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amid [387]
3 years ago
5

Someone pls help me

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
8 0
3 and proportional
Nesterboy [21]3 years ago
5 0
3 and yes it is ​‎.
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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
Suppose you have a box with 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull out one marble, record it
balandron [24]
5/9 because you have to add those two together and put that number over the total number of marbles.
4 0
3 years ago
Water runs from a pump at a rate of 0.5 gallons per minute. At this rate, how long would it take to fill a tub with a 150-gallon
lutik1710 [3]

Answer:

300 min or 5 hours

Step-by-step explanation:

so if it pumps 0.5 gallons per minute than in 2 minutes it would pump 1 whole gallon so with that we know 1gallon=2 minutes.

so with that we multipy both sides by 150 which will be 150 galons=300 minutes or 5 hours

3 0
3 years ago
X5+12x3-5x÷2x6+4x3+x2-2​
TEA [102]
22 I think If I worked it out right
7 0
3 years ago
What is3\8 +5/2 need help
scoray [572]
3/8 + 5/2
=3/8 + 20/8
= 23/8
or
= 2 7/8
6 0
3 years ago
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