Answer:
36
Step-by-step explanation:
To make a perfect square we add (b/2)^2
where b is ay^2 +by +c
Take b=12 then divide it by 2
12/2 =6
The square it
6^2 =36
Add 36
ANSWER

EXPLANATION
Let the top of the hopper be

Then, by the cosine rule,

We evaluate to get,



Take positive square root of both sides to get,

Answer:
The volume of the cylinder with given height and radius is 150.72 centimeters³ .
Step-by-step explanation:
Given as :
the height of cylinder = H = 12 centimeters
The diameter of cylinder = D = 4 centimeters
So The radius of cylinder = R = 
Or, R =
I.e R = 2 cm
The volume of cylinder is given as V =
×R²×H
where R is the radius and H is the height
So, V = 3.14×(2)²×12
Or, V = 3.14×48
∴ V = 150.72 centimeters³
So, The volume is 150.72 centimeters³
Hence The volume of the cylinder with given height and radius is 150.72 centimeters³ . Answer
Answer:
<u>Slope = 3</u>
Step-by-step explanation:
Slope is calculated as the "Rise/Run" of a straight line. The Rise is the change in the value of y, or the amount y changes per change in x. Run is the change in the x value. A line with a run of 3 and a rise of 9 is calculated as:
Rise/Run = 9/3 or 3
This means that the value of y will increase by 3 for every increase of 1 in the value of 3.
Slope in "m" in the slope-intercept form of a straight line equation: y = mx + b
The line y = 3x + 2 tells us the it has a slope of 3 and intercepts the y axis at x = 2.
Example points (y = 3x + 2)
(0,2)
(1,5)
(4,14)
Note that y changes by 12 when x changes by 4. Rise/Run = 12/4 or 3.
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