Answer:
x=5
Step-by-step explanation:
Total value of 11 numbers
14*11
154
Total value of 9 numbers
9*9
81
Total value of other 2 numbers
154 - 81
73
So average of other 2 numbers
73 / 2
36.5
If tan theta is -1, we know immediately that theta is in either Quadrant II or Q IV. We need to focus on Q IV due to the restrictions on theta.
Because tan theta is -1, the ray representing theta makes a 45 degree angle with the horiz axis, and a 45 degree angle with the negative vert. axis. Thus the hypotenuse, by the Pythagorean Theorem, tells us that the hyp is sqrt(2).
Thus, the cosine of theta is adj / hyp, or +1 / sqrt(2), or [sqrt(2)]/2
The secant of theta is the reciprocal of that, and thus is
2 sqrt(2)
---------- * ------------ = sqrt(2) (answer)
sqrt(2) sqrt(2)
Answer: -13w - 7
Step-by-step explanation:
-6w + (-8) + 1 + (-7w)
Combine the like terms
-8 + 1 = -7
-6w + (-7) + (-7w)
-6w + (-7w) = -13w
-13w + (-7)
However, because adding a negative number is the same as subtracting the number as a positive, you can just make it -13w - 7
Given:
The value is:
To find:
The smallest positive degree angle measure equivalent to .
Solution:
We have,
Using the scientific calculator, we get
Therefore, the smallest positive degree angle measure equivalent to is 23 degrees.
