Question

HURRY I'LL PICK A BRAINLIEST PERSON!!!!

Answer 1

Answer:

$\text{The equivalent equations are }s=\frac{LA}{\pi r}\text{ and }r=\frac{LA}{\pi s}$

Option A and D are correct.        

Step-by-step explanation:

Given 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.

we have to select the equations which equivalent to the above

we have to solve the given equation for variable s and r.

Solve for s

$LA = \pi rs$

$\text{Divide throughout by }\pi r$

$\frac{LA}{\pi r} = \frac{\pi rs}{\pi r}$

$s=\frac{LA}{\pi r}$

Solve for r

$LA = \pi rs$

$\text{Divide throughout by }\pi s$

$\frac{LA}{\pi s} = \frac{\pi rs}{\pi s}$

$r=\frac{LA}{\pi s}$

$\text{Hence, the equivalent equations are }s=\frac{LA}{\pi r}\text{ and }r=\frac{LA}{\pi s}$

Option A and D are correct.

Answer 2

The two correct answers are A and E. You can immediately eliminate C and E because to bring over something that is multiplied you have to divide (fraction). And B isn't the answer because to isolate s you divide by πr which would bring πr to the denominator, not the numerator.
Hope this helps!