Step-by-step explanation:
Given that,
The diameter of the merry-go-round, d = 14 feet
Time taken, t = 6 seconds
Radius, r = 7 feet
The linear speed of the merry-go-round is given by :
Also,
Where
is the angular speed
So,
Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.
Answer:
I think that the answer is 50 because 100 divided by 2 equals 50
Step-by-step explanation:
Lines that are parallel have the same slope, and the given line (y = 6x - 5) has a slope of 6; we are looking for a line with a slope of 6.
To form an equation for a line, you need to know the y-intercept (the point at which the line intersects the y-axis). The first step to finding the y-intercept is to plot the given point. After you've done that, count six units up (this is our slope) and one to the right; plot the point. Lastly, draw the line by connecting the points and see where the line intersects the y-axis.
My graph shows that the line intersects the y-axis at -17. All that's left now is to put our information together into an equation. I'm assuming the problem wants the equation in slope-intercept form; slope-intercept form is y = mx + b where m is the slope and b is the y-intercept, so it would look like this:
y = 6x -17
Hope this helps.
Answer:
x=14
PQ=46
Step-by-step explanation:
PT and TQ are equal, so we can set up the equation like this: PT=TQ
23=2x-5
calculate to find x
x=14
PQ is just PT+TQ so 23+23=46
32 degees, 43.8 degrees, 53.8, 63.8 Yes they are proportional
