<h2>
</h2>
Two bikers are riding a circular path.
The first rider completes a round in 12
minutes. The second rider completes
a round in 18 minutes. If they both
started at the same place and time
and go in the same direction, after
how many minutes will they meet
again at the starting point?
<h2>
</h2>
- First rider takes 12 minutes to complete a round.
- Second rider takes 18 minutes to complete a round.
After how many minutes will they meet
again at the starting point?
Take the LCM of 12 and 18
12 = 2 × 2 × 3
18 = 2 × 3 × 3
Thus, the LCM of 12 and 18 is 36.
<h3>So they will meet after 36 minutes again at the starting point.</h3>
0.725kg or 725 grams
5.8 kg ÷ 8 star containers = 0.725 kg
Answer:
Step-by-step explanation:
y - x = -5
y = x-5
y = 2x² - 3x - 5
x-5 = 2x² - 3x - 5
2x² - 4x = 0
x² - 2x = 0
x(x - 2) = 0
x = 2, 0
(x,y) = (2,-3), (0,-5)
Answer:
Step-by-step explanation:
Given:
The two points on the line are:
Now, for a line with two points on it, the slope of the line is given as:
For the points 
, slope is:
Now, for a line with slope 'm' and a point 
on it is given as:
Plug in all the values and determine the equation of the line. This gives,
Therefore, the equation of the line is:
Answer:
1,809.98 lb*m/s^2
Step-by-step explanation:
First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.
The weight of the boulder is:
W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)
This weight has a direction that is vertical, pointing downwards.
Now, we know that the angle of the hill is 35°
The angle that makes the direction of the weight and this angle, is:
(90° - 35°)
(A rough sketch of this situation can be seen in the image below)
Then we need to project the weight over this direction, and that will be given by:
P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2
This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.
