Answer:
Step-by-step explanation:
We are to show that 
<u>Proof:</u>
From trigonometry identity;


From trigonometry, 2sinAcosA = Sin2A

Also note that sin(B-C) = sinBcosC - cosBsinC
sin420cos140 - cos420sin140 = sin(420-140)
The resulting equation becomes;

= 
Answer:
12 = 2.5h + 4
Step-by-step explanation:
The value of 4 in 47,163 is 10 times greater than the value of 4 in 34,258.
Each time you move one place over (e.g. tens to hundreds) the number gets 10 times larger if you move to the left and 10 times smaller if you move to the right. So, for example you go from tens to hundreds it is 10 times larger, but if you go from hundreds to tens then it is 10 times smaller.
Answer:
93.5 square units
Step-by-step explanation:
Diameter of the Circle = 12 Units
Therefore:
Radius of the Circle = 12/2 =6 Units
Since the hexagon is regular, it consists of 6 equilateral triangles of side length 6 units.
Area of the Hexagon = 6 X Area of one equilateral triangle
Area of an equilateral triangle of side length s = 
Side Length, s=6 Units

Area of the Hexagon

Answer:
45.45
Step-by-step explanation:
25 is 55% of What Number? - 25 is 55% of 45.45. 100% of 45.45 is 45.45, therefore 55 percent of 45.45 equals 25.