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3 years ago

What is the value of x in the equation shown below? 2(x+8)-4x=10x+4

Mathematics

2 answers:

olganol [36]3 years ago

4 0

Answer:

x=1

Step-by-step explanation:

Isolate the variable usually by dividing it by factors that don't contain the variable.

Hope this helps.

rosijanka [135]3 years ago

3 0

Answer:

x = 1

Step-by-step explanation:

$2(x+8)-4x=10x+4\\=>2x+16-4x=10x+4\\$

Shifting the variable terms on left side gives :-

$2x-4x-10x=4-16\\=>-12x=-12\\=>x=\frac{-12}{-12}=1$

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If the sine ratio is given, then how can sin 0/2 be determined?

pogonyaev

Step-by-step explanation:

If you know, the sine. You must find the cos ratio, using the Pythagorean trig theorem.

Next, you use the half angle identity for sin

$\sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos(a) }{2} }$

Example.

$\sin( \alpha ) = \frac{ \sqrt{3} }{2}$

We must find

$\sin( \frac{ \alpha }{2} )$

First, use the Pythagorean identity

$\sin {}^{2} ( \alpha ) + \cos {}^{2} ( \alpha ) = 1$

$( \frac{ \sqrt{3} }{2} ) {}^{2} + \cos {}^{2} (a) = 1$

$\frac{3}{4} + \cos {}^{2} (a) = 1$

$\cos {}^{2} (a) = \frac{1}{4}$

$\cos( \alpha ) = \frac{1}{2}$

Now use the half angle identiy

$\sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos( \alpha ) }{2} }$

$= \frac{ \sqrt{1 - \frac{1}{2} } }{ \sqrt{2} }$

$= \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} }$

$= \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{1} }{ \sqrt{4} } = \frac{1}{2}$

So the answer for our example is 1/2

8 0

2 years ago

How do you divide $306 into the ratio of 9:5:3? Can someone give me some advice on how to solve this problem?

GarryVolchara [31]

In order to divide $306 into the ratio of 9 to 5 to 3, first you have to make each section of the ratio represented by a variable, and put it into an equation.

9x + 5x + 3x = 306

Our next step is to simplify the left side of the equation by combining all of the like terms, the ones that contain variables.

17x = 306

Finally, to solve this equation, you have to divide both sides by 17 to isolate the variable x on the left side of the equation.

x = 18

However, this is not our answer as it isn't in a ratio format and doesn't really make sense. To find our ratio, we have to multiply each of our initial numbers (9, 5, and 3) by our variable, x.

9 * 18 = 162
5 * 18 = 90
3 * 18 = 54

You can verify that these numbers are correct because if you add them together you get 306.

Your final ratio is 162:90:54.

Hope this helps! :)

If you have a separate specific question about pre-tax prices and PMed me the link, I'd be happy to help you.

4 0

3 years ago

Brainliest solve 1-11 zoom in for 9 & 11

azamat

Just use m-a-t-h-w-a-y

5 0

3 years ago

What is the measure of Angle P Q R?

gogolik [260]

Answer:

Step-by-step explanation:

because on ed i took the quiz and got a 70 but on question one i had this and it said i was correct 74 is the right answer hope this helps