Both circles have the same center. The circumference of the inner circle is 31.4 millimeters. What is the area of the shaded region?

Write a function that matches the description. a cosine function has a maximum of 5 and a minimum value of -5. f (r) =

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

Solve the triangle. a = 21°, c = 105°, c = 5