Answer:

Step-by-step explanation:
Using the product to sum formula
sinxcosy =
[ sin(x + y) + sin(x - y) ] , then
2sinxcosy = sin(x + y) + sin(x - y)
Given
2sin75°cos15° ← with x = 75 and y = 15 , then
= sin(75 + 15) + sin(75 - 15)
= sin90° + sin60°
= 1 + 
= 
Answer:
= 37 cm^2
Step-by-step explanation:
To find the area of the figure, we will split it into 2 separate shapes.
We have a long skinny rectangle and a shorter wider rectangle.
The long skinny rectangle is 15 cm by 2 cm
The area is given by
A = l*w
A = 15*2 = 20 cm^2
The shorter wider rectangle is 7 cm by (3-2) cm or 7 cm by 1 cm
The side length of the bottom rectangle is found by subtracting the length of the skinny rectangle from the total side length.
( The drawing is not to scale)
The area is given by
A = l*w
A = 7 * 1 = 7 cm^2
To find the area of the figure, we add up the area of the two rectangles
A total figure = rectangle 1 + rectangle 2
= 30 + 7
= 37 cm^2
Answer: Third Graph
Step-by-step explanation:
<u>Given inequality</u>
|x| + 1 > 2
<u />
<u>Subtract 1 on both sides</u>
|x| + 1 - 1 > 2 - 1
|x| > 1
<u>Simplify the absolute value sign</u>
x > 1 or x < -1
<u>Apply the inequality to the graph</u>
Since it is less than or greater than, the circle should be <u>hollow</u>
Since it is less than -1 or greater than 1, one line should <u>point to the left </u>and another should <u>point to the right</u>
Therefore, it should be the<u> Third Graph</u>