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Snezhnost [94]
3 years ago
6

Find all numbers whose absolute value is -6.

Mathematics
1 answer:
OLEGan [10]3 years ago
4 0

Answer: 0

Step-by-step explanation:

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The angle θ 1 is located in Quadrant IV, and cos ⁡ ( θ 1 ) = 9/ 19 , theta, start subscript, 1, end subscript, right parenthesis
Firdavs [7]

Answer:

sin\theta_1 =  - \frac{2\sqrt{70}}{19}

Step-by-step explanation:

We are given that \theta_1 is in <em>fourth</em> quadrant.

cos\theta_1 is always positive in 4th quadrant and  

sin\theta_1 is always negative in 4th quadrant.

Also, we know the following identity about sin\theta and cos\theta:

sin^2\theta + cos^2\theta = 1

Using \theta_1 in place of \theta:

sin^2\theta_1 + cos^2\theta_1 = 1

We are given that cos\theta_1 = \frac{9}{19}

\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 =  \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 =  \dfrac{280}{361}\\\Rightarrow sin\theta_1 =  \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 =  +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}

\theta_1 is in <em>4th quadrant </em>so sin\theta_1 is negative.

So, value of sin\theta_1 =  - \frac{2\sqrt{70}}{19}

6 0
3 years ago
Find the value of x.
ratelena [41]

Answer:

x= 4

Step-by-step explanation:

i dont think u need explanation but lmk if u do :)

4 0
3 years ago
Two planes A and B start from the same place and move in different directions making an angle of 50° between them the speed of p
Alika [10]

Answer:

The distance between them is 230.65 miles

Step-by-step explanation:

Here we use the Cosine formula

a^2 = b^2 + c^2 - 2bc\ cos\ A\\\\a^2 = 200^2 + 300^2 - 2\times 200\times 300cos50^{\circ}\\\\= 40,000 + 90,000 - 120,000cos50^{\circ}\\\\= 130,000 - 120,000 \times 0.64\\\\= 130,000 - 76,800\\\\a^2= 53,200\\\\a = \sqrt{53,200} \\\\= 230.65\ miles\ per\ hour

Now the distance for one hour is

= 230.65 ÷ 1

= 230.65 miles

4 0
3 years ago
Is the sum of the
Olin [163]
Answer
Yes


Explanation
I just know
8 0
3 years ago
6% of a value is 510
Dennis_Churaev [7]

Answer:

The value is 8500

Step-by-step explanation:

Of means multiply and is means equals

6% * V = 510

Change percent to decimal form

.06V = 510

Divide each side by .06

V = 510/.06

V =8500

6 0
3 years ago
Read 2 more answers
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