For this case, we can model the problem as a triangle with a right angle.
Where,
x, y: lengths of the sides of the triangle
d: hypotenuse of the triangle
We then have the following relationship:
Clearing d we have:
Answer:
A functions that would best model the situation above is:
D square root
Answer:
The price of the shirt is $7.50
The price of the pants is $18.50
Step-by-step explanation:
If you want to write something for your proof of work:
4x + 3x = 85.50
3 (4x + 3y ) = 3 (85.50)
12x + 9y = 256.50
12 × 7.50 = 90
9 × 18.50 = 166.50
ALSO for the last question:
12 × 7.50 = 90
20 × 18.50 = 370
370 + 90 = $460.00
No not really because 89,420 cant be bigger than 27
<h3>
Answer: 28</h3>
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Explanation:
Method 1
Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.
There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.
Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.
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Method 2
There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.
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Method 3
Use the nCr combination formula with n = 8 and r = 2
There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).
Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.