Answer:
2-1 = 1
Step-by-step explanation:
Hopefully help......
After Alex fill's the jug, the remaining volume of water will be 4 gallons
1 gallon is equivalent to 231 cubic inches
The volume of a cylinder is given by
V = πr²h
4 x 231 = π x 4² x h
h = 181.4 inches or 15.1 feet
X + y = 13
x - y = 5
x = (13 - y)
(13-y) - y = 5
13 - 2y = 5
-2y = -8
y = 4
x - 4 = 5
x = 9
x=9, y = 4
Answer:
y=18.2 x=5.6
Step-by-step explanation:
sin 73 = y/19
19 sin 73 = y
cos 73 = x/19
19 cos 73 = x
Answer:
is proved for the sum of pth, qth and rth terms of an arithmetic progression are a, b,and c respectively.
Step-by-step explanation:
Given that the sum of pth, qth and rth terms of an arithmetic progression are a, b and c respectively.
First term of given arithmetic progression is A
and common difference is D
ie.,
and common difference=D
The nth term can be written as

pth term of given arithmetic progression is a

qth term of given arithmetic progression is b
and
rth term of given arithmetic progression is c

We have to prove that

Now to prove LHS=RHS
Now take LHS




![=\frac{[Aq+pqD-Dq-Ar-prD+rD]\times qr+[Ar+rqD-Dr-Ap-pqD+pD]\times pr+[Ap+prD-Dp-Aq-qrD+qD]\times pq}{pqr}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5BAq%2BpqD-Dq-Ar-prD%2BrD%5D%5Ctimes%20qr%2B%5BAr%2BrqD-Dr-Ap-pqD%2BpD%5D%5Ctimes%20pr%2B%5BAp%2BprD-Dp-Aq-qrD%2BqD%5D%5Ctimes%20pq%7D%7Bpqr%7D)




ie., 
Therefore
ie.,
Hence proved