The right isosceles triangle shown is rotated about line k with
the base forming perpendicular to k. The perimeter of the
triangle is 58 units.
Which best describes the resulting three-dimensional
shape?
k
a cone with a base radius of 17 units
a cone with a base radius of 34 units
a cylinder with a base radius of 17 units
a cylinder with a base radius of 34 units
24 units

The cone with a base radius of 17 units  best describes the resulting three-dimensional  shape.

Given that,

Based on the above information, the calculation is as follows:

58 =  24+ 2x

58 - 24 = 2x

34 = 2x

x = 17

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The correct/valid answer is A. a cone with a base radius of 17 units

Step-by-step explanation:

The 3d shape that is developed when the figure is rotated at k is a actually a cone with a base radius of 17 whole units. Given the triangle's perimeter, the base can now be solved by using the mathematical expression, 58= 24+ 2x, where x is actually the base radius of the given triangle.

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x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.