A book is opened to a page at random. The product of the facing page numbers is 9312. What is the sum of the facing page numbers?

193

Step-by-step explanation:

Let's "cheat" a little on this one

We know that the numbers are consecutive

so lets take the square root of 9312 to get close

√9312 = 96.4987046545

Consecutive numbers around 96.4987046545

96 * 97 = 9312

96 + 97 = 193

The "correct" method would be to set up an equation

x(x + 1) = 9312

x² + x = 9312

x² + x - 9312 = 0

Then use the quadratic equation to solve for x

Which you can do if you're so inclined.

Me, I'm happy to have "cheated"

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.