An animal shelter has a total of 275 animals composed of dogs and cats. the number of cats is 5 more than one half of the number of dogs. how many dogs are in the shelter?

There are 180 dogs in the shelter.

Step-by-step explanation:

Let be "c" the number of cats in the shelter and "d" the number of dogs in the shelter.

You know that the total number of dogs and cats in the animal shelter is 275. Then you can express this with:

If the number of cats is 5 more than one half of the number of dogs, you can express it with:

Then, substitute into and solve for "d" to calculate the number of dogs that are in the shelter. Then:

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)