Find the lateral area of a triangular hat if the radius of the base is 4 inches and the slant height is 11 inches. Round your answer to the nearest hundredth. (Hint: The formula for the lateral area of a cone is y=Tsx, where s is the slant height x is the radius of the base, and I = 3.14)​

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3

answer: x=3 and y=4

step-by-step explanation: