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bixtya [17]
3 years ago
10

Find the exact value of sin 165º.

Mathematics
2 answers:
ra1l [238]3 years ago
8 0

Answer:0.2588

Step-by-step explanation:

lisabon 2012 [21]3 years ago
4 0

Answer:

\frac{1}{4} ( \sqrt{6} - \sqrt{2} )

Step-by-step explanation:

Using the sine addition formula

sin(a + b) = sinacosb + cosasinb

and the exact values

sin45° = cos45° = \frac{\sqrt{2} }{2} , sin60° = \frac{\sqrt{3} }{2} , cos60° = \frac{1}{2}

Given

sin165°

Note that 165° = (120 + 45)°, thus

= sin(120 + 45)°

= sin120°cos45° + cos120°sin45°

= sin60°cos45° - cos60°sin45°

= ( \frac{\sqrt{3} }{2} × \frac{\sqrt{2} }{2} ) - ( \frac{1}{2} × \frac{\sqrt{2} }{2} )

= \frac{\sqrt{6} }{4} - \frac{\sqrt{2} }{4}

= \frac{1}{4} ( \sqrt{6} - \sqrt{2} )

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Answer:

Step-by-step explanation:

given

P= $26,000

R = 4%

T = 5 years

find I ?

I = P.R.T

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8 0
3 years ago
It allows us to express a very small or very large number in compact form, what is this.​
lesya692 [45]
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Explanation:







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4 0
2 years ago
Find an obtuse angle whose sine is<br> a) 0.25<br> b) 0.75<br> c) 0.875<br> d) 0.3465
swat32

Answer:

a) 165.52 degrees.

b)  131.41 degrees.

c)  118.96 degrees.

d)  159.73 degrees.

Step-by-step explanation:

The sine of an obtuse angle is positive as it is in the second quadrant.

a) Using a calculate the angle whose sine ( arcsin) is 0.25  = 14.478 degrees

so the obtuse angle  = 180 - 14.478 = 165.52 degrees to nearest hundredth

b) c) and d) are calculated in the same way.

7 0
3 years ago
(8 + 5r3 - 2r2) - (8r - 8 - 6r2)<br> Simplify expression
Bingel [31]

Answer:

5r^3 + 4r^2 - 8r + 16

Step-by-step explanation:

(8 + 5r^3 - 2r^2) - (8r - 8 - 6r^2) =

The first set of parentheses is there just to show you that what is inside is a polynomial. The second set of parentheses has a second polynomial inside. The subtraction sign just to the left of the second set of parentheses shows that you are subtracting the second polynomial from the first one.

The first set of parentheses is not needed and can be dropped.

You are subtracting the second polynomial fromt he first one, so you can think of the the subtraction sign as a -1, and you need to distribute the -1 by the second polynomial, That will result in all signs inside the second set of parentheses changing.

Below, just the first set of parentheses is removed.

= 8 + 5r^3 - 2r^2 - (8r - 8 - 6r^2)

Now, we change every sign inside the second set of parentheses by distributing -1.

= 8 + 5r^3 - 2r^2 - 8r + 8 + 6r^2

Now we need to combine like terms. Like terms have the same variable part. We can rearrange the terms grouping like terms together before combining them. Also, it is customary to list the terms in descending order of degree.

= 5r^3 - 2r^2 + 6r^2 - 8r + 8 + 8

Now we combine like terms.

= 5r^3 + 4r^2 - 8r + 16

6 0
3 years ago
The hours since a person has eaten and the strength of hunger they feel. what is the independent and dependent variable?
Korvikt [17]
The hours are independent, time keeps flowing. but the hunger depends on hours. If time itself stopped, so would all matter, and thus, you would never be hungry.
8 0
3 years ago
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