No the 4 goes over the zero because 20 doesn’t go into 8
Answer:
n=-44
Step-by-step explanation:
(n/4) times 4 equals n.
(-11)*4 = -44
n=-44
4.6 :)
( 0.1 hundreds, 0.01 thousands, etc.)
Answer:
11y + 1z
Step-by-step explanation:
Like terms are ones that have the same variable (or set of variables).
8y - 4z + 3y + 5z
= (8 +3)y +(-4 +5)z
= 11y +1z
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Usually written as 11y+z.
Since both α and β are in the first quadrant, we know each of cos(α), sin(α), cos(β), and sin(β) are positive. So when we invoke the Pythagorean identity,
sin²(x) + cos²(x) = 1
we always take the positive square root when solving for either sin(x) or cos(x).
Given that cos(α) = √11/7 and sin(β) = √11/4, we find
sin(α) = √(1 - cos²(α)) = √38/7
cos(β) = √(1 - sin²(β)) = √5/4
Now, recall the sum identity for cosine,
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
It follows that
cos(α + β) = √11/7 × √5/4 - √38/7 × √11/4 = (√55 - √418)/28
