A) about 14 square units
You have 11 fully filled squares 2 that are mostly filled and 2 that are about half filled
So 11+2+2(1/2)= about 14
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.
Step-by-step explanation:
27x² = 3*3*3*x*x
45x³y² = 3*3*5*x*x*x*y*y
Now
GCF = 3 * 3 *x * x = 9x²
I would say 60 degrees because the shape that has x is just a bigger version of the original so it would have the same angels so x is 60 degrees