Step-by-step explanation:
all you have to doe is type Ex:4 into the calculator and you should get your answer.
It will take 148
hours (In decimal form its 148.66336633)
500500-200200=300300
300300÷2020=148.66336633
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.
The known facts
- the sum of Natalie's age and Fred's age is 36
- the sum of Fred's age times four and Natalie's age is 72
Now, let's set up the equations where N is Natalie's age and F is Fred's age.
N + F = 36 ---- equation 1
N + 4F = 72 ---- equation 2
equation 2 minus equation 1 ---> 3F = 36 ---> F = 12, thus N = 24
Thus Fred is 12 years old, and Natalie is 24 years old.
Answer:
The midpoint of the segment is (-0.5,0.5).
Step-by-step explanation:
Midpoint of a segment:
The midpoint of a segment is given by the mean of its coordinates.
Segment with end points (4,2),(-5,-1)
x-coordinates: 4 and -5
y-coordinates: 2 and -1
x-coordinate of the midpoint:

y-coordinate of the midpoint:

The midpoint of the segment is (-0.5,0.5).