Answer:
Step-by-step explanation:
Let y = sin(x+y)
Differentiating with respect to x on both sides.
![\frac{dy}{dx} = \frac{d}{dx} \sin(x + y) \\ \\ \frac{dy}{dx} = \cos(x + y)\frac{d}{dx} (x + y) \\ \\ \frac{dy}{dx} = \cos(x + y)(1 + \frac{dy}{dx}) \\ \\ \frac{dy}{dx} = \cos(x + y) +\cos(x + y) \frac{dy}{dx} \\ \\ \frac{dy}{dx} - \cos(x + y) \frac{dy}{dx} = \cos(x + y) \\ \\ \frac{dy}{dx} [1 - \cos(x + y)] = \cos(x + y) \\ \\ \purple {\bold {\frac{dy}{dx} = \frac{ \cos(x + y)}{[1 - \cos(x + y)] }}}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%3D%20%20%5Cfrac%7Bd%7D%7Bdx%7D%20%20%5Csin%28x%20%2B%20y%29%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%3D%20%20%5Ccos%28x%20%2B%20y%29%5Cfrac%7Bd%7D%7Bdx%7D%20%20%28x%20%2B%20y%29%20%5C%5C%20%20%5C%5C%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%3D%20%20%5Ccos%28x%20%2B%20y%29%281%20%2B%20%5Cfrac%7Bdy%7D%7Bdx%7D%29%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%3D%20%20%5Ccos%28x%20%2B%20y%29%20%2B%5Ccos%28x%20%2B%20y%29%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%20-%20%5Ccos%28x%20%2B%20y%29%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20%20%5Ccos%28x%20%2B%20y%29%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%5B1%20-%20%5Ccos%28x%20%2B%20y%29%5D%20%3D%20%20%5Ccos%28x%20%2B%20y%29%20%5C%5C%20%20%5C%5C%20%5Cpurple%20%7B%5Cbold%20%7B%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%3D%20%20%5Cfrac%7B%20%5Ccos%28x%20%2B%20y%29%7D%7B%5B1%20-%20%5Ccos%28x%20%2B%20y%29%5D%20%7D%7D%7D%20)
I think its b but i am not surely sure so you might want to check with someone else
The history museum is less that 9 4/5 miles. 9/10 means that the 9 3/4 mile is broken up into 10 equal parts and the distance to the museum is only 9 of those parts. 9 3/4 (9.8) divided by 10 equals 98/100 (.98)
98/100 x 9 = 882/100 or 8.82
Justin's house is 8.82 miles from the museum.
Answer:
(a) 
(c) 
Step-by-step explanation:
(a) To find verify the answer we need to multiplying the equation

Thus, this statement is true.
(b) To find verify the answer we need to multiplying the equation 

Hence, the given statement is false.
(c) To find verify the answer we need to multiplying the equation 

Hence, the given statement is true.
(d) To find verify the answer we need to multiplying the equation

Hence, the given statement is false.
Answer:

Step-by-step explanation:
Let's pretend the empty, white space in the middle is a triangle. A right triangle. then we just use the pythogerean theorem to get the a.
