i got 28cm.... But im not sure
Answer:
Megan needs a 95 to get an average of 90.
Step-by-step explanation:
Add up the test scores Megan has earlier, you would get 355 as a result of all scores added. In order to get an average of 90%, you would need to accumulate 450 points which she will need to take her final exam on it. Subtract 355 from 450 to get a score of 95% in which she will need that score to average it to 90%.
Answer:
.
Step-by-step explanation:
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Answer: ![\sin \theta=\frac{-45}{53}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%3D%5Cfrac%7B-45%7D%7B53%7D)
Step-by-step explanation:
Since we have given that
![\cos\theta=\frac{28}{53}](https://tex.z-dn.net/?f=%5Ccos%5Ctheta%3D%5Cfrac%7B28%7D%7B53%7D)
And we know that θ is in the Fourth Quadrant.
So, Except cosθ and sec θ, all trigonometric ratios will be negative.
As we know the "Trigonometric Identity":
![\cos^2\theta+\sin^2\theta=1\\\\\sin \theta=\sqrt{1-\cos^2\theta}\\\\\sin \theta=\sqrt{1-(\frac{28}{53})^2}=\sqrt{\frac{53^2-28^2}{53^2}}\\\\\sin \theta=\sqrt{\frac{2025}{53^2}}\\\\\sin \theta=\frac{45}{53}](https://tex.z-dn.net/?f=%5Ccos%5E2%5Ctheta%2B%5Csin%5E2%5Ctheta%3D1%5C%5C%5C%5C%5Csin%20%5Ctheta%3D%5Csqrt%7B1-%5Ccos%5E2%5Ctheta%7D%5C%5C%5C%5C%5Csin%20%5Ctheta%3D%5Csqrt%7B1-%28%5Cfrac%7B28%7D%7B53%7D%29%5E2%7D%3D%5Csqrt%7B%5Cfrac%7B53%5E2-28%5E2%7D%7B53%5E2%7D%7D%5C%5C%5C%5C%5Csin%20%5Ctheta%3D%5Csqrt%7B%5Cfrac%7B2025%7D%7B53%5E2%7D%7D%5C%5C%5C%5C%5Csin%20%5Ctheta%3D%5Cfrac%7B45%7D%7B53%7D)
It must be negative due to its presence in Fourth quadrant.
Hence, ![\sin \theta=\frac{-45}{53}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%3D%5Cfrac%7B-45%7D%7B53%7D)