If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.
So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.
This means that the perimeter is
feet long. But we know that this is 510 feet, so we have
.
So, the three sides are 110, 160 and 240 feet long.
To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if 
is half the perimeter of the triangle whose sides are 
, the area 
is given by
In our case, 
so the formula becomes
The indefinite integral ∫dx/x is ln(x), so your integral is
... 7(ln(15)-ln(3)) = 7ln(15/3)
... = 7ln(5) ≈ 11.266065387
Answer:
8, 10, 12
Step-by-step explanation:
x+x+2+x+4=30
3x+6=30
3x=30-6
3x=24
x=8
Final Answer: All Real Numbers
Steps/Reasons/Explanation:
Question: Solve for a. 
.
<u>Step 1</u>: Expand.
<u>Step 2</u>: Cancel 
on both sides.
<u>Step 3</u>: Since both sides equal, we would have infinitely many solutions.
~I hope I helped you :)~
Answer:
60 would be the angle correlated to the question
