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fiasKO [112]
3 years ago
10

Evaluate the expression using an appropriate double angle formula.. cos^2(15) - sin^2(15)

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0
Cos²(15°) - sin²(15°) = cos(15° * 2) = √(3/2 so this is the answer by using apropriate formula  double angle identity
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Answer:

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Step-by-step explanation:

There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.

So we can write it:

\frac{12}{20}  *  \frac{11}{19} *  \frac{10}{18} *  \frac{9}{17} =  \frac{11880}{116,280} = .102 or 10.2% chance

For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.

12 * 11 * 10 * 9 = 11880

20 * 19 * 18 * 17 = 116,280

We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.

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3 years ago
The length of a rectangle is 4x meters and its width is 5x meters determine the value of x and the width if the perimeter of the
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perimeter of a rectangle = 2 * width + 2 * length

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54 = 18x

divide both sides by 18 to isolate x

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