In my backyard, there are chickens and dogs(no other animals). Among them, there is a total of 220 eyes and 266 legs. How many dogs do I have in my backyard?

There are 87 chicken and 23 dogs.

Step-by-step explanation:

Let the no. Of dogs be 'a'

Let the no. Of chicken be 'b'

Given that

Total no. of eyes= 220

2a + 2b = 220

Total no. of legs = 266

4a + 2b = 266

Solve the equations

4a + 2b = 266

2a + 2b = 220

We get,

2a = 46

a = 23

2a + 2b = 220

46 + 2b = 220

2b = 174

b = 174/2

b = 87

There are 87 chickens and 23 dogs

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,