Answer:
2656.31 
Step-by-step explanation:
To calculate the surface area, we need to find the area of all the faces, and add them together.
The faces of the cylinder are: the rectangular base, the curved top, and the two semicircles on the side.
Rectangular base:
A = length x width
A = 29.3 x 16.2
A = 474.66
Two semicircles:
A = 
x 
(I'm using the formula for a circle, because the two semicircles are identical, so together they form a circle)
radius = 29.3/2 = 14.65
A = x 
A = 674.256 (rounded to 3 decimal places)
Curved top:
The curved top, when flattened out, becomes a rectangle with a length of 16.2. The width is equal to half the circumference of the circle formed by the two semicircles.
To find the width, use the circumference (C) formula.
C = x diameter
diameter = 29.3
C = x 29.3
C = 93.049 (rounded to 3 DP)
Area (of curved top) = length x width
A = 16.2 x 93.049
A = 1507.394 (rounded to 3 DP)
Surface Area
SA = 474.66 + 674.256 + 1507.394
SA = 2656.31
Answer:
x = -8.
Step-by-step explanation:
Now combine the x terms. We get x - 3y = 136 and 18x + 3y = -288.
Combining these two equations eliminates the y terms, leaving us with:
19x = -152. Solving for x, we get: x = -8. This corresponds to the second answer choice.
Answer:
x =14
Step-by-step explanation:
14x+24=18x-32
Subtract 14x from each side
14x-14x+24=18x-14x-32
24 = 4x -32
Add 32 from each side
24+32=4x-32+32
56 = 4x
Divide each side by 4
56/4 = 4x/4
14=x
The total combinations of 5 numbers that can be made from
59 numbers is:
59C5 = 5,006,386
So the probability of winning is:
P = 1 / 5,006,386
P = 1.997 x 10^-7
So the expected payoff is:
P = $1,000,000 (1.997 x 10^-7) - $1 (1 - 1.997 x 10^-7)
<span>P = - $0.80 (loss)</span>
<span>
</span>
<span>D</span>
Answer:
23=89=46
Step-by-step explanation:
=56
