First what you would have to do is distribute the reciprocal to the (d/3 + 2) and the d/3 is canceled out. You are left with h=6/d. When you put the h over 1 in a fraction, it stays the same. Like in trig, you switch the d and the h and you have d/1=6/h.
d=6/h
For similarity measures of corresponding angles should be equal so we would use AA similarity postulate
14 volunteers will not be able to help.
Step-by-step explanation:
According to given statement;
One booth requires 3 Volunteers.
No. of booths = 16
Given number of volunteers = 62
We will multiply total number of booths with 3 to find the number of volunteers required.
Volunteers required = No. of booths x 3
Volunteers required =
Volunteers required = 48
Subtract the required volunteers from total volunteers;
14 volunteers will not be able to help.
Keywords: Subtraction, Multiplication.
Learn more about subtraction at:
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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.