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:
sup
Step-by-step explanation:
B. between 1.5 and 2
is the correct answer.....
HOPE IT HELPS YOU '_'
He worked 36 hours (9.57), and anything over that was over pay (14.36)
36 * 9.57 = 344.52
So, working his normal hours he got $344.52.
416.32 - 344.52 = 71.80
71.80/14.36 = 5
Therefore, he worked 5 hours of overtime.
Answer:
C and E are not on the line.
Step-by-step explanation:
Just substitute for the x and the y and see which ordered pair fits and which does not:
If Left side of the equation = right side then the point fits.
A. y = -3
-2x+5 = -2(4) + 5 = -3 So A is on the line
B. y = 9
-2(-2) + 5 = 9 So this point does lie on the line.
C. y = 1
-2(3) + 5 = -1 No.
D. y = 7
-1(-1) + 5 = 7 YES.
E. y = 1
-2(1) + 5 = 3 NO.
