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.
Your total profit is $13,000. First you bought the 200 items for $20 each. That costs $4,000. Then you sold $50 of the items at $100 each. That’s $5,000. So already you’re in the green. You’ve already made $1,000 profit. Then you sold the rest of the items at a 20% discount. 150 items multiplied by $80 is $12,000. $12,000 plus the $1,000 equals $13,000 total.
Answer:
No
Step-by-step explanation:
He's only won 50% of the games bc he lost one and one one. 1/2
For this case we have that by definition, the slope of a line is given by:
![m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By_%20%7B2%7D%20-y_%20%7B1%7D%7D%20%7Bx_%20%7B2%7D%20-x_%20%7B1%7D%7D)
Two points are needed through which the line passes:
![(x_ {1}, y_ {1}): (- 1.75; 14.5)\\(x_ {2}, y_ {2}}: (- 1; 4.4)](https://tex.z-dn.net/?f=%28x_%20%7B1%7D%2C%20y_%20%7B1%7D%29%3A%20%28-%201.75%3B%2014.5%29%5C%5C%28x_%20%7B2%7D%2C%20y_%20%7B2%7D%7D%3A%20%28-%201%3B%204.4%29)
Substituting:![m = \frac {4.4-14.5} {- 1 - (- 1.75)}\\m = \frac {-10.1} {0.75}\\m = -13.46666666](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7B4.4-14.5%7D%20%7B-%201%20-%20%28-%201.75%29%7D%5C%5Cm%20%3D%20%5Cfrac%20%7B-10.1%7D%20%7B0.75%7D%5C%5Cm%20%3D%20-13.46666666)
Rounding:
![m = -13.47](https://tex.z-dn.net/?f=m%20%3D%20-13.47)
Answer:
![m = -13.47](https://tex.z-dn.net/?f=m%20%3D%20-13.47)
Total= Car Cost + (Car Cost * Tax %)
Total= $16,800 + ($16,800 * 6.25%)
convert % to decimal form; divide % by 100
Total= $16,800 + ($16,800 * 0.0625)
multiply inside parentheses
Total= $16,800 + $1,050
Total= $17,850
ANSWER: The total cost for the used car with tax is $17,850.
Hopd this helps! :)