Answer:
The volume of fish tank is 
Step-by-step explanation:
Area of Base of fish tank = 
We are given that A fish tank has a base, B, with an area, in square inches, modeled by
So, 
Height of tank = x+3
Volume of tank = 
So, Volume of tank =
Volume of Tank =
Hence The volume of fish tank is
Answer:
Vertical change of point C to B = 4.5
Vertical change of point A to D = -4
Step-by-step explanation:
Vertical change of a point is the rise of the given point.
Now we have to calculate the rise of point C to B,
y-coordinate of the point C → -2.5
y-coordinate of the point B → 2
Rise from C to B = 2 - (-2.5)
= 2 + 2.5
= 4.5
Similarly, y - coordinate of point A → 2
y - coordinate of point D → -2
Vertical change or rise = -2 - 2
= -4
Therefore, vertical change of point C to B = 4.5
Vertical change of point A to D = -4
Let us assume the first even number = n
The second consecutive even number = n + 2
The third consecutive even number = n + 4
The addition of the three consecutive even numbers is 42 and it is already given in the question. Based on the information's given in the question, the answer can be easily deduced.
Then, the equation can be written as
n + (n + 2) + (n + 4) = 42
3n + 6 = 42
3n = 42 - 6
3n = 36
n = 36/3
= 12
So
The first even number = 12
The second consecutive even number = n + 2
= 12 + 2
= 14
The third consecutive even number = n + 4
= 12 + 4
= 16
So the three consecutive even numbers are 12, 14, 16.
The three numbers are 12, 18 and 24
Arithmetic progression
Let the 3 number in arithmetic progression be:
a-d, d, a+d ...
If their sum is 3, then;
a-d+d+a+d = 3
2a + d = 3 ........... 1
If the sum of their squares is 11, then;
(a-d)² + d² + (a+d)² = 11
a²-2ad+d²+d²+a²+2ad+d² 11
2a²+3d² = 11 ....... 2
Solving the equations simultaneously, d = 6 and a = 12
First-term = 12
second term = 18
Thirs term = 24
Hence the three numbers are 12, 18 and 24
Hope this helps you!!!!!! :D
Answer:
143/9 = 15.89
Step-by-step explanation:
