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:
24 + 30 = 54 pancakes flipped in 2 minutes :)
Step-by-step explanation:
damon = 5 pancakes in 20 seconds
we do 20 x 3 and 5 x 3 to find how many pancakes he can flip in a minute
15 pancakes and a minute, we then multiply them by 2 to get the amount for 2 minutes
30 pancakes flipped in 2 minutes
Hailey = 2 pancakes in 10 seconds. to make it an equal amount of pancakes per second with damon, i will multiply them by 2 to have 4 pancakes in 20 seconds
we will then do 4 x 3 and 20 x 3 to find out how many pancakes per minute
then we multiply by 2 for 2 minutes
Yes
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When you are multiplying an exponent directly into a number/variable with an exponent, you multiply the exponents together.
For example:


When you are multiplying a variable with an exponent by another variable with an exponent, you add the exponents together.
For example:



You multiply 3 into each exponent in the numerator and the denominator

When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.

When you have something like this:

You subtract the exponents together, so:

Your answer is the second option
9514 1404 393
Answer:
A, B, D
Step-by-step explanation:
The sides in order from smallest to largest are ...
AC, BC, AB
Then the opposite angles in order from smallest to largest are ...
B, A, C
Let's consider the choices:
A. m∠A < m∠C --- true
B. m∠B = m∠C --- true
C. m∠A < m∠B --- false
D. m∠B < m∠A < m∠C --- true