Correct answer for the above question is - option B. 86°
<u>Step-by-step explanation:</u>
Given:
∠NOP = 24°
∠NOQ = 110°
∠NOP and ∠POQ are adjacent angles
To Find:
∠POQ = ?
Solution:
Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )
∠NOQ - ∠NOP = ∠POQ
∠POQ = 110° - 24°
<u>∠POQ = 86°</u>
Angle POQ is 86°
Thus we can conclude option B as correct answer.
Find an explicit formula for the arithmetic sequence 12, 5, -2, -9,...12,5,−2,−9,...12, comma, 5, comma, minus, 2, comma, minus,
Andrew [12]
Answer:
A(n) = 19 - 7n
Step-by-step explanation:
12, 5, -2, -9,...
First term, a = 12
Common difference, d = a2 - a1
a2 = 5
a1 = 12
Common difference, d = a2 - a1
= 5 - 12
= -7
d = -7
A(n) = a + (n - 1)d
A(n) = 12 + (n - 1) -7
= 12 + (-7n + 7)
= 12 - 7n + 7
= 12 + 7 - 7n
= 19 - 7n
A(n) = 19 - 7n
The maximum value of the function y= -3+4 cos(5pi/6(x+4)) can be determined by differentiating the equation then make the derived function equal to zero. In this case, the function becomes 4 sin (5pi/6(x+4)) * (5pi/6) or equal to 10pi/3 sin (5pi/6(x+4)) = 0. sin -1 of 0 is equal to zero. hence, 5pi/6(x+4) should be zero. x is equal to -4. substituting -4 in the original equation,<span>y= -3+4 cos(5pi/6(-4+4)) is equal to 1. The maximum value is 1. </span>
Answer:
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Step-by-step explanation:
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7(p+3q) cross multiply out, so now you have 7p+21q. This is the same thing as 7p+21q=0
Subtract 21q from both sides of the equation
7p=-21q
Divide by 7...
p=-3q
This is simplified as you can get it.