Answer:
54
Step-by-step explanation:
since n = 3
= -2n ( 5n+n-8-3n)
= -2 (3) ( 5+(3)-8-3(3) )
= -6 (5+3-8-9)
= -6 (5-5-9)
= -6 (-9)
= 54.
Answer:
Step-by-step explanation:
common difference d=3-1=2
first term a=1
an=a+(n-1)d
2n-1=1+(l-1)2
2n-1=1+2l-2
2n-1=2l-1
l=n
(i used l for number of terms)
number of terms=n

Answer:
The volume of cylinder is:
49806.06 ft^3
Step-by-step explanation:
We are given a right circular cylinder with:
Height(h)=
and a diameter is
times it's height.
i.e.
times it height.
i.e. the diameter is given as:

We know that the radius of cylinder is half the diameter.
Hence, radius(r) of cylinder is:

The volume(V) of cylinder is given by:


Hence, the volume of cylinder is:
49806.06 ft^3
Answer:
The value of x is 75
Step-by-step explanation:
First we need to find the other angle that doesn't have a number in it.
To find the degrees of the other angle we subtract 155 from 180.
180 - 155 = 25
Now we have to find the value of x. Add 80 and 25 together to get 105. A triangle is going to be 180 degrees. Subtract 105 from 180.
180 - 105 = 75
Now we will add 80, 25, and 75 to check our work.
80+25+75 = 180