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:

Step-by-step explanation:
Given
One-eighth times three-elevenths
Required
Solve
One-eighth means 1/8
Three-elevenths means 3/11
So, mathematically; the above expression is represented as thus:

To solve this, we simply multiply the numerator and the denominator together.
After multiplying these together, the next is to check if the resulting can be simplified
If yes,we simplify it and if otherwise, we live it like that.
So,



At this point, the fraction can't be simplified any further.
Hence,

Answer:
first find the surface area of one of the square and one of the triangle.
then multiple it by the number of square and triangle they have
finally add the total surface area of the triangle with the total surface area of the square.
Step-by-step explanation:
- for one square
area= base * width
= 10*10
=100
total area of square= number of square * area of one square
t=6*100
t=600
area = 1/2 base * height
= 1/2 *10*8.66
=43.3
total area of triangle=number of triangle* area of one triangle
t2=8*43.3
=346.4
total surface area= total surface area of the square+ total surface area of the triangle
=600+346.4
=946.4 in^2
A bar graph since I'm only going up by fives it's easy to show as a bar graph