Answer:
Option A.
Step-by-step explanation:
It is given that
The given expression is
Substitute the given values in the above expression.
Therefore, the correct option is A.
Answer:
a.8y³-6y
taking common
<u>2y(4y²-3)</u>
is a required answer
b.
3x²-20x+12
doing middle term factorization
3x²-18x-2x+12
3x(x-6)-2(x-6)
<u>(x-6)(3x-2)</u>
<u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u> </u><u>.</u>
Recall the sum identity for cosine:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
so that
cos(a + b) = 12/13 cos(a) - 8/17 sin(b)
Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,
cos²(a) + sin²(a) = 1 ⇒ cos(a) = √(1 - sin²(a)) = 15/17
cos²(b) + sin²(b) = 1 ⇒ sin(b) = √(1 - cos²(b)) = 5/13
Then
cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221
You write it as a ratio eg. SF(large→small)=20:7
To the nearest tenth = 4.4 and to the nearest whole number is 4. Whatever estimation it asks you.