The IQR is of this problem is 17 because the Q3 (32) - Q1 (15) = 17
If you find the circumstance using the new radius, then the circumf will be longer than 15ft
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.
A horizontal line goes from left to right on a graph. If a line is horizontal that means that all the values of y will be the same no matter what the x is. In this case all the y - values of this graph will be 9. This makes the equation of the line:
y = 9
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
Equality Sign
Step-by-step explanation:
A child may be at educational risk if he is unable to use the equality sign as it is the basis for comparison of numbers.
Once a child can determine if two numbers are the same, we can then proceed to introduce comparisons of numbers. That is, either it is more than a stated number or less.
For example,
If number of apples=6, a child who understands this will know if 5 apples are less or more as appropriate.