Answer:
- co-terminal
- reference
- 90°, 105°
- 2π, 7π/4
Step-by-step explanation:
For an explanation of vocabulary questions, consult a dictionary or vocabulary list
1) angles ending in the same place are "co-terminal."
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2) The acute angle between the terminal ray and the x-axis is the "reference angle."
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3) Multiply radians by 180°/π to convert to degrees.
a) π/2 × 180°/π = 180°/2 = 90°
b) 7π/12 × 180°/π = (7/12)(180°) = 105°
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4) To convert from degrees to radians, multiply by π/180°.
a) 360° × π/180° = 2π radians
b) 315° × π/180° = 7π/4 radians
Answer:
see explanation
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
8 - 6 = 10 - 8 = 2
This indicates that the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 6 and d = 2, thus
= 6 + 2(n - 1) = 6 + 2n - 2 = 2n + 4 ← explicit formula
Hence
= (2 × 130) + 4 = 260 + 4 = 264
Answer:
Step-by-step explanation:
Apply cross product property
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Distribute 5 through the parentheses
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Distribute 6 through the parentheses
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Move 6x to left hand side and change it's sign
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Collect like terms
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Move 30 to right hand side and change it's sign
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Calculate
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Divide both sides of the equation by 9
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Calculate
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Hope I helped!
Best regards!!
Answer:
-6
Step-by-step explanation:
-1+(-5)
You are moving down the numberline, then subtracting again because of the negative sign. -(1+5) is how I like to think of it.
So, 1+5=6, and you add the negative sign. -1+(-5)=-6.
Where are the number line choices!?
