Answer:
£265.10
Step-by-step explanation:
200+33.60+31.50=£265.10
- <em>42×</em><u>8=336=10%=33.60</u>
- <u>15×14=210=15%=31.50</u>
Answer:
The angles do not have the same reference angle.
Step-by-step explanation:
1) Angle 5π / 3 radians:
Convert radians to degrees: 5π/3 × 180° / π = 300°
300° is in the fourth quadrant
The reference angle for angles in the fourth quadrant is 360° - angle ⇒ 360° - 300° = 60°.
∴ The reference angle for this angle is 60°.
2) Angle 5π / 6 radians:
Convert radians to degrees: 5π/6 × 180° / π = 150°
150° is in the second quadrant
The reference angle for angles in the second quadrant is 180° - angle ⇒ 180° - 150° = 30°.
∴ The reference angle for this angle is 30°.
3) Conclusion:
Since the reference angles are different, the tangent ratios have different values.
tan (5π/3) = - tan(60°) = - √3
tan (5π/6) = - tan(30°) = - (√3)/3
Note that the tangent is negative in both second and fourth quadrants.
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Answer:
The answer is D. g(x) = (x+4)^2 - 2
Step-by-step explanation:
This is because f(x) = (x-h)^2 + k
where h = horizontal translations and k = vertical translations
Answer:
Infinitely many solutions.
Step-by-step explanation:
In the equation −2y + 2y + 3 = 3 we see only one variable, and that variable is of the first power. Ordinarily, we'd say that this equation will have 1 solution. However, if we combine like terms, we get 0 + 3 = 3, or 0 = 0, which is true for any and all y values. Infinitely many solutions.
Answer:
y = 
Step-by-step explanation:
Substitute x = - 2 into the equation and solve for y
3(- 2) + 5y = 8, that is
- 6 + 5y = 8 ( add 6 to both sides )
5y = 14 ( divide both sides by 5 )
y =
