Answer:
bro you didnt put no picture up
Step-by-step explanation:
The distance (r) between any two points (a,b) and (c,d) is :—
Putting the values,
The distance between the points is √41
For the answer to the question above, I'll provide a solution to my answer below
sin²θ + cos²θ = 1
<span>so, cos²θ = 1 - (5/6)² => 11/36 </span>
<span>=> cosθ = ±√11/6 </span>
<span>Also, tanθ = sinθ/cosθ => (5/6)/(±√11/6) </span>
<span>i.e. tanθ = ±5/√11
</span>I hope my answer helped you. Feel free to ask more questions. Have a nice day!
Smaller Angle: 49 degrees
Bigger Angle: 131 degrees
Note that supplementary angles add up to be 180 degrees. Knowing this and the information provided in the question, we can use the following system of equations:
x + y = 180 (showing they both add up to 180)
x + 82 = y (to show one angle is 82 more than the other)
We can use the substitution method to solve. Since the second equation ends in "= y" we can substitute the value of it into y for the first equation.
x + y = 180; x + 82 = y ==> x + (x + 82) = 180
And now, solve for x:
x + (x + 82) = 180
x + x + 82 = 180 > combine like terms
2x + 82 = 180
2x = 98
x = 49
So now we have the value for one of the angles! Remembering that the other angle is 82 degrees bigger, dd 49 + 82, which equals 131.
So, our two angle values are 131 and 49! This is correct since both angle measures add up to be 180, which also makes them supplementary!
Answer:
32
Step-by-step explanation:
We can either add all the terms.
2+6=8
2,8
8+6=14
2,8,14
14+6=20
2,8,14,20
20+6=6
2,8,14,20,26
26+6=32
2,8,14,20,26,32
The Sixth term is 32
or We can multiply 6 times 5 (30) and add 2, which would give us 32.
The reasoning behind this is that we are adding six five times (so six times five) and we are also adding the first term (2).
