HarleyQuinn619
contestada

HURRY I'LL PICK A BRAINLIEST PERSON!!!!
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? Check all that apply.

A. s = LA/πr
B. s = πr/LA
C. s = LAπr
D. r = LA/πs
E. r = LAπs

Respuesta :

willdabeast722
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!

Answer:

[tex]\text{The equivalent equations are }s=\frac{LA}{\pi r}\text{ and }r=\frac{LA}{\pi s}[/tex]

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

[tex]LA = \pi rs[/tex]

[tex]\text{Divide throughout by }\pi r[/tex]

[tex]\frac{LA}{\pi r} = \frac{\pi rs}{\pi r}[/tex]

[tex]s=\frac{LA}{\pi r}[/tex]

Solve for r

[tex]LA = \pi rs[/tex]

[tex]\text{Divide throughout by }\pi s[/tex]

[tex]\frac{LA}{\pi s} = \frac{\pi rs}{\pi s}[/tex]

[tex]r=\frac{LA}{\pi s}[/tex]

[tex]\text{Hence, the equivalent equations are }s=\frac{LA}{\pi r}\text{ and }r=\frac{LA}{\pi s}[/tex]

Option A and D are correct.

Otras preguntas