Answer:
The correct answer is B. 51.165
I can't help if I don't have the text book
Supplementary angles add to equal 180 degrees. If two angles are supplementary and one angle measures 10x degrees and the other angle measures 70 degrees, you can set the sum of 10x and 70 equal to 180 and solve algebraically for x.
180 = 10x + 70
110 = 10x
11 = x
Answer:
x = 11
Answer:
Region 1 : 3
Region 2: 2
Step-by-step explanation:
Given the inequalities :
2x - 1 > 3 and 3(x-3)<0
To obtain a value inneachbregionwhicj makes the inequality or inequalities true, we solve for x
Inequality 1 :
2x - 1 > 3
Add 1 to both sides
2x - 1 + 1 > 3 + 1
2x > 4
Divide both sides by 2
2x/2 > 4/2
x > 2
(3, 4,..)
Inequality 2:
3(x-3)<0
3x - 9 < 0
Add 9 to both sides
3x - 9 + 9 < 0 + 9
3x < 9
Divide both sides by 3
3x/3 < 9/3
x < 3
(2, 1,,)
Answer:
a)
b)
c)
d)
Step-by-step explanation:
a) The problem tells us that angle is in the second quadrant. We know that in that quadrant the cosine is negative.
We can use the Pythagorean identity:
Where we have used that the secant of an angle is the reciprocal of the cos of the angle.
Since we know that the cosine must be negative because the angle is in the second quadrant, then we take the negative answer:
b) This angle is in the first quadrant (where the sine function is positive. They give us the value of the cosine of the angle, so we can use the Pythagorean identity to find the value of the sine of that angle:
where we took the positive value, since we know that the angle is in the first quadrant.
c) We can now find by using the identity:
Notice that we need to find , which we do via the Pythagorean identity and knowing the value of the cosine found in part a) above:
Then:
d)
Since
then