Looks more like Trig than Algebra II
They want us to apply the sum angle formula to 
5π/6 is 150°; I find it easier to think in degrees.
When the tangent of x is 3/4 that's a right triangle with opposite 3, adjacent 4 so hypotenuse 5. So a sine of 3/5 and a cosine of 4/5, both positive because we're told x is in the first quadrant.
The sine sum angle formula is


We know sin 150° = sin 30° = 1/2 and cos 150° = - cos 30° = -√3/2


Third choice
Answer:
{0.3, 3, 30, 300, 3000}
Step-by-step explanation:
Here a(1) = 0.3, and
a(2) = 3, and
a(3) = 30, and
a(4) = 300, and
a(5) = 3000
The first term (given) is 0.3, and the common ratio is 10.
Answer:
the pattern is to divide by 2
Step-by-step explanation:
so instead of 0 it would be 1
Because this triangle is an isosceles, we know that angle M and angle L are equal (as shown by the diagram)
So, we make the two values equal
5y-19=56
Take 19 to the other side as a positive
5y=75
y is equal to 15
But, we aren't done yet as the question asks us to find the value of k
So, we do
5*15-19+56+K=180
112+K=180
Take 112 to the other side as a negative number
180-112 is 68
So, angle K is equal to 68 degrees