The value of y from the diagram is 9
<h3>Similar shapes</h3>
From the given figure, the shapes are similar, using the similarity theorem of triangles, you ill have;
6/10 = y/15
Cross multiply
10y = 15* 10
10y = 90
y = 90/10
y = 9
Hence the value of y from the diagram is 9
Learn more on similar shapes here: brainly.com/question/2644832
This is a combination in which you choose 4 from 10.
The formula is
combinations = 10! / 4! * (10-4)!
combinations = 10! / 4! * 6!
combinations = 10 * 9 * 8 * 7 * 6! / 4! * 6!
combinations = 10 * 9 * 8 * 7 / 4 * 3 * 2
combinations = 10 * 3 * 7
combinations = 210
Source:
http://www.1728.org/combinat.htm
Answer:
-2 < x < 35
Step-by-step explanation:
We have that the larger side has a larger opposite angle and the smaller sides and a smaller opposite angle.
The opposite angle of the 14 unit side is 37 °.
The opposite angle of the 13-unit side is (x + 2) °.
Since 13 <14, it would be:
x + 2 <37
we subtract 2 on both sides
x <35
The value of x must be less than 35.
Now, to form a triangle, the angle must be greater than 0.
x + 2> 0
we subtract 2 on both sides
x> -2
The value of x must be greater than - 2.
Therefore the answer would be:
-2 <x <35
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Formula
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Volume = Length x Width x Height
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Apply Formula
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Volume = 10 x 30 x 1/3 = 100 ft³
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Answer: 100 ft³
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