Steps are included! Hope is right that’s how I would solve it
Answer:
- sin(x) = ±(√2)/2
- r.a. = 45°
- x = 45° +k·360°
- x = 135° +k·360°
- x = 225° +k·360°
- x = 315° +k·360°
- x ∈ {135°, 225°, 315°, 405°}
Step-by-step explanation:
Start by solving for sin(x).
4sin(x)² = 2
sin(x)² = 1/2 . . . . divide by 4
sin(x) = ±√(1/2) = ±(√2)/2
Use your knowledge of the sine function to recognize that the reference angle is 45°, and that the angles x will be ...
x = ±45° or 180°±45° with multiples of 360° added
The solutions in the desired range are ...
x ∈ {135°, 225°, 315°, 405°}
Answer:
18
Step-by-step explanation:
3⋅6−2+2
Use PEMDAS = Parentheses, Exponent, Multiplication, Division, Addition, Subtraction
First we multiply, then add or subtract so,
18 - 2 + 2
Now we subtract,
16 + 2
Now we add,
18
Answer:
The regular price of the ticket was $12.
Step-by-step explanation:
Let us call
the regular price of the tickets, and if she had bought tickets at this price, the total cost would have been
.
But Holly got $4 off the regular ticket price, that means one ticket cost her
and if she bought 23 tickets it cost her

and we are told this equals $184; therefore we have

now we solve this equation the following way:





Thus, the regular price was $12.
Answer:
b = 
Step-by-step explanation:
35b = 7
Divide both sides by 35.

Reduce the fraction
to the lowest terms by extracting and canceling out 7.

Hope it helps and have a great day! =D
~sunshine~