The answer is: The first triangle. The reasons are shown below:
1. All the triangles are rigth triangles, because they have an angle of 90°. So, let's calculate the others angles of the first one:
Tan(α)^-1= opposite leg/adjacent leg
Opposite leg=5
Adjacent leg=5√3
Tan(α)^-1= 5/5√3
Tan(α)^-1=30°
2. Let's calculate the other angle:
Tan(α)^-1= opposite leg/adjacent leg
Now, the opposite leg will be 5√3 and the adjacent leg will be 5. Then:
Tan(α)^-1= 5√3/5
Tan(α)^-1=60°
As you can see, the angles of first triangle are: 30°,60° and 90°.
Answer:
There are 48 numbers that satisfy the condition
Step-by-step explanation:
Find the relationship between 3 and 12
3 * 4 = 12
The maximum number of multiples of 12 within 200 is 18.
The maximum number of multiples within 200 is 66.
So the number of numbers within 200 that go exactly into 3 but not exactly into 12 is:
66-18 = 48
5(2x^2 - 5x - 3) = 5(2x + 1)(x - 3)
hope this helps :)
Answer:
q=-5
Step-by-step explanation:
6+q=1
Isolate the variable by subtracting 6 from both sides of the equation
q=1-6
q=-5