The discount is 15% off. I started with subtracting $46.75 from $55. I got an $8.25 difference. I started with taking off 30% and got 16.5 which didn't match the 8.25 I got earlier. Then I went to 25% and then I went to 15%.
Answer: The new ratio will be 1/4
Explanation: The initial ratio of losses to wins is 3 to 2. If we sum the numer of losses and wins 3 + 2 = 5 games, that means they loss 3 out of 5 games , and they win 2 out of 5 games.
So if they had won twice as many of the games, that is 2*2=4. And since the number of games is the same ( 5 ), then they would have won 4 games and loss only 1.
So the new ratio of losses to wins will be 1 to 4, or expressed in a fraction: 1/4
Answer:
![\frac{5+-\sqrt{53} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%2B-%5Csqrt%7B53%7D%20%7D%7B2%7D)
Step-by-step explanation:
in the equation given these are the values:
a=1 b= -5 c= -7
if we plug this in the quadratic formula ![\frac{-(-5)+-\sqrt{(-5)^2-4(1)(-7)} }{2(1)}](https://tex.z-dn.net/?f=%5Cfrac%7B-%28-5%29%2B-%5Csqrt%7B%28-5%29%5E2-4%281%29%28-7%29%7D%20%7D%7B2%281%29%7D)
this is simplified to ![\frac{5+-\sqrt{53} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%2B-%5Csqrt%7B53%7D%20%7D%7B2%7D)
hope this helped
Answer:
9 in
Step-by-step explanation:
For an n-sided polygon, the length of the apothem is ...
a = r·cos(180°/n)
We assume your problem statement is saying the radius is 10 inches. For a hexagon, n=6 and we have ...
a = (10 in)cos(30°) ≈ 8.66 in
Rounded to the nearest inch, the apothem is 9 in.