The Scenario: Your manager has asked you to help plan your company's participation at a local trade show. You have $3000 to spend on the booth space. Use what you know about solving inequalities to prepare a proposal that meets the budget. The Project: Use the information provided in the Performance Task to learn more about the costs of renting a booth space and. See what you can discover about each of these tasks before you write your proposal showing your manager how you've prepared for the tradeshow and stayed within budget.

Choosing a Booth Location: Your manager is sending two people to work at the conference. She wants a booth that will give your company good visibility for no more than 35% of the total budget ($3000). The conference coordinator just told you there are only five booths left. Which booth will you choose?

1. How much money are you starting with? (1 point)

2. What variable will you use to represent the cost of the booth? (2 points)

3. Write the inequality that shows how much money you can spend on the booth. (2 points)

4. Simplify the inequality that shows how much money you can spend on the booth. (2 points)

answer: 38.47 is your answer

step-by-step explanation: hope i you and who ever sees this answer have a great rest of your day : )

a

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4