Answer:
x = 41.81°, 138.19°, 210°, 330°
Explanation:
3cos(2x) + sin(x) = 1
subtract one from both sides
→ 3cos(2x) + sin(x) − 1 = 0
rewrite using trigonometry identities
→ 2 + sin(x) − 6sin²(x) = 0
solve x by substitution
f(x) = 2 + sin(x) − 6sin²(x)
= 2 + 4sin(x) - 3sin(x) − 6sin²(x)
= −2sinx(3sinx −2) − (3sinx−2)
= (3sinx −2)(−2sinx−1)
= −(3sinx −2)(2sinx+1)
f(x) = 2 + sin(x) − 6sin²(x) = 0
= −(3sinx −2)(2sinx+1) = 0
(3sinx −2) = 0 (2sinx+1) = 0
→sinx = 2/3 →sinx = −1/2
x = 41.81°, 138.19° x = 210°, 330°
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60 minutes is 20% of 300 minutes
hope i helped
Answer:
The answer to your question is $473.2
Step-by-step explanation:
Data
Payment $0.48 / 0.5 mile
bonus $35 for 150 miles
Distance driven = 420 miles
Process
1.- Calculate the bonus
420 / 150 = 2.8 then he will receive 2 bonuses = 2 x $35
= $70
2.- Calculate the payment for every half mile
420 / 0.5 = 840
840 x 0.48 = $ 403.2
3.- Total payment before taxes
Payment = $403.2 + $70
= $473.2
Answer:
D. (2, 1)
Step-by-step explanation:
slope = 1/2
y-intercept = 0
Equation: y = 1/2 x
Choice A:
x = 0
y = (1/2)(0) = 0
Choice A does not work.
Choice B:
x = 1/2
y = (1/2)(1/2) = 1/4
Choice B does not work.
Choice C:
x = 1
y = (1/2)(1) = 1/2
Choice C does not work.
Choice D:
x = 2
y = (1/2)(1) = 1
Choice D works.
Answer: D. (2, 1)
Answer:
you need to subtract
Step-by-step explanation:
