There's a relatively easy way to solve problems of this nature. You determine the contribution made if the only contributor is the one that contributes the least.
A chicken has the least number of feet, so 24 chickens will contribute 48 feet.
Now, you consider the change in contribution made by substituting a larger contributor. Each pig that replaces a chicken will add 2 feet to the total.
Consider how many feet need to be added, and thus how many larger contributors are needed. 80 -48 = 32 feet need to be added, so 32/2 = 16 of the animals need to be pigs.
There are 16 pigs and 8 chickens.
Answer:
see explanation
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 8 - 5 = 11 - 8 = 14 - 11 = 17 - 14 = 20 - 17 = 23 - 20 = 3
This indicates the sequence is arithmetic
The common difference d = 3
The first term a₁ = 5 and
a₈ = 23 + 3 = 26
In order to find the lenght of the triangles you may use the next formula
<span>A(x1 , y1) , B(x2 , y2) </span>
<span>AB = sqrt[(x1-x2)^2+(y1-y2)^2]
</span>Still I have to say that the triangle you are describing is definitely Isosceles
I hope this works for you
At start: PE only
At end: KE and energy lost to friction
PE = KE + E
E = PE - KE
= mgh - (1/2)mv^2
= (40)(9.8)(12) - (.5)(40)(10)^2
= 2704J
