x=43
you subtract 47-90. 90 because 47 is part of a right angel.
x is the same as the missing part of the right angle including 47
hopes this helps
Answer:
58
Step-by-step explanation:
6*8+2*2+3*2=58
Answer:
1/2
Step-by-step explanation:
3/6 fruits are bananas that means that there is a 3/6 chance that a banana will be selected. 3/6 simplifies to 1/2.
A) 26.7%
B) 40%
The probability of A is given by 4/6(2/5), since this is done without replacement; there are 4 blue marbles out of 6. When the first one is gone, there are 2 red out of 5 remaining.
The probability of B is given by 4/6(3/5), since this is done without replacement; there are 4 blue marbles out of 6. When the first one is gone, there are 2 blue out of 5 remaining.
The volume of the cylinder is:
V = pi * r ^ 2 * h = 64
The surface area is:
A = 2 * pi * r ^ 2 + 2 * pi * r * h
We write the area as a function of r:
A (r) = 2 * pi * r ^ 2 + 2 * pi * r * (64 / (pi * r ^ 2))
Rewriting:
A (r) = 2 * pi * r ^ 2 + 2 * (64 / r)
A (r) = 2 * pi * r ^ 2 + 128 / r
Deriving:
A '(r) = 4 * pi * r - 128 / r ^ 2
We equal zero and clear r:
0 = 4 * pi * r - 128 / r ^ 2
128 / r ^ 2 = 4 * pi * r
r ^ 3 = 128 / (4 * pi)
r = (128 / (4 * pi)) ^ (1/3)
r = 2.17 cm
The height is:
h = 64 / (pi * r ^ 2)
h = 64 / (pi * (2.17) ^ 2)
h = 4.33 cm
Answer:
The dimensions giving the minimum surface area are:
r = 2.17 cm
h = 4.33 cm
