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ELEN [110]
2 years ago
14

Find the exact value of sin(255∘)

Mathematics
1 answer:
Masteriza [31]2 years ago
5 0

Check the picture below.

\textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(255^o)\implies sin(135^o+120^o) \\\\\\ sin(135^o)cos(120^o)~~ + ~~cos(135^o)sin(120^o) \\\\\\ \left( \cfrac{\sqrt{2}}{2} \right)\left( -\cfrac{1}{2} \right)~~ + ~~\left( -\cfrac{\sqrt{2}}{2} \right)\left( \cfrac{\sqrt{3}}{2} \right)\implies -\cfrac{\sqrt{2}}{4}~~ - ~~\cfrac{\sqrt{6}}{4}\implies \cfrac{-2-\sqrt{6}}{4}

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15 points+brainliest!! please help asap, this is due tonight please!!
Masteriza [31]

Answer:

x=\sqrt{13}

Step-by-step explanation:

Base of the isosceles triangle = 4

Perpendicular of the triangle = 3

In an isosceles triangle , a perpendicular bisects a base equally. So, here the isosceles triangle consist of 2 right angled triangles.

In that right angled triangles,

Base = 4/2 = 2 (∵ A perpendicular divides a base into 2 equal parts. )

Perpendicular = 3

Hypotenuse = x

So , according to Pythagorean Theorem ,

Hypotenuse = \sqrt{Base^2 + Perpendicular^2}

Using all the values above into the formula gives :-

x =\sqrt{2^2 + 3^2} = \sqrt{4+9} =\sqrt{13}

3 0
3 years ago
What is the median of 16,94,66,29, and 40
anzhelika [568]
\textbf{Hello Friend}


Step-1 :- Arrange in order

=> 16 , 29 , 40 , 66 , 94


There are 5 numbers , the middle term will be Median .


Here , middle term is = 40 .


\bold{Median:} 40





Hope It helps You. ^_^
7 0
3 years ago
Read 2 more answers
How do you find the slope of a line perpendicular to a given line?
enyata [817]
You have a line:
y=mx+b  (slope-intercepted form)
m=slope of this line.

The slope of a line perpendicular to that given line will be: ´"m´"
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For example:
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The solpe fo a line perpendicular to "y=8x+3" is:
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5 0
3 years ago
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scoray [572]

Answer: 12

Step-by-step explanation:

You can multiply by 12 because to get rid of the fractions all terms should be divided by the LCM (ie the smallest multiple that is exactly divisible by 2, 4 and 3)

Multiples of 3 = 3, 6, 9, 12

Multiples of 4 = 4, 8, 12, 16

Multiples of 2 = 2, 4, 6, 8, 10, 12

Therefore the fractions should be multiplied by 12

5 0
2 years ago
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castortr0y [4]

Answer:I think the answer is letter B.

Step-by-step explanation:

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