The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone. Which are equivalent equations? Select two correct answers. s = s equals StartFraction L A Over pi r EndFraction. s = s equals StartFraction pi r Over L A EndFraction. s = LAr r = r equals StartFraction L A Over pi s EndFraction. r = LAs

Complete Question

The formula for the lateral area of a right cone is LA = πrs, where r is the radius of the base and s is the slant height of the cone. Which are equivalent equations? Select two correct answers.

a) s = s equals StartFraction L A Over pi r EndFraction.

b) s = s equals StartFraction pi r Over L A EndFraction.

c) s = LAr

d) r = r equals StartFraction L A Over pi s EndFraction.

e) r = LAs

a) s equals StartFraction L A Over pi r EndFraction.

d) r = r equals StartFraction L A Over pi s EndFraction.

Step-by-step explanation:

The formula for the Lateral Surface Area of a right cone is given in the question as:

LA = πrs

Where

r is the radius of the base and s is the slant height of the cone.

From the options given,

We can make s the subject of the formula.

Hence:

Making s the subject of the formula

LA = πrs

Divide both sides by πr

s = LA/πr

Hence: Option a) s equals StartFraction L A Over pi r EndFraction. Is correct.

Step 2

Making r the subject of the Formula

LA = πrs

Divide both sides by πs

r = LA/πs

Hence: Option d) r equals StartFraction L A Over pi s EndFraction. Is correct.

24 units

step-by-step explanation:

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb