Step-by-step explanation:
To get the inverse, swap the x- and y-variables, then solve for y. We should have the equation:
Solving for y:
because or
So on interchanging the variable, we get the equation:
So for this, this can be written into the equation
(x = number of months, y = total cost).
To solve this problem, we need to plug in 1325 into the y-variable and solve from there.
Subtract 35 on each side to get
Then just divide by 50 on each side, and your answer should be
And because we cannot go past budget, we will have to round down to 25.
In context, the maximum amount of months Abbey can do is 25 months.
Answer:
The sum of interior angles is found by using the following equation:
∑ of interior angles = (S - 2)180
S = sides.
Note that the sum is given to you, or 1620. Plug in 1620 for the sum:
1620 = (S - 2)180
Next, isolate the variable, s. Note the equal sign, what you do to one side, you do to the other. Divide 180 from both sides:
(1620)/180 = ((S - 2)180)/180
S - 2 = 1620/180
S - 2 = 9
Next, isolate the variable, s. Add 2 to both sides:
S - 2 (+2) = 9 (+2)
S = 9 + 2
S = 11
~
Answer:
Correct answer: second quadrant angle is 3π/4
fourth answer (2√2 + π) / 4
third quadrant angle is 5π/4
first answer (-2√2 + π) / 4
Step-by-step explanation:
Your question does not define the quadrant in which the angle is of the
cos⁻¹ (- √2/2).
If it is in the second quadrant then the angle is 3π/4 and if it is in the third quadrant then the angle is 5π/4
1) second quadrant angle is 3π/4
sin ( cos⁻¹ (- √2/2)) + tan⁻¹ ( sin ( π/2)) = sin ( 3π/4) + tan⁻¹ 1 =
= √2/2 + π/4 = (2√2 + π) / 4
2) third quadrant angle is 5π/4
sin ( cos⁻¹ (- √2/2)) + tan⁻¹ ( sin ( π/2)) = sin ( 5π/4) + tan⁻¹ 1 =
= - √2/2 + π/4 = (-2√2 + π) / 4
God is with you!!!