Answer:
A. Train A
Step-by-step explanation:
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Answer:
x = 12
Step-by-step explanation:
Answer:
Step-by-step explanation:
a). Total surface area of cylinder is defined by sum of curved surface area and surface area of the top and bottom.
Total surface area = 2πrh + 2πr²
Skateboarders use a half pipe structure which are not closed at the ends.
Therefore, curved surface of the half pipe = 
= πrh
b). If r = 2.5 m and h = 9 m,
Curved surface area of the half pipe = π(2.5)(9)
= 70.69 m²
≈ 71 m²
Answer:
Removing pennies and dimes from the bag
Step-by-step explanation:
From the beginning, we have a 1 in 3 chance of drawing a quarter. If we were to add dimes and/or pennies to the bag, this would make us more likely to draw a dime or a penny, and less likely to draw a quarter. Proportionally, we want the most quarters in the bag to get the highest probability of drawing a quarter from the bag.
Answer:
Set 4: 12 ft, 16 ft, 20 ft
Step-by-step explanation:
A right angle triangle is a triangle in which one of the angles is a right angle (i.e 90°). The side opposite to the right angle is the longest side and is called the hypotenuse. The Pythagoras theorem for a right angle triangle states the the square of the hypotenuse is equal to the sum of the square of the remaining two sides.
For set 1:
4² + 5² = 16 + 25 = 41
6² = 36
6² ≠ 4² + 5²
It does not form a right triangle
For set 2:
8² + 12² = 64 + 144 = 208
20² = 400
20² ≠ 8² + 12²
It does not form a right triangle
For set 3:
10² + 20² = 100 + 400 = 500
30² = 900
30² ≠ 10² + 20²
It does not form a right triangle
For set 3:
12² + 16² = 144 + 256 = 400
20² = 400
20² = 12² + 16²
It forms a right triangle