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elena55 [62]
2 years ago
14

I need help please!!

Mathematics
1 answer:
astraxan [27]2 years ago
3 0
D
It has 4 spots of lines instead of 3
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Given sin theta = 1/3 and 0 theta pi/2 find tan 2 theta
Kazeer [188]

Answer:

\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

Step-by-step explanation:

Given: \sin\theta = \dfrac{1}{3}

0\leq \theta \leq \dfrac{\pi}{2}

Theta lie in first quadrant.

Multiply both sides by 2

0\leq 2\theta \leq \pi

2theta lie in I and II quadrant.

\tan2\theta is positive in I and negative in II quadrant.

\sin\theta=\dfrac{1}{3}

\cos\theta=\dfrac{2\sqrt{2}}{3}

\sin2\theta=2\sin\theta\cos\theta

\sin2\theta=2\cdot \dfrac{1}{3}\cdot \dfrac{2\sqrt{2}}{3}=\dfrac{4\sqrt{2}}{9}

\cos2\theta=\pm \sqrt{1-\sin^22\theta}=\pm\dfrac{7}{9}

\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}

\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

Hence, The value of \tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

5 0
3 years ago
Read 2 more answers
Evaluate n+2x2 when n=3 and x=−2.
krok68 [10]

Answer:

When n=3 and x=−2  the answer is 11.

Step-by-step explanation:

Given:

Let p (n,x) be the function such that

p (n,x) = n + 2x^{2}

To Find:

p (n,x) = p ( 3, -2) = ?

Solution:

p (n,x) = n + 2x^{2}

Substituting n = 3 and x = -2 we get

p (3, -2) = 3 + 2(-2)^{2}

Negative square gives positive number therefore (-2)²=4

p (3, -2) = 3 + 2\times 4

p (3, -2) = 3 + 8\\p (3, -2) = 11

When n=3 and x=−2  the answer is 11.

7 0
3 years ago
ANSWER QUICKLY WILL GIVE BRAINLIEST
kherson [118]

Answer:

\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]

Step-by-step explanation:

The first one.

3 0
2 years ago
Write <br> 108<br> 13<br> as a mixed number.
gayaneshka [121]

Answer:

8 4/13 Is the Correct Answer!

Step-by-step explanation:

Numerator. This is the number above the fraction line. For 108/13, the numerator is 108.

Denominator. This is the number below the fraction line. For 108/13, the denominator is 13.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 108/13 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

108/13= 8.3076923076923 = 8

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (8) and multiply it by the original denominator (13). The result of that multiplication is then subtracted from the original numerator:

108 - (13 x 8) = 4

Step 3: Our mixed fraction

We've now simplified 108/13 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

8  

4

13

Step 4: Simplifying our fraction

In this case, our fraction (4/13) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 4 and 13 is 1.

xXxAnimexXx

6 0
3 years ago
Read 2 more answers
Paul purchased 3 video games for $17.25 each. Which expression is the best choice to help him determine the total amount of mone
amid [387]
(3)(17.25) = 51.75; he spent $51.75

Because everything in the problem is positive, no negative numbers are needed.
8 0
3 years ago
Read 2 more answers
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