The volume of a cylinder can be found using the formula:
π r² h,
where r is the radius of the circular base and h is the height of the cylinder.
If we plug in the measurements of the cylinder, we get:
π (6²) (28)
When this is simplified, we get that the volume of the cylinder is:
1008π cubic cm
Thus, if each marble has a volume of 36π cubic cm, then to find how many marbles will fit into the vase we must divide the vases total volume by the volume of each marble.
1008π / 36π = 28
Therefore, the answer is D. 28 marbles
I'm not sure which numbers you are referring to, but 3 has the same absolute value as -3, and 7 has the same absolute value as -7, just for an example.
Answers
D 36
Step-by-step explanation:
77 is the area for the squared trapezoid and 36 is the closest to 77
Answer:
105°
Step-by-step explanation:
On the other side it is 75°. The 2 lines are parallel. X is 105° because 180°-75°=105°.
I hope you understood it :)
9514 1404 393
Answer:
- red boat distance: 42 miles
- angle at lighthouse: 22°
Step-by-step explanation:
The Law of Cosines can be used to find the distance from the red boat to the lighthouse.
b² = l² +r² -2lr·cos(B)
b² = 18² +30² +2·18·30·cos(120°) = 1764
b = √1764 = 42
The distance from the red boat to the lighthouse is 42 miles.
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The angle at the lighthouse can be found using the law of sines.
sin(L)/l = sin(B)/b
L = arcsin(l/b·sin(B)) = arcsin(18/42·sin(120°)) ≈ 21.79°
The angle between the boats measured at the lighthouse is about 22°.
