|-20| = 20 and <span>|6| = 6
so </span><span>|-20| - |6| = 20 - 6 = 14</span>
Answer:
- 24 cm²
- 6400 -1600π ≈ 1373.45 square units
Step-by-step explanation:
1. You can look at this several ways.
It can be considered to be a stack of 1+2+3 = 6 squares that are 2 cm on a side, so have a total area of 6 × (2 cm)² = 24 cm².
You can lop off one of the squares sticking out and put it into the empty corner to form a 6 cm by 4 cm rectangle with an area of (6 cm)(4 cm) = 24 cm².
You can consider it to be a 6 cm square with 3 squares cut out of it that are 2 cm on a side: (6 cm)² -3(2 cm)² = (36 -12) cm² = 24 cm².
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2. The shaded area is the difference in areas of a square 80 units on a side and a circle of 40 units radius. If we let d represent the side dimension of the square, then the area formulas are ...
Square area = d²
Circle area = π(d/2)²
So the difference area is ...
shaded area = d² -(π/4)d² = d²(1 -π/4)
For d=80, the shaded area is ...
shaded area = 80²(1 -π/4) = 6400 -1600π ≈ 1373.45 square units
Answer:
(x² - 9)(x² - 2) = 0
x = 3 or √2
Step-by-step explanation:
To factor a polynomial, you need to find two expression that when multiplied together using FOIL (first, outside, inside, last) will produce the polynomial. In this case the polynomial 
can be factored into:
(x² - 9)(x² - 2) = 0
Setting each of these expressions equal to '0':
x² - 9 = 0 or x² = 9 so √x² = √9 or x = 3
x² - 2 = 0 or x² = 2 so √x² = √2 or x = √2
Answer:
80°
Step-by-step explanation:
The measure of arc AB is equal to the central angle ∠COB, that is
measure of arc AB = 80°
