Answer:
64 cm^2
Step-by-step explanation:
Area of Shaded Region = Area of Parallelogram - Area of Rectangle
Area of Parallelogram = 10 * 7 = 70
Area of Rectangle = 2 * 3 = 6
70 - 6 = 64 cm^2
Answer:
Hello,
in order to simplify, i have taken the inverses functions
Step-by-step explanation:
![\int\limits^\frac{1}{2} _{-1} {(-2x^2-x+1)} \, dx \\\\=[\frac{-2x^3}{3} -\frac{x^2}{2} +x]^\frac{1}{2} _{-1}\\\\\\=\dfrac{-2-3+12}{24} -\dfrac{-5}{6} \\\\\boxed{=\dfrac{9}{8} =1.25}\\](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%5Cfrac%7B1%7D%7B2%7D%20_%7B-1%7D%20%7B%28-2x%5E2-x%2B1%29%7D%20%5C%2C%20dx%20%5C%5C%5C%5C%3D%5B%5Cfrac%7B-2x%5E3%7D%7B3%7D%20-%5Cfrac%7Bx%5E2%7D%7B2%7D%20%2Bx%5D%5E%5Cfrac%7B1%7D%7B2%7D%20_%7B-1%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-2-3%2B12%7D%7B24%7D%20-%5Cdfrac%7B-5%7D%7B6%7D%20%5C%5C%5C%5C%5Cboxed%7B%3D%5Cdfrac%7B9%7D%7B8%7D%20%3D1.25%7D%5C%5C)
Answer:
what is the equation?
Step-by-step explanation:
C. 3/2 divided by 3
Alina has 3/2 hours to complete her homework. She should divide her 3/2 hours by the 3 assignments to determine how much time she will spend on each assignment. This turns out to be 1/2 hours, or 30 minutes, on each assignment. 3/2 hours is the same thing as 90 minutes, so this answer makes sense. We want the time to be divided by the number of assignments, not vice versa.
The answer is B. 4 3⁄8 yards. The amount of material needed for the jacket is: x = 2 5/8 yd = 2 + 5/8 = 16/8 + 5/8 = (16+5)/8 = 21/8 yd. The amount of material needed for the skirt is: y = 1 3/4 yd = 1 + 3/4 = 4/4 + 3/4 = (4+3)/4 = 7/4 yd. The total amount of material Jane needs is: x + y = 21/8 + 7/4 = 21/8 + 14/8 = (21+14)/8 = 35/8 = (32+3)/8 = 32/8 + 3/8 = 4 + 3/8 = 4 3/8 yd.
