A cylinder with a circumference of about 50 units is formed.
Step-by-step explanation:
Step 1:
The perimeter of the square is 32 units. The perimeter of a square is given by 4 times its side length.
So the side length of the square is 8 units.
If a square is rotated a cylinder will be formed. So the options with a cone are wrong as a cone is formed when a triangle is rotated.
Step 2:
To calculate the circumference of the cylinder, we multiply 2π with the radius. The radius is the same as the side length of the square. So r is 8 units.
The circumference of the cylinder 
So the circumference of the cylinder is approximately equal to 50 units so the answer is the fourth option, a cylinder with a circumference of about 50 units.
False because it doesn’t meet any triangle congruence theoreme
Answer:
455 or 680, depending
Step-by-step explanation:
If we assume the three choices are different, then there are ...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to make the pizza.
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If two or three of the topping choices can be the same, then there are an additional ...
2(15C2) +15C1 = 2·105 +15 = 225
ways to make the pizza, for a total of ...
455 + 225 = 680
different types of pizza.
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There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.
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nCk = n!/(k!(n-k)!)
The solution
m = s + 5
<span>m - 4 = (3s) - 3 </span>
<span>(s + 5) - 4 = 3s - 3 </span>
<span>s + 1 = 3s - 3 </span>
<span>s = 3s - 4 </span>
<span>-2s = -4 </span>
<span>s = 2 </span>
<span>m = 7 </span>
<span>Check this: </span>
<span>m - 4 = 3s - 3 </span>
<span>7 - 4 = 3(2) - 3 </span>
<span>3 = 6 - 3 </span>
<span>3 = 3 </span>
<span>So Sandy is 2 and Megan is 7.</span>
