What is 1/2 of 25 explain
2 answers:
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Answer:
x=3.5
Step-by-step explanation:
You can find x by finding the hypotenuse of that triangle, which is the leg of the other triangle. Find the value of the leg first:
You can use the sine ratio to find the leg. This is because and we have the hypotenuse for that triangle and we need to find the side opposite the given angle, 45°. Insert values:
Solve for x. Multiply both sides by 7:
Enter the value into a calculator:
The leg is 4.9. Use this to solve for the next x. Use the sine ratio for the same reason. Insert values:
Solve for x. Multiply both sides by 4.9:
Insert into a calculator:
Finito.
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.
