Answer:
The cross section will be an isosceles triangle
Step-by-step explanation:
The picture of the question in the attached figure N 1
we know that
If a plane passes through the axis of rotation of the cone, then the resultant cross-section will be a triangle with one vertex as the vertex of the cone and the two sides of the triangle through the vertex A will be equal.
Where the base of the triangle will be equal to the diameter of the circular base of cone and the two congruent sides of triangle will be equal to the slant height of the cone
therefore
The cross section will be an isosceles triangle
First integrate the entire thing by letting multiplying by 1/2 the entire expression raised to exponent 1/2 - 1. That is,
0.5(1 + x³)^-0.5
Then, multiplying this by the derivative of those inside the parentheses. The final answer would be,
(0.5)((1 + x³)^-0.5)(3x²)
Answer:
Step-by-step explanation:
If a horizontal line intersects the graph of a function in all places at exactly one point (the horizontal line test), the inverse of the function is also a function.
For example, the inverse of a hyperbola (like ƒ(x) =1/x) is a function, because every horizontal line intersects with the graph at exactly one point.
However, the inverse of a parabola (like ƒ(x) = x²) is not a function, because a horizontal line intersects with the graph at two points.
B = 3h . . . . . . . .given by the problem statement
A = (1/2)bh . . . . formula for the area of a triangle
486 cm² = (1/2)*(3h)*h . . . substitute given information
(2/3)*486 cm² = h² . . . . . .multiply by 2/3
√324 cm = h . . . . . . . . . . . . . .take the square root
The height is 18 cm.
The base is 3*18 = 54 cm.
Answer:
<u><em>37 decreased by 20% is </em></u><u><em>29.6.</em></u>
Step-by-step explanation:
<u><em>To do this, what we do is simply </em></u><u><em>take 20% of 37 and subtract it from 37.</em></u>
<u><em>20% of 37.</em></u><u><em> A trick to easily figure this out is </em></u><u><em>multipling 37 by 20 and dividing by 100.</em></u>
<u><em>37*20 = 740</em></u>
<u><em>740 / 100 = 7.40</em></u>
<u><em>37 - 7.40 = 29.6</em></u>
<u><em>37 decreased by 20% is </em></u><u><em>29.6.</em></u>
