Determine the value of k that partitions a segment into a ratio of 1: 4.
1 answer:
Given the points A(-1<span>, 2) and B(7, 8), </span>determine<span> the coordinates of point P on directed line </span>segment<span> that </span>partitions<span> in the </span><span>ratio 1</span>/3<span>. Solution: Method </span>1<span>: A </span>1/3 ratio<span> divides the </span>segment into 1<span> + 3 = </span>4<span> equal parts. The direction is from A to B, so use the </span>ratio k<span> from A/P which is </span>1/4<span> of the line </span>segment<span>. Hope this helps
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A figure that contains a right triangular prism and cuboid.
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The volume of the figure.
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The dimensions of cuboid are 16 in, 7 in and 3 in.
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The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is
The volume of a prism is:
Where, B is the base area and h is the height of the prism.
The volume of combined figure is:
Therefore, the volume of the figure is 381 cubic in.