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3 years ago

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Mathematics

1 answer:

Zarrin [17]3 years ago

4 0

Please reformat your question so that I can try to help.

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9sin(2x) sin (x) = 9cos(x)

nikdorinn [45]

Answer:

$\sin(2x) = 2 \sin(x) \cos(x) \\ 9( 2 \sin(x) \cos(x) ) \sin(x) = 9 \cos(x) \\ 18 { \sin}^{2} (x)9 \cos(x) - 9 \cos(x) = 0 \\ 9 \cos(x) (2{ \sin}^{2} (x) - 1) = 0 \\ 9 \cos(x) = 0 \: or \: 2{ \sin}^{2} (x) - 1 = 0 \\ \sin(x) = \pm \frac{1}{ \sqrt{2} } \\ \cos(x) = 0 \\ x = { \cos}^{ - 1} (0) \\ x = \frac{ \pi}{2} = 90 \degree \\ x = \frac{ \pi}{2} + 2\pi \: n \: \forall \: n \: \in \: \Z \\ = 90 \degree + 360\degree\: n \: \forall \: n \: \in \: \Z \\ = \pm\frac{ \pi}{4} \pm2\pi \: n \: \forall \: n \: \in \: \Z \\ x = \pm45\degree \pm 360\degree\: n \: \forall \: n \: \in \: \Z$

8 0

2 years ago

The figures shown are similar. What is the scale factor? A.1/9 B.4/7 C.6/7 D.3/7

Rom4ik [11]

<span>B.4/7

You can check by taking 21 * 4/7 = 12 which is figure 2
</span>

6 0

3 years ago

Work out the percentage change to 2 decimal places when a price of £8.95 is increased to £10.

kicyunya [14]

Answer:

12% increase

Step-by-step explanation:

Divide the difference between the two prices by the original price:

1.05/8.95

= 0.12

So, the percent change is 12%

6 0

3 years ago

Victoria's town voted on a new speed limit. Out of 56 votes, 42 were in favor of the new speed limit. What percentage of the vot

victus00 [196]

Answer:

75% of the votes were in favor.

Step-by-step explanation:

To find the percent(rate), we use the formula r=p/b

The question is "What percent(rate) of 56 is 42?"

So fill in the formula and it will show as r=42/56, which is the rate will be equal to 42 divided by 56.

Perform the calculations and the result will show 0.75

Convert the decimal to a percent by moving the decimal point two places to the right and you will have 75% as your answer.

5 0

4 years ago

Fine the distance between p(2,8 and q(5,3)

defon

$d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$
$d = \sqrt{(5 - 2)^{2} + (3 - 8)^{2}}\$
$d = \sqrt{(3)^{2} + (-5)^{2}}$
$d = \sqrt{9 + 25}$
$d = \sqrt{34}$

7 0

4 years ago