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0.5+a=3.2 Answer please

Black_prince [1.1K]

0.5 + a = 3.2

3.2 - 0.5 = 2.7

7 0

2 years ago

Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

General solution of cos θ = cos ∝ is θ = 2nπ±∝

Now The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

3 years ago

Which figures demonstrate a translation?

tensa zangetsu [6.8K]

The two bottom graphs demonstrate translations.

<h3>Which figures demonstrate a translation?</h3>

We will have a translation only if:

The size of the figure does not change (like in option 1, which we can discard).
If the "direction" of the figure does not change, like in option 2, where you can see that there is a reflection.

The images where the figures are only moved a little bit are the ones that demonstrate just a translation, and these are the two lower ones.

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

8 0

2 years ago

Determine if the function is even, odd, or neither.

Gre4nikov [31]

Answer:

6

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available swimmers

Trava [24]

The number of unique ways is given by the number of possible

combination having distinct members.

The number of unique ways there are to arrange 4 of the 6 swimmers are 15 ways.

Reasons:

The given parameters are;

The number of swimmers available = 6 swimmers

The number of swimmers the coach must select = 4 swimmers

Required:

The number of unique ways to arrange 4 of the 6 swimmers.

Solution:

The number of possible combination of swimmers is given as follows;

$_4C_6 = \dfrac{6!}{4! \times (6 - 4)!} = 15$

Therefore, the coach can select 4 of the 6 available swimmers in 15 unique ways

Learn more here:

brainly.com/question/23589217

8 0

2 years ago