Answer:
130
Step-by-step explanation:
<6 and <8 are vertical angles and vertical angles are equal
<6 = <8
130 = <8
Hello,
7π/3≡π/3 (mod 2π)
arcsin(sin(x))=x ((f^-1 o f)=1)
The equation and steps are...
First, find the slope of the original equation. In this case, the slope is -8. You know that perpendicular lines have slopes that are negative reciprocals, so the negative reciprocal of -8 is 1/8.
Now, use this new slope and the given point to find the y-intercept:
y = mx + b
4 = (?)(2) + b
4 = ? + b
15/4 = b
Use the new slope and y-intercept to write the new linear equation:
Answer:
y = 1/8x + 15/4
Sorry if i'm wrong
seemed easy
9514 1404 393
Answer:
![a_n=\dfrac{1}{2}n^3-\dfrac{1}{2}n^2+6n-3](https://tex.z-dn.net/?f=a_n%3D%5Cdfrac%7B1%7D%7B2%7Dn%5E3-%5Cdfrac%7B1%7D%7B2%7Dn%5E2%2B6n-3)
Step-by-step explanation:
The first differences are 8, 13, 21. The second differences are 5, 8. The second differences are not constant, so this is <em>not a quadratic sequence</em>.
If we assume it is a cubic sequence, a calculator tells us the formula is ...
![a_n=\dfrac{1}{2}n^3-\dfrac{1}{2}n^2+6n-3](https://tex.z-dn.net/?f=a_n%3D%5Cdfrac%7B1%7D%7B2%7Dn%5E3-%5Cdfrac%7B1%7D%7B2%7Dn%5E2%2B6n-3)
Answer:
3) 174°15'18"
4) 34.859722...(repeating)°
5) 434°, -286°
Step-by-step explanation:
There are 60 minutes in a degree, and 60 seconds in a minute.
3) To find minutes, multiply fractional degrees by 60:
.255° = 0.255°×(60'/1°) = 15.3'
To find seconds, multiply fractional minutes by 60:
0.3' = 0.3'×(60"/1') = 18"
Then the whole angle is ...
174.255° = 174° 15' 18"
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4) The conversion works the other way, too.
34° 51' 35" = 34° +51(1/60)° +35(1/3600)° = (34 619/720)°
= 34.8597222...° (a repeating decimal)
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5) Add or subtract multiples of 360° to get co-terminal angles.
74° +360° = 434°
74° -360° = -286°