Answer:
radius r = 3.414 in
height h = 6.8275 in
Step-by-step explanation:
From the information given:
The volume V of a closed cylindrical container with its surface area can be expressed as follows:
Given that Volume V = 250 in²
Then;
We also know that the cylinder contains top and bottom circle and the area is equal to πr²,
Hence, if we incorporate these areas in the total area of the cylinder.
Then;
To find the minimum by determining the radius at which the surface by using the first-order derivative.
![r =\sqrt[3]{39.789}](https://tex.z-dn.net/?f=r%20%3D%5Csqrt%5B3%5D%7B39.789%7D)
r = 3.414 in
Using the second-order derivative of S to determine the area is maximum or minimum at the radius, we have:
Thus, the minimum surface area will be used because the second-derivative shows that the area function is higher than zero.
Thus, from 
h = 6.8275 in
Answer:
Terms: 
Like Terms: 
Step-by-step explanation:
Given
Required
List out the terms and like terms
The terms of a mathematical expression:
are a, b, c and d
Using the same yardstick as above;
The terms of are
To get the like terms, we look for terms with the same variable
have the same variable of x^2
Hence, they are like terms
Answer:
3
Step-by-step explanation:
3 + (-8) - (-8)
= 3 - 8 + 8
= 3
Answer:
x = 41°, y = 139°
Step-by-step explanation:
The given parameters are;
Line <em>m</em> is parallel to line <em>n</em> and lines <em>m</em> and <em>n</em> have a common transversal
The corresponding angles formed by the common transversal to the two parallel lines are 41° on line <em>m</em> and <em>x°</em> on line <em>n</em>
Therefore, x° = 41° by corresponding angles formed between on two parallel lines by a common transversal are equal
x° and y° are linear pair angles and they are, supplementary
∴ x° + y° = 180°
∴ x° + y° = 41° + y° = 180°
y° = 180° - 41° = 139°
y° = 139°.
Answer:
x<2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
