Answer:
Step-by-step explanation:
2n + 8.5 = 23
2n = 14.5
2n = 7.25 or 7 1/4 feet
The 'seconds' hand on the watch goes all the way around in 1 minute. <span>15 seconds is 1/4 of a complete 1-minute revolution. </span>So, the 2 cm is 1/4 of the way around the circle that the tip makes. This makes the full circumference of the circle 8cm.
<span>The length of the second hand will be the radius of the circle. Use the following equation: </span>
2 pi radius = circumference
Since we know the circumference, plug that in, and solve for the radius:
2 pi radius = 8 cm
radius = 8cm / 2 pi =<span> 1.27 cm</span>
Answer:
-4
Step-by-step explanation:
We have the coordinates (6, 3) and (8, 4), allowing us to calculate the slope (or gradient). To do this, you divide the change in y by the change in x, which is 1/2 which is a half.
The form of a linear equation is y = mx + c, where m is the gradient and c is the y-intercept.
We have the gradient, so we can put it in the equation:
y = x/2 + c
We can now substitute in a pair of our coordinates and rearrange to find the y-intercept.
3 = 6/2 + c
3 = 3 + c
c = 0
Therefore the equation for our line is y = x/2.
We can now put in the y coordinate we were given to work out the corresponding x coordinate:
-2 = x/2
x = -4
Therefore n is -4.
3 hours 59 minutes because when you do the math
