This will be easier to write, and a lot easier to read, if we temporarily
use another symbol ... say, 'Q' ... to represent ' sin(2x) ' .
Here we go:
Original equation: Q² - 0.5 Q = 0
Factor the left side: Q (Q - 0.5) = 0
This equation is true if either factor is zero:
-- If Q=0, then sin(2x) = 0
2x = 0°, 180°, 360°
x = 0°, 90°, 180°
-- If (Q-0.5) = 0, then Q = 0.5
sin(2x) = 0.5
2x = 30°, 150°
x = 15°, 75°
The whole collection of solutions
between 0° and 360° :
x = 0°, 15°, 75°, 90°, 180° .
I hope this helps you
3 triangles area+square area
3.30+30
90+30
120
Last option is correct
Profit of $3400 after its third month in business
Answer: if it's 18 times 29 then it's 522. If it's 18 to the power of 29 it's 2.52873108 times 10^36 (decimal form)
Step-by-step explanation:
Answer: The correct equation is the option A.)A = x(x − 4) − 0.5(8)(x − 4) − 4(8)
Step-by-step explanation:
To find the painted area of the theater room in square feet, the following steps must be followed:
1. Determine the area of the theater room
Length: x
Width: x-4
A (theater room) = x (x-4)
2. Determine the area of the right triangle
Height: x-4
Base: 8
A (right triangle) = 0.5 (8) (x-4)
3. Determine the area of the rectangle inside labeled closet
Length: 8
Width: 4
A (closet) = 8 (4)
4. The area to be painted will be the substraction between the total area of the theater room, less the area of the right triangle and less the area of the rectangle of the closet like this:
A= A(theater room) - A(right triangle) - A (closet)
A = x (x-4) -0.5 (8) (x - 4) - 4 (8)
Therefore, the correct equation to solve by area is option A
