"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as
x
100
.
Therefore we can write an equation as and solve for
x
:
x
100
=
5
6
100
×
x
100
=
100
×
5
6
100
×
x
100
=
500
6
x
=
83
.
¯
3
5
6
=
83
.
¯
3
%
or
83
1
3
%
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
_____
<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
__
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.
Order them from least to greatest
9514 1404 393
Answer:
3
Step-by-step explanation:
You can use your number sense to realize that 8/9 is between 3/4 and 1, so Tyrone can only get 3 whole pieces from his string.
__
If you like, you can do the division ...
(8/9)/(1/4) = (8/9)(4/1) = 32/9 = 3 5/9 . . . . . 3 whole pieces
Or, you can compare decimal values.
1 piece = 0.25 ft
2 pieces = 0.50 ft
3 pieces = 0.75 ft
4 pieces = 1.00 ft
String length = 0.888.... ft (more than 3; less than 4 pieces)
Answer: It might be a no answer. I don't know which one. I'm so sorry if I'm wrong.
