Answer:
pi/2 units to the left
Step-by-step explanation:
the formula is y = cos(x-b) so when b is negative, the formula will show a plus sign because minus negative is adding. this means the graph is shifted -pi/2 to the right which is really pi/2 to the left

This problem can be solved using the Pythagorean Theorem.
<em>Note: the height of the telephone pole is unnecessary information.</em>
Convert the measurement in feet to inches.

The length from the base of the pole to the anchor point on the ground is
inches. The distance from the base of the pole to the anchor point on the pole is
inches.
These are the two legs of a right triangle. The length of the stabilizing cable is the hypotenuse of the right triangle.
The Pythagorean Theorem is:

In this formula,
and
are the legs and
is the hypotenuse.
Plug in the known values.

Swap the sides of the equation.

Evaluate the powers.

Simplify using addition.

Take the square root of both sides.

Separate the solutions.

Length and distance cannot be negative, so remove the negative solution.

8 x 300 = 2400
9 x 270 = 2430
10 x 240 = 2400
11 x 210 = 2310
the max revenue would be $9
Answer:
1. 2 2/3 or -2 2/3
2 . 2 1/6
3. 9 3/4
Step-by-step explanation:
You just have to subtact the fractions and you will get your answer!
Answer:
<u>The equation to find the length of each of the shorter sides of the parallelogram is 2x + 32.28 = 50.12 and the value of x is 8.92 inches.</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Perimeter of the parallelogram = 50.12 inches
Length of the longer sides = 16.14 inches
Length of the shorter sides = x
2. Write an equation to find the length x of each of the shorter sides.
Perimeter of the parallelogram = 2 * Length of the longer sides + 2 * Length of the shorter sides
50.12 = 2 * 16.14 + 2 *x
2x + 32.28 = 50.12
2x = 50.12 - 32.28
2x = 17.84
x = 17.84/2
<u>x = 8.92</u>
<u>The equation to find the length of each of the shorter sides of the parallelogram is 2x + 32.28 = 50.12 and the value of x is 8.92 inches.</u>