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3 years ago

What is the rest of the pattern of 22,17,12,7?

Mathematics

1 answer:

yanalaym [24]3 years ago

6 0

Answer:

22, 17, 12, 7, 2

Step-by-step explanation:

The next number is 2 because you're subtracting 5 from each number.

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given: sin theta= 2/3 and theta is in the second quadrant; evaluate the following expression. sin2theta

andre [41]

The value of $\sin(2\theta)$ is $-\frac {-4\sqrt 3 }9$

<h3>Sine ratio </h3>

The sine ratio is given as:

$\sin(\theta) = \frac23$

<h3>Trigonometry</h3>

In trigonometry, we have the following ratio

$\sin^2(\theta) + \cos^2(\theta) = 1$

Substitute $\sin(\theta) = \frac23$ in the above equation

$\frac 23 + \cos^2(\theta) = 1$

Collect like terms

$\cos^2(\theta) = 1 -\frac 23$

Evaluate

$\cos^2(\theta) =\frac 13$

Take square roots

$\cos(\theta) =\pm\frac 1{\sqrt 3 }$

Rationalize

$\cos(\theta) =\pm\frac {\sqrt 3 }3$

From the question, $\theta$ is in the second quadrant, and cosine is negative.

So, we have:

$\cos(\theta) =-\frac {\sqrt 3 }3$

In trigonometry, we have:

$\sin(2\theta) = 2\sin(\theta)\cos(\theta)$

So, we have:

$\sin(2\theta) = 2\times \frac 23 \times -\frac {\sqrt 3 }3$

$\sin(2\theta) = -\frac {-4\sqrt 3 }9$

Hence, the value of $\sin(2\theta)$ is $-\frac {-4\sqrt 3 }9$

Read more about trigonometry ratios at:

brainly.com/question/10417664

7 0

2 years ago

What is the sum of -2+(-6)=

Rasek [7]

prettStep-by-step explanation:

4 0

3 years ago

Read 2 more answers

Divide and write in simplest form 7/8 divided by 4

mrs_skeptik [129]

7over 8 equals 7 over 32

8 0

4 years ago

Read 2 more answers

Using a multiplier, find 85% of £30

Svetradugi [14.3K]

Answer:

£25.50

Step-by-step explanation:

I don't know what you mean by multiplier but to find 85% of £30 you do:

10% of 30 which is 3

80% is 24

5% is 1.5 (to find 5% you find 10% then divide by 2)

Now add 24 and 1.5. Do not add the 10% becuase we used it to help the 80%.

24+1.5=25.5

7 0

1 year ago

A map of a rectangular park has a length of 4 inches and a width olo and a width of 6 inches. It uses a scale of 1 inch for ever

Zielflug [23.3K]

Answer:

The actual area of the park is 21,600 miles square.

Step-by-step explanation:

<u>Step 1: Calculate the area of the park</u>

<em>Area of rectangle = Length x width</em>

Length = 4 inches

Width = 6 inches

Scale factor is given as, 1 inch = 30 miles.

So, converting the length and width in miles by using the scale factor, we get

Length = 4 * 30 = 120 miles

Width = 6 * 30 = 180 miles

The formula of finding the area of an rectangle is:

<em>Area = length x width</em>

By putting the values in equation, we get

Area = 120 x 180

Area = 21,600 miles square

Therefore, the actual area of the park is 21,600 miles square.

8 0

4 years ago