Solve for x

(5√3)^x+(10√3)^(x-10)=84

9514 1404 393

  x = 20

Step-by-step explanation:

We can define z = 3^(x/10). Then the equation is quadratic, which we can solve by completing the square. X can be found from the positive solution for z.

a = 11 : 4

b = 38

c = 1 for every 6

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi