You have the following expression:
To verify the identity, you have that the left side of the equation becomes:
(1 + cosx)(1 - cosx) = (1 - cos^2 x)
because of the product of an expression by its conjugate result in a difference of squares. Or simplfy by expanding the factors and simplying.
Next, you have:
1 - cos^2 x = sin^2 x
because the Pythagorean identity.
Then, the identity is verified.
7 + 5(9)
7 + 45
= 52
The answer is 52.
Answer:
Line XY and line MP are co-planar. Which statement shows that the lines are parallel?
A. Line XY and line MP never intersect.
B.Line XY and line MP share the same endpoint.
C.Line XY and line MP intersect at a 90° angle.
D.Line XY and line MP meet at a right angle.
so its a
Step-by-step explanation:
If 3/10 cup is 2/5 full, then the bowl holds:
(3/10) / (2/5)
(3/10)/(2/5) = 3/10 * 5/2 = 15/20 = 3/4
The bowl holds 3/4 of a cup
Since the base is 3 inches and the height is 4 inches, as well as the area of a triangle being base*height/2, we get 3*4/2=6 in. for each triangle. Since we need 20 pieces for each puzzle, we multiply 6 by 20 to get 120. In addition, since 80 puzzles are needed, with 20 pieces for each puzzle, we have 120 inches for each puzzle and 120*80 = 9600 square inches of wood used
