Megan is embroidering a pillow with a star‐shaped design. The endpoints of her design can be described by the points A(0, 0), B(7, 4), C(8.5, 9.5), D(12, 5), E(25, 5), F(13, 0), G(12.5, ‐10.5) and H(8, ‐1). If each unit represents one inch, what is the total length of thread Megan will need in order to create the design? Round perimeter to the nearest tenth.

Asif spent $745.10 on 13 new file cabinets for his office. small file cabinets cost $43.50 and large file cabinets cost $65.95. write and solve a system of equations to find the number of small cabinets and large cabinets he purchased. determine if each statement is true or false. 1. he purchased 5 small cabinets. true or false 2. he purchased 7 large cabinets. true or false 3. he spent $527.60 on large cabinets. true or false

Aregular pan has a length that is 4/3 the width. the total area of the pan is 432in.2. what is the width of the cake pan?

Given that sin∅ = 1/4, 0 < ∅ < π/2, what is the exact value of cos∅? a. (√4)/4 b. (√15)/4 c. (4π)/2 d. (4√2)/4