Answer:
![sin O=\dfrac{3\sqrt{13}}{13}\\cos O=\dfrac{2\sqrt{13}}{13}\\tan O=\dfrac{3}{2}](https://tex.z-dn.net/?f=sin%20O%3D%5Cdfrac%7B3%5Csqrt%7B13%7D%7D%7B13%7D%5C%5Ccos%20O%3D%5Cdfrac%7B2%5Csqrt%7B13%7D%7D%7B13%7D%5C%5Ctan%20O%3D%5Cdfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
If the point (2,3) is on the terminal side of an angle in standard position.
Adjacent of O, x=2,
Opposite of O, y=3
Next, we determine the hypotenuse, r using Pythagoras Theorem.
![Hypotenuse =\sqrt{Opposite^2+Adjacent^2} \\r=\sqrt{3^2+2^2} \\r=\sqrt{13}](https://tex.z-dn.net/?f=Hypotenuse%20%3D%5Csqrt%7BOpposite%5E2%2BAdjacent%5E2%7D%20%5C%5Cr%3D%5Csqrt%7B3%5E2%2B2%5E2%7D%20%5C%5Cr%3D%5Csqrt%7B13%7D)
Therefore:
![sin O=\dfrac{Opposite}{Hypotenuse} \\sin O=\dfrac{3}{\sqrt{13}} \\$Rationalizing\\sin O=\dfrac{3\sqrt{13}}{13}](https://tex.z-dn.net/?f=sin%20O%3D%5Cdfrac%7BOpposite%7D%7BHypotenuse%7D%20%5C%5Csin%20O%3D%5Cdfrac%7B3%7D%7B%5Csqrt%7B13%7D%7D%20%5C%5C%24Rationalizing%5C%5Csin%20O%3D%5Cdfrac%7B3%5Csqrt%7B13%7D%7D%7B13%7D)
![cos O=\dfrac{Adjacent}{Hypotenuse} \\cos O=\dfrac{2}{\sqrt{13}} \\$Rationalizing\\cos O=\dfrac{2\sqrt{13}}{13}](https://tex.z-dn.net/?f=cos%20O%3D%5Cdfrac%7BAdjacent%7D%7BHypotenuse%7D%20%5C%5Ccos%20O%3D%5Cdfrac%7B2%7D%7B%5Csqrt%7B13%7D%7D%20%5C%5C%24Rationalizing%5C%5Ccos%20O%3D%5Cdfrac%7B2%5Csqrt%7B13%7D%7D%7B13%7D)
![Tan O=\dfrac{Opposite}{Adjacent} \\tan O=\dfrac{3}{2}](https://tex.z-dn.net/?f=Tan%20O%3D%5Cdfrac%7BOpposite%7D%7BAdjacent%7D%20%5C%5Ctan%20O%3D%5Cdfrac%7B3%7D%7B2%7D)
Answer:
1.) C. 32
2.) Stem-and-leaf plot
Step-by-step explanation:
This is a stem-and-leaf plot. The stem represents tens and the leaves represent units. To make it easier to look at, it is equivalent to this:
- 20, 28, 29, 29, 31, 32, 36, 41, 42
Now, to find the mean, add up all the numbers and divide the sum by the number of values.
(20 + 28 + 29 + 29 + 31 + 32 + 36 + 41 + 42)/9 = 288/9 = 32
Answer:
43242443534138
Step-by-step explanation:
Answer:
96 cm squared
Step-by-step explanation: