Answer:
3040cm
Step-by-step explanation:
you simply multiply 10 by 19 to get 190 than do 190 times 16 where u would go 6 times 0 =0 6 times 9 =54 leave the 4 carry the 5 than 6 times 1 is 6 but add the 5 to get 1140 than for the 1 simply put a placeholder 0 than just put 190 since you're multiplying by one to get 3040
The answer is: " 471 cm² " .
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The formula for the surface area, "S.A.", of a "cylinder":
S.A. = 2 π r² + 2 π r h ;
in which:
"S.A." = "surface area" of the cylinder; for which we wish to solve;
π = 3.14 (approximation we shall use) ;
r = radius = 5 cm (given; from figure);
h = height = 2 cm (given; from figure);
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To solve for the surface area, "S.A." . let us plug in our known values, and solve:
S.A. = 2 π r² + 2 π r h ;
S.A. = 2 * (3.14) * (5 cm)² + 2 * (3.14) * (5 cm) * 10 cm) ;
= 2 * (3.14) * (5²) * (cm²) + 2 * (3.14) * 5* 10 * cm² ;
= 2 * (3.14) * (25) * (cm²) + 2 * (3.14) * 5* 10 * cm² ;
= 157 cm² + 314 cm² ;
= 471 cm² .
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The answer is: " 471 cm² " .
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By Green's theorem,

where
is the circle
and
is the interior of
, or the disk
.
Convert to polar coordinates, taking

Then the work done by
on the particle is

1. The area of the rhombus can be found by the formula
where
are rhombus's diagonals.
Note that
then
2. The diagonals of rhombus are perpendicular and are bisectors of each other. Then the triangle formed with halfs of diagonals is right triangles with legs

The hypotenuse of this triangle is the rhombus's side. By the Pythagorean theorem

3. The distance between the point of intersection of the diagonals and the side of the rhombus is the height of right triangle considered above.
Use twice the Pythagorean theorem to find this height:

where x is projection of leg 12 cm and h is height.
Subtract the first equation from the second:

Then

Answer: 