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
Answer:
-60
It is -60 because if it takes away 6 points for each cone you hit and you hit 10, then it would be -60 times 10, which equals -60.
What the two or more numbers or amounts? Something needs to be compared
The average weight in ounce for each piece of chocolate is 0.03.
Step-by-step explanation:
The heart-shaped box containing the chocolates has the weight of 2 pounds
The box contains 68 pieces of chocolates.To find the weight of each piece of chocolate, you divide the weight of the box with the number of chocolate pieces in the box.
This will be 2/68 = 0.0294117647
To the nearest hundredth you check the thousandths value and round off
In this case; 0.0294117647 = 0.03 pounds
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Keyword : pound, average, hundredth
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