Shawn is coasting down a 500 cm long ramp on his inline skates. The wheels on his inline skates are 32 cm in circumference.
2 answers:
Answer:
<h2>Each wheel make 15 completed rotations while Shawn is coasting doen the ramp.</h2>Step-by-step explanation:
Givens
- The ramp is 500 cm long.
- The circumference of the wheels is 32 cm.
To find the number of rotations each wheel make in the process, we need to find the number of 32's can fit in 500. To do that, we just have to divide
Therefore, each wheel make 15 completed rotations while Shawn is coasting doen the ramp.
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Answer:
The area of this triangle is about 21.2132 square units.
Step-by-step explanation:
First, find the lengths of the legs AB and BC.
Length of AB ===
Find the difference in position vertically:
The points are 6 units apart vertically.
Find the difference in position horizontally:
The points are 3 units apart horizontally.
These lengths form a right triangle with the distance between the points as the hypotenuse, so you can use the pythagorean theorem to solve:
AB is about 6.7082 units long.
Length of BC ===
Same process as above.
Find the vertical distance:
2 units apart vertically.
Find the horizontal distance:
6 units apart horizontally.
Use the pythagorean theorem:
BC is about 6.3246 units long.
Area ===
Finally, you can use these to find the area of the triangle. The area of a right triangle is just half the area of a rectangle with the same base and height:
The area of this triangle is about 21.2132 square units.
Answer:
2x⁴y²
Step-by-step explanation:
The question gives us the expression;
12x⁷y³ ÷ 6x³y
We are supposed to simplify the expression;
First we could divide the digits;
12 ÷ 6 = 2
Then we divide the like terms;
x⁷ ÷ x³
This means;
y³ ÷ y
That is;
Therefore, the simplified expression will be 2x⁴y²