we are given
![sin(\theta)=cos(73)](https://tex.z-dn.net/?f=%20sin%28%5Ctheta%29%3Dcos%2873%29%20)
we have to find theta
so, firstly we can write sin in terms of cos
![sin(\theta)=cos(90-\theta)](https://tex.z-dn.net/?f=%20sin%28%5Ctheta%29%3Dcos%2890-%5Ctheta%29%20)
now, we can set it equal
![cos(90-\theta)=cos(73)](https://tex.z-dn.net/?f=%20cos%2890-%5Ctheta%29%3Dcos%2873%29%20)
Since, both sides are cos
so, we can set angles equal
![90-\theta=73](https://tex.z-dn.net/?f=%2090-%5Ctheta%3D73%20)
now, we can solve for theta
we get
..............Answer
Answer:
One 'standard drink' is usually 12 ounces of regular beer (with 5% alcohol content).
So, a 60 ounce pitcher of beer will have 60/12 = 5 'standard' drinks.
B is another way. hope this helps
Answer:
Out put would be - 2
Step-by-step explanation:
![y = 3x \div 9 \\ y = \frac{3x}{9} \\ y = \frac{x}{3} \\ plug \: x = - 6 \\ y = \frac{ - 6}{3} \\ \huge \purple{ \boxed{ y = - 2}}](https://tex.z-dn.net/?f=y%20%3D%203x%20%5Cdiv%209%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B3x%7D%7B9%7D%20%20%5C%5C%20y%20%3D%20%20%5Cfrac%7Bx%7D%7B3%7D%20%20%5C%5C%20plug%20%5C%3A%20x%20%3D%20%20-%206%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B%20-%206%7D%7B3%7D%20%20%5C%5C%20%5Chuge%20%5Cpurple%7B%20%5Cboxed%7B%20y%20%3D%20%20-%202%7D%7D)
Answer:
6/7
Step-by-step explanation:
Total number of jerseys = 4 + 3 = 7
Now, the probability of picking a purple Jersey = number of purple jerseys/total number of jerseys = 3/7
Now let’s look at picking a jersey with even number
Even number jerseys are yellow two and yellow four and also purple two
So we have 3 even numbered jersey. The probability of picking an even numbered jersey is 3/7
In probability, once we have or, we add
The probability of picking an even numbered jersey or a purple jersey = 3/7 + 3/7 = 6/7