April has a small business during the winter months making hats and scarves. A hat requires 2 hours on machine A, 4 hours on machine B, and 2 hours on machine C. A scarf requires 3 hours on machine A, 3 hours on machine B, and 1 hour on machine C. Machine A is available 36 hours per week, machine B is available for 42 hours, and machine C is available 20 hours per week. The profit on a hat is $7.00 and the profit on a scarf is $4.00. Using the information in the problem, write the constraints. Let x represent the number of hats made, and y represent the number of scarves.

Constraint equations are: 2x + 3y = 36  ; 4x + 3y = 42 ; 2x + y = 20

Because :

Hat requires = 2 hours on machine A, 4 hours on machine B, and 2 hours on machine

Scarf requires = 3 hours on machine A, 3 hours on machine B, and 1 hour on machine

Constraints given : Machine A = 36 hours , Machine B = 42 hours , machine C = 20 hours

So, constraints equation : 2 (Hats) + 3 (Scarf) = 36 ; ∴

4 (Hats) + 3 (Scarf) = 42 ; ∴

2 (Hats) + 1 (Scarf) = 20 ; ∴

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the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation:

squares, rhombus, rectangles