<h3>
![\bold{Sin\theta_{1}=-\frac{4}{5}}](https://tex.z-dn.net/?f=%5Cbold%7BSin%5Ctheta_%7B1%7D%3D-%5Cfrac%7B4%7D%7B5%7D%7D)
</h3>
Answer:
Solution given
Cos![\displaystyle \theta_{1}=\frac{3}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctheta_%7B1%7D%3D%5Cfrac%7B3%7D%7B5%7D)
consider Pythagorean theorem
![\bold{Sin²\theta+Cos²\theta=1}](https://tex.z-dn.net/?f=%5Cbold%7BSin%C2%B2%5Ctheta%2BCos%C2%B2%5Ctheta%3D1%7D)
Subtracting
both side
![\displaystyle Sin²\theta=1-Cos²\theta](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Sin%C2%B2%5Ctheta%3D1-Cos%C2%B2%5Ctheta)
doing square root on both side we get
![Sin\theta=\sqrt{1-Cos²\theta}](https://tex.z-dn.net/?f=Sin%5Ctheta%3D%5Csqrt%7B1-Cos%C2%B2%5Ctheta%7D)
Similarly
![Sin\theta_{1}=\sqrt{1-Cos²\theta_{1}}](https://tex.z-dn.net/?f=Sin%5Ctheta_%7B1%7D%3D%5Csqrt%7B1-Cos%C2%B2%5Ctheta_%7B1%7D%7D)
Substituting value of ![Cos\theta_{1}](https://tex.z-dn.net/?f=Cos%5Ctheta_%7B1%7D)
we get
![Sin\theta_{1}=\sqrt{1-(\frac{3}{5})²}](https://tex.z-dn.net/?f=Sin%5Ctheta_%7B1%7D%3D%5Csqrt%7B1-%28%5Cfrac%7B3%7D%7B5%7D%29%C2%B2%7D)
<h3>Solving numerical</h3>
![Sin\theta_{1}=\sqrt{1-(\frac{9}{25})}](https://tex.z-dn.net/?f=Sin%5Ctheta_%7B1%7D%3D%5Csqrt%7B1-%28%5Cfrac%7B9%7D%7B25%7D%29%7D)
![Sin\theta_{1}=\sqrt{\frac{16}{225}}](https://tex.z-dn.net/?f=Sin%5Ctheta_%7B1%7D%3D%5Csqrt%7B%5Cfrac%7B16%7D%7B225%7D%7D)
![Sin\theta_{1}=\frac{\sqrt{2*2*2*2}}{\sqrt{5*5}}](https://tex.z-dn.net/?f=Sin%5Ctheta_%7B1%7D%3D%5Cfrac%7B%5Csqrt%7B2%2A2%2A2%2A2%7D%7D%7B%5Csqrt%7B5%2A5%7D%7D)
![Sin\theta_{1}=\frac{4}{5}](https://tex.z-dn.net/?f=Sin%5Ctheta_%7B1%7D%3D%5Cfrac%7B4%7D%7B5%7D)
Since
In IVquadrant sin angle is negative
![\bold{Sin\theta_{1}=-\frac{4}{5}}](https://tex.z-dn.net/?f=%5Cbold%7BSin%5Ctheta_%7B1%7D%3D-%5Cfrac%7B4%7D%7B5%7D%7D)
Answer:
2
Step-by-step explanation:
The question, is basically asking for the order of rotational symmetry for the parallelogram. This is 2, which means while spinning the parallelogram around its centre point 360 degrees, it looks exactly the same, or matches with its original at 2 points
Answer:
x = 6
Step-by-step explanation:
54/6 is 9. This is the only correct one.
Hope it helps!
Answer:
Carmen can make
full servings.
Step-by-step explanation:
Given : Carmen mixes
cups of water with
cups of juice to make punch.
Total quantity of punch Carmen made = total cup of water + cup of juice she mixes
Total quantity of punch Carmen made = ![3\frac{1}{2}+3\frac{3}{8}](https://tex.z-dn.net/?f=3%5Cfrac%7B1%7D%7B2%7D%2B3%5Cfrac%7B3%7D%7B8%7D)
Solving , we get,
Total quantity of punch Carmen made = ![\frac{7}{2}+\frac{27}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B2%7D%2B%5Cfrac%7B27%7D%7B8%7D)
taking LCM(2,8) = 8 , we get,
Total quantity of punch Carmen made = ![\frac{28+27}{8}=\frac{55}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B28%2B27%7D%7B8%7D%3D%5Cfrac%7B55%7D%7B8%7D)
Also, given She pours
cup servings of punch.
Thus,
cup of mixture makes 1 serving cup.
Using unitary method,
In unitary method we first find the value of a single quantity and then multiply it with the desired quantity.
1 cup of mixture makes
serving cup.
cup makes = ![\frac{3}{2}\times\frac{55}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%5Ctimes%5Cfrac%7B55%7D%7B8%7D)
cup makes = ![\frac{165}{16}=10\frac{5}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B165%7D%7B16%7D%3D10%5Cfrac%7B5%7D%7B16%7D)
Thus, She can make
full servings.