ACE. Just find the difference between the numbers, and divide the numerator and denominator by it to see if you get 3/4
Answer:
16n
Step-by-step explanation:
5n+11n=16n because 5+11 =16 and you just multiply each number by n.
Answer:
50π ≈ 157.08 cubic units
Step-by-step explanation:
The volume of revolution of a plane figure is the product of the area of the figure and the length of the path of revolution of the centroid of that area. The centroid of a triangle is 1/3 the distance from each side to the opposite vertex. (It is the intersection of medians.)
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<h3>length of centroid path</h3>
One side of this triangle is the axis of revolution. Then the radius to the centroid is 1/3 the x-dimension of the triangle, so is 5/3. Then the circumference of the circle along which the centroid is revolved is ...
C = 2πr
C = 2π(5/3) = 10π/3 . . . units
<h3>triangle area</h3>
The area of the triangle is found using the formula ...
A = 1/2bh
A = 1/2(5)(6) = 15 . . . square units
<h3>volume</h3>
The volume is the product of the area and the path length:
V = AC
V = (15)(10π/3) = 50π . . . cubic units
The volume of the solid is 50π ≈ 157.08 cubic units.
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<em>Additional comment</em>
In the attached figure, the point labeled D is the centroid of the triangle. The label has no significance other than being the next after A, B, C were used to label the vertices.
The volume of revolution can also be found using integration and "shell" or "disc" differential volumes. The result is the same.
Answer: 1.5 hours
Step-by-step explanation:
If Thiago and Brandon move in opposite directions at speeds of 80mph and 70mph then after 1 hour Thiago will have traveled 80 miles and Brandon will have traveled 70 miles.
Since they are in opposite directions then the distance is from
Then we know that after t hours have elapsed they are 225 miles
Then we pose the following equation
Now we solve for t
Realistically, the answer is A. The mean is around 6 because the low minimum and quartiles skew the data to the left.