2cos(x) - 4sin(x) = 3
use identity [cos(x)]^2 +[ sin(x)]^2 = 1 => cos(x) = √[1 - (sin(x))^2]
2√[1 - (sin(x))^2] - 4 sin(x) = 3
2√[1 - (sin(x))^2] = 3 + 4 sin(x)
square both sides
4[1 - (sin(x))^2] = 9 + 24 sin(x) + 16 (sin(x))^2
expand, reagrup and add like terms
4 - 4[sin(x)]^2 = 9 + 24sin(x) + 16sin^2(x)
20[sin(x)]^2 + 24sin(x) +5 = 0
use quadratic formula and you get sin(x) = -0.93166 and sin(x) = -0.26834
Now use the inverse functions to find x:
arcsin(-0.93166) = 76.33 degrees
arcsin(-0.26834) = 17.30 degrees
you didn't include the graph
but i'm a guess c.
125 ÷ 3 = 41.6666666667
41.66666666667 X 2
= 83.3333......
Technically not correct, because you cannot split sixth graders into pieces, so you would probably round it to 84 students.
Answer:
Ana:48
Lorna:24
Together they are a total of 72 yrs old
Answer:
(3X8) - 4 + 2 - 12
Step-by-step explanation:
Following the order of operations solve:
(24) - 4 + 2 - 12
20 + 2 - 12
22 - 12
10
Don't feel bad, this is an odd question and the parenthesis do not seem to be required. Following the order of operations would result in the same answer anyway...
Odd.
