Decide 60 by 4 that’s what I think cause it says there fourth
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
Answer:
A = 100 B = 130 C = 150
Step-by-step explanation:
Translated into a system of equations:
A+B+C = 380
B = A+30
C = B + 20
So we find B from the last one:
B = C-20
Plug it in the second one:
C-20 = A+30
A = C-50
Plug it in the first:
C-50 + C-20 + C = 380
3C - 70 = 380
3C = 450
C=150
A = C - 50 = 150 - 50 = 100
B = C - 20 = 150 - 20 = 130
Answer:
You'd earn $825 in interest.
Step-by-step explanation:
The appropriate formula for simple interest is i = p·r·t, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years. Because 8 months constitutes 2/3 year, we have:
i = $45,000·(0.0275)(2/3) = $825.
You'd earn $825 in interest.
230/1 times 12 1/2 on a fraction calculator should give you the answer :)
