Answer:
See below.
Step-by-step explanation:
1. (1 / 2)[cos(a – b) – cos(a + b)]
= 1/2 ( cosa cosb + sina sinb - (cosa cosb - sina sinb)
= 1/2 ( cosa cosb - cosa cos b + sina sinb + sina sinb)
= 1/2 ( 2 sina sinb)
= sina sinb.
(I used the 2 identities cos(a - b) = cosa cosb + sina sinb) and
cos (a + b) = cosa cosb - sina sinb.)
2. sin (π/2 - x) = sin (π/2) cos x - cos(π/2) sin x
= 1 * cos x - 0 * sinx
= cosx - 0
= cos x.
(I used the identity sin(a - b) = sina cosb - cosa sinb
and the fact that sin(π/2) = 1 and cos (π/2) = 0. )
The answer is 12 because every 3 pizzas you get 2 side dishes so 8 divided by 2 equals 4 and 4 times 3 is 12. Hope this helps
125/300 so 300 at the bottom and 125 at the top 300-50 is 250 then 250(divided by)2=150
The first investor you invested $180,000 the second $270,000 and the third $450,000.
Solution:
2+3+5=10
900,000/10=90,000
90,000x2=180,000
90,000x3=270,000
90,000x5=450,000
It is given that the mountain climber's change in elevation over an 8-hour period is −248 feet. Therefore, to find the average change in elevation per hour for that time period all that we need to do is divide the total change in elevation by the the time taken.
Therefore, average change=
feet
Therefore, the first option is the correct option.
