Answer: 48, 25%, 125 , 60, 80
Step-by-step explanation:
This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2
Hope this helps!!
You would multiply 100 by 6 to get the 6 away from m. this leaves m on one side of the equal sign and 6•100 on the other. multiply that out, which is 600. so m=600.
Answer:
Step-by-step explanation:
Remark
The wholesale price of the shoes is 125 dollars
The retailer marks it uu to 35% more to the wholesale price.
So the price is now 125 + 35% * 125 dollars
That amount is 125 + 35/100 * 125 = 125 + 43.75 = 168.75
The government wants its cut of 6.5% of the selling price
So the final price is 168.75 + 168.75 * 6.5/100
The final price is 168.75 + 10.97 = 179.72
Answer: A customer pays 179.72 dollars.
