Answer:
3 2/3ft²
Step-by-step explanation:
Area of a rectangle = Length × Width
Given
Length = 5 1/2 foot
Width = 2/3foot
Substitute
Area of the rectangle = 5 1/2 × 2/3
Area of the rectangle = 11/2×2/3
Area of the rectangle = 22/6
Area of the rectangle = 11/3
Area of the rectangle = 3 2/3ft²
You can solve this by putting the number of copies in the top part of the fraction. If you replace the one in the top part of 1/6 with 3, you get the fraction 3/6. Half of six is three and half of two is one, so both fractions are equal. You can test this be dividing the 3 in the top by 3 and the 6 in the bottom by three. Your result will be 1/2. Although there are three times ad many copies, each copy is three times as small, so it balances out.
The answer is D as said above
Let z = sin(x).
.. z^2 -2z = 2
.. z^2 -2z +1 = 3
.. (z -1)² = 3
.. z -1 = ±√3
.. z = 1 -√3 . . . . . the positive solution is extraneous
sin(x) = 1 -√3