Answer:
We have sinθ = 12/13
The method here is to figure out the value of θ
Using a calculator sin^(-1)(12/13) =67.38°
67.38° is in quadrant 1 so we must substract 67.38° from 180° wich is π
- 180-67.38= 112.61° ⇒ θ= 112.61°
Now time to calculate cos2θ and cosθ using a calculator
- cosθ = -5/13
- cos2θ = -0.7
The values we got make sense since θ is in quadrant 2 and 2θ in quadrant 3
Answer:
1 1/12
Step-by-step explanation:
3/4 + 1/3
Get a common denominator of 12
3/4 * 3/3 = 9/12
1/3 * 4/4 =4/12
9/12 + 4/12
13/12
12/12 + 1/12
1 1/12
we have
----> inequality 1
The solution of the inequality 1 is the shaded area below the solid red line
The solution is the region D and region C
-----> inequality 2
The solution of the inequality 2 is the shaded area above the solid blue line
The solution is the region B and region C
The solution of the system is the common area
so
The solution is the region C
see the attached figure
therefore
the answer is the option C
Region C
Answer:
x=21/40
Step-by-step explanation:
First get common denominators
3/8 *5 to top and bottom is now 15/40
3/20 *2 to top and bottom is now 6/40
isolate the X
x-15/40=6/40
+15/40 +15/40
x=21/40
