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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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How do I solve for X?
Dmitriy789 [7]

The value of x in the special right triangle is 39.60 ft.

<h3>Right angle triangle</h3>

Right angle triangle has one of its angles as 90 degrees. The side and angles can be found using trigonometric ratios.

Therefore, let's find the base of the triangle with 30 degrees.

sin 30° = opposite / hypotenuse

1 / 2 = 7 / b

b = 14 ft

Let's use the value(14 ft) to find the height of the biggest triangle.

sin 30 = opposite / hypotenuse

sin 30 = 14 / h

0.5h = 14

h = 14 / 0.5

h = 28 ft

Therefore, let's find the value of x .

sin 45° = 28 / x

x = 28 / 0.70710678118

x = 39.5979797464

x = 39.60 ft

learn more on right triangle here: brainly.com/question/10412877

8 0
3 years ago
Just help me out with this polynomial i need help <br> { -m^{2} + 6} + { -4m^{2} + 7m + 2} =
PolarNik [594]

Answer:

-5m^2+7m+8

Step-by-step explanation:

Here, we add up two polynomials shown.

The polynomials are:

[-m^2 + 6]+[-4m^2 +7m + 2]

In order to add up the 2 polynomials shown, we have to see the "like terms" and add them up.

We add up the "m^2" terms and the constant (number) terms. There is one term with "m", so we leave it like that. Let's add up. Shown below:\

[-m^2 + 6]+[-4m^2 +7m + 2]\\=-m^2-4m^2+6+2+7m\\=-5m^2+7m+8

This is the sum of the 2 polynomials shown:  -5m^2+7m+8

7 0
3 years ago
The Knicks and Nets have a total 30 players.
Blababa [14]

Answer:

Step-by-step explanation:

From the problem statement, we can set up the following two equations:

K + N = 30

20K + 10N = 500

where K is the number of Knicks players, and N is the number of Nets players.

We can substitute the first equation into the second and solve for K

K + N = 30

N = 30 - K

20K + 10N = 500

20K + 10(30 - K) = 500

20K + 300 - 10K = 500

10K + 300 = 500

10K = 200

K = 20

5 0
3 years ago
Do you know the answer?
Anastaziya [24]

Answer:

c

Step-by-step explanation:

no need to explain

hope it helps

3 0
3 years ago
Help asap, please
makkiz [27]

Answer:

triangle ABC was translated up 4units and left 4 units

Step-by-step explanation:

8 0
3 years ago
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