Answer:
The linear speed of the bike is 19.242 miles per hour.
Step-by-step explanation:
If sliding between the bottom of the wheel and ground can be neglected, the motion of the wheel can be well described by rolling, which is a superposition of coplanar pure rotation and translation, The speed of the bike occurs at the center of the wheel, where resulting instantaneous motion is pure translation parallel to ground orientation. The magnitude of the speed of bike (
), measured in inches per second, is:
Where:
- Radius, measured in inches.
- Angular speed, measured in radians per second.
Now, the angular speed must be converted from revolutions per minute into radians per second:
The speed of the bike is: (
and )
Lastly, the outcome is converted into miles per hour:
The linear speed of the bike is 19.242 miles per hour.
Answer:
110d + 80 > 1620
d > 14
Step-by-step explanation:
The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d
Add 80 to this to represent the bonus points.
Use a greater than inequality, because you have to get more than 1620 points.
Put this all together:
110d + 80 > 1620
Then, solve for d:
110d + 80 > 1620
110d > 1540
d > 14
So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.
<em><u>The number 0.000000016 is expressed in scientific notation is:</u></em>
<em><u>Solution:</u></em>
Given that,
Charlie learns that a computer processor can perform one command in approximately 0.000000016 nanoseconds
We have to express in scientific notation
<em><u>Step 1:</u></em>
Given number is:
0.000000016
Move the decimal point in 0.000000016 until there is only one non-zero digit to the left of the decimal point
Here,
Move the decimal 8 places to the right to get 1.6
We have moved the decimal to left, therefore, exponent is negative
Thus the given number is expressed in scientific notation
Answer:
(x, y) = (0, 1)
Step-by-step explanation:
For polar coordinates (r, θ), the corresponding rectangular coordinates are ...
(x, y) = (r·cos(θ), r·sin(θ))
For r=1 and θ=π/2, the rectangular coordinates are ...
(x, y) = (1·cos(π/2), 1·sin(π/2))
(x, y) = (0, 1)
You must add all sides together to get the perimeter.
The perimeter is 24
