Answer:
y = √55
Step-by-step explanation:
All the triangles are similar, so the ratio of short side to hypotenuse is the same for all:
5/y = y/(5+6)
y^2 = 55
y = √55
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<em>Comment on the geometry</em>
There are three "geometric mean" relationships that apply to this geometry.
- the altitude BD is the geometric mean of BC and BA (√30)
- the long side of the large triangle is the geometric mean of the longer segment of the hypotenuse and the whole hypotenuse (x = √66)
- the short side of the large triangle is the geometric mean of the shorter segment of the hypotenuse and the whole hypotenuse (y = √55)
If you were aware of the last of these relationships, you could write down the answer without any "work."
y = √(5(5 +6)) = √55
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The geometric mean is the n-th root of the product of n numbers. When there are 2 numbers, it is the square root of their product.
Answer: the slope is 2
Explanation:
The graph goes up 2 and over 1. When finding slope the formula is rise/run
Answer:
52
Step-by-step explanation:
A cubical box without a top is 4 cm on each edge containing 64 identical 1 cm cubes.
We have to find the number of small cubes that actually touch the box.
Now, there are 4 layers of 16 cubes from bottom to top.
In the bottom-most layer, all the 16 small cubes will touch the bottom of the large cube.
Again, from the top three layers, only the outer small cubes will touch the sides of the large cube.
So, there are 12 small cubes in each top three layers that will touch the large cube.
Hence, in total there will be (16 + 12 ×3) = 52 small cubes that actually touch the large cube box. (Answer)
4/7m = 2/7(2m + 1)
4/7m = 4/7m + 2/7
4/7m - 4/7m = 2/7
0 = 2/7 (incorrect)
no solution
