Answer:
31x^2-13x
Step-by-step explanation:
to find the perimeter of a triangle, add all sides.
P=a+b+c
P=(5x^2+x)+(8x^2-3x)+(18x^2-11x)
combine like terms
5x^2+8x^2-18x^2= 31x^2
x-3x-11x= -13x
31x^2-13x
There are 500 even numbers from 1 to 1000 starting with 2 and ending with 998. The sequence of even numbers is an arithmetic sequence with a common difference of 2. Using the equation for the arithmetic series,
S = (a1 + an)(n/2)
and substituting,
S = (2 + 998)(500/2)
we get,
S = 250,000
Therefore, the sum of all even numbers between 1 and 1000 is 250,000.
<em>Height of the pole (DC) is 57.2709m</em>
Step-by-step explanation:
Here, Wire DA and Wire DB supports a pole.
Given that Angle, A=54 , B= 72.
Also, AB = 23m
Now, Taking triangle BCD and Using basic trigonometry
Height of pole H = DC


Now, Taking triangle ACD and Using basic trigonometry


From figure, we know that
AC = AB + BC
AC - BC = AB = 23
Replacing values of AC and BC

Now, TanB= Tan72 =3.0776 and TanA = Tan54=1.3763




Thus, Height of thepole is 57.2709m