Answer:
x=25
Step-by-step explanation:
25 degree angle is the same as x
3a+b+c
The perimeter is two times one side (to account for the opposite) and two times the adjacent side. So if the sides would be x and y, the perimeter would be 2*x + 2*y.
So, knowing that the sum is 16a+8b-6c, if we subtract the given side 5a+3b-4c from this, what remains is two times the "other" side:
16a+8b-6c - 2*(5a+3b-4c) =
16a+8b-6c -10a-6b+8c =
6a+2b+2c
half of that is
(6a+2b+2c)/2 = 3a+b+c
Answer:
1 /4
Step-by-step explanation:
Given that :
Let :
P(S) = probability of drawing a spade
Odds in favor of drawing a spade = 1:3 ; this could be interpreted as :
P(drawing a spade)/P(not drawing a spade) = 1:3
P(S) / P(S') = 1/ 3
P(S') = 1 - P(S)
P(S) / (1 - P(S)) = 1 / 3
Cross multiply :
3P(S) = 1 - P(S)
Collect like terms
3P(S) + P(S) = 1
4P(S) = 1
P(S) = 1/4
Hence, probability ratio of drawing a spade P(S) = 1/4
F(-1) = 2(-1)^2 + 8(-1)
= 2(1) + (-8)
= -6
The original price is $68. You can get this by doing 51 divided by 75 which gives you .68 then multiplying by 100 which is $68.