Choose all the shapes with at least 1 pair of perpendicular sides
2 answers:
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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.
Answer:
Step-by-step explanation:
For this exercise you need to use the following formula for calculate the area of regular polygon:
Where is "s" the length of any side, "n" is the number of sides.
Int this case you know that it is regular pentagon, which means that it has five sides. Then you can identify that the values of "n" and "s":
Therefore, substituitng values into the formula, you get that the area f the pentagon is:
Answer:
- 7/1
- 21/3
- 532/76
Step-by-step explanation:
Reduce the ratio to lowest terms, then multiply numerator and denominator by any same value to get another equivalent.
Answer:
Step-by-step explanation:
tan(30°) =
cot(30°) =
sin(60°) =