Answer:
137.12
Step-by-step explanation:
Density = mass/volume
Density = 3.51
Mass = 481.3
Thus: 481.3/3.51 = 137.122507123
Answer:
see explanation
Step-by-step explanation:
If A +B = 45° then tan(A+B) = tan45° = 1
Expanding (1 + tanA)(1 + tanB)
= 1 + tanA + tanB + tanAtanB → (1)
Using the Addition formula for tan(A + B)
tan(A+B) =
= 1 ← from above
Hence
tanA + tanB = 1 - tanAtanB ( add tanAtanB to both sides )
tanA + tanB + tanAtanB = 1 ( add 1 to both sides )
1 + tanA + tanB + tanAtanB = 2
Then from (1)
(1 + tanA)(1 + tanB) = 2 ⇒ proven
The volume of each container is: 25,133 
Given:
height of container (h) = 80 cm
diameter of container (d) = 20 cm
radius = half of diameter =
of 
Recall:
Volume of a cylinder = 
<em>Substitute the values into the formula:</em>

Therefore, volume of each cylinder is approximately 25,133 
Learn more about volume of cylinder here:
brainly.com/question/971817
Answer:
<em>x = 5</em>
Step-by-step explanation:
5(x + 4) - 8 = x + 32
5x + 20 - 8 = x + 32
5x + 12 = x + 32
5x - x + 12 = 32
5x - x = 32 - 12
4x = 32 - 12
4x = 20
x = 5
Hope this helped! :)
ANSWER

EXPLANATION
The given parabola has equation:

This parabola opens in the direction of the positive x-axis.
This can be rewritten as:

The vertex is (-1,3)
The directrix of this parabola is

