Answer:
m∠A = 106°
Step-by-step explanation:
All three sides of the triangle are given in the question.
To find the measure of included angle A between two sides we will apply cosine formula,
BC²= AB² + AC² - 2(AB)(AC)cosA
(13)² = (10)² + (6)² - 2(10)(6)cosA
169 = 100 + 36 - 120cosA
cosA = 
cosA = -0.275
A = 
A = 105.96°
A ≈ 106°
Therefore, m∠A = 106° will be the answer.
Answer:
The x-coordinate is \dfrac{\pi}{6}[/tex].
Step-by-step explanation:
We are given a function f(x) as:

Now on differentiating both side with respect to x we get that:

When 
this means that 
Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval
.
also we know that
----(1) (which lie in the second quadrant)
so on comparing our equation with equation (1) we obtain:

Hence, the x-coordinates where
for
is
.
Answer:
B
Step-by-step explanation:
it is the opposite of A, which is true, as |-8| = 8
Answer:
Assume that the formula is true for the (k+1)term
Step-by-step explanation:
I learned this in class a couple weeks ago in intermediate algebra