P = 2(L + W)
P = 28
L = 2W - 1
28 = 2(2W - 1 + W)
28 = 2(3W - 1)
28 = 6W - 2
28 + 2 = 6W
30 = 6W
30/6 = W
5 = W ....width is 5 ft
L = 2W - 1
L = 2(5) - 1
L = 10 - 1
L = 9 <=== length is 9 ft
Answer:
the answer to the first question is 9/27, 5/27, 13/27
the answer to the second question is 27/126, 33/126, 20/126, 42/126
the answer to the last question is 32/44
Step-by-step explanation:
they way you solve the fist two questions you just add the numbers up and that will tell you your probability.
for the last question you take the number of players and subtract it by 12 to get the top number
Answer: 2/1
Step-by-step explanation:
24 divided by 12 equals: 2/1
For this case we must find the value of the variable of the following equation:
Subtracting 
from both sides:
Subtracting 4 from both sides:
Multiplying by 6 on both sides:
Answer:
You can either use the inverse function theorem or compute the general derivative using implicit differentiation. The first method is slightly faster.
The IFT goes like this: if f(x) is invertible and f(a) = b, then finv(b) = a (where "finv" means "inverse of f").
By definition of inverse functions, we have
f(finv(x)) = finv(f(x)) = x
Differentiating both sides of the second equality with respect to x using the chain rule gives
finv'(f(x)) * f'(x) = 1
When x = a, we get
finv'(b) * f'(a) = 1
or
finv'(b) = 1/f'(a)
Now let f(x) = sin(x), which is invertible over the interval -π/2 ≤ x ≤ π/2. In the interval, we have sin(x) = √3/2 when x = π/3. We also have f'(x) = cos(x).
So we take a = π/3 and b = √3/2. Then
arcsin'(√3/2) = 1/cos(π/3) = 1/(1/2) = 2
