Answer:
3π
Step-by-step explanation:
The arc length is just a fraction of the circumference of the circle which we know is represented by the equation L=2πr.
The radius is given ad 6. So the circumference is:
2*π*6=12π
Now, since the angle of the arc is 90°, this is 1/4 of the circle.
This means that the arc length of this section will be 1/4th of the total circumference which is:
12π/4=3π
Answer:
All real numbers
Step-by-step explanation:
Domain = x values.
There is no limitation on x-values.
Because u have a saiki k pfp i will answer lol
The answer should be 1280 :)
Answer:
D. Yes, because the scale does not start at 0.
Step-by-step explanation:
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.