure.
As the the coordinates of point D are (-4, -4). If we dilate the figure by a scale factor of 1/2, the new new coordinates of point D would be:
P(x, y) → P'(1/2x, 1/2y)
D(-4, -4) → D'(-4/2, -4/2) or D'(-2, -2)
Therefore, the new coordinates of point D(-4, -4) after the dilation by a scale factor of 1/2 will be: D'(-2, -2)
