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kompoz [17]
2 years ago
14

What is the exact value of cos (7pi/8)

Mathematics
1 answer:
Mrac [35]2 years ago
6 0

Answer:

The bottom one ....see below

Step-by-step explanation:

Using reference angle of pi/8   and half angle trig identity:

cos ( angle/2) = -sqrt  (1 + cos (angle) /2)

cos ( pi/4  / 2) = - sqrt (1+ cos ( pi/4)/2)

  <u> cos (pi/8)</u>      = -    sqrt (1 + sqrt (2) / 2)

                 = - sqrt (1 + sqrt 2) / sqrt 2     rationalize the denominator

                    = - sqrt ( sqrt 2 + 2) / 2

re arrange to

          - sqrt ( 2 + sqrt2)  / 2        the fourth answer  

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Which function has the same domain as y=2 sqrt x
Fiesta28 [93]
The domain of a function is the set of values for which the function is defined; i.e. the function outputs a value for an input from the domain. That means that we must be able to plug in numbers for x and get numbers from y.
We can't take the square root of negative numbers (ignoring imaginary numbers), so that means we can take the square root of any non-negative number; i.e. we can take the square root of zero, and any positive number.
Therefore, any function that can take in values of x that are zero or more than zero has the same domain as the given function. So y=\sqrt{x} is a function that has the same domain as y=2\sqrt{x}.
3 0
4 years ago
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A textbook weighs 2.5 pounds. How many kilograms does the textbook weigh? Round your answer to the nearest tenth of a pound. 1 k
Alenkasestr [34]
The solution to the problem is as follows:

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Asked: 2.5 lb -----> kg

Answer:

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Therefore, the weight of the book in kg is 1.1 kg.

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3 years ago
Apply the distributive property to create an equivalent expression.<br> 4(x - 2 + y) =
siniylev [52]
4x - 8 + 4y

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4+3(2r+2s)+3r<br><br> Simplify this expression
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Hello!

First you can distribute the 3

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3 0
3 years ago
As you can see I keep getting questions wrong.... Can you answer the last question?
aivan3 [116]

Answer:

  y = 0

Step-by-step explanation:

It is always a good idea to look at the question and make some observations about it. Here, you might observe ...

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The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.

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To solve the equation, you can write it in terms of powers of 3.

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  3^(-5y) = 3^(-19y)

  -5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3

  14y = 0 . . . . . . . . . . add 19y

  y = 0 . . . . . . . . . . . one solution

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The rules of exponents we used are ...

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4 0
3 years ago
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