Answer:
see explanation
Step-by-step explanation:
Using the double angle identity for sine
sin2x = 2sinxcosx
Consider left side
cos20°cos40°cos80°
= 
(2sin20°cos20°)cos40°cos80°
= 
(2sin40°cos40°)cos80°
= (sin80°cos80° )
= 
(2sin80°cos80° )
= . sin160°
= . sin(180 - 20)°
= . sin20°
= 
= right side , thus proven
Answer:
=6π ft
Step-by-step explanation:
The circumference of a circle is calculated using the formula C=2πr where r is the radius and C the circumference of the circle.
In the circle provided r= 3ft
C= 2π × (3ft)
=6π ft
We do not use the approximate value of pi as the question demands us to leave pi unsolved.
24 + 3x = 3x + 3(7 - 1)
Eliminate the parentheses: 24 + 3x = 3x + 3(6)
24 + 3x = 3x + 18
Subtract 3x from each side: <em>24 = 18</em>
Look at that for a second. Can ANY value of 'x' make 24 equal to 18 ?
I don't think so.
There's NO number that makes the equation a true statement.
That's just another way to say: "The equation has NO solution."
