She can cut up the 18 yards into 162 Pisces of 4 inches each. From those, if she works carefully, she can make 81 pairs of little Bootes.
Answer:
9/4
Step-by-step explanation:
This is quite simple you do 1/2 divided by 2/8 which will become multiplication. Then its that number plus 1/4
you get a answer of
9/4 in fraction form
2.25 in decimal form
2 1/4 in mixed fraction form
Answer:
The volume is 56.6 rounded
Step-by-step explanation:
Answer:
Translate 10 units right, 9 units up
Step-by-step explanation:
translations simply take the image and move it up or down or side to side, reflections flip the image, dilation changes the dimensions of an image, and rotation rotates an image on its origin point.
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.