Answer:
Step-by-step explanation:
5^2+8^2=c^2
25+64=89
89=c^2
square root of 89 is 9.43
9.43=the square root of c^2
Here is the solution based on the given problem above.
Given: Area of the piece of paper = 84 square inches
Width = 10 1/2 or 10.5 inches long
? = length of the piece of paper
To find the area of an object, the formula would be A= L x W
Now, let's substitute the given values above
84in2 = L(10.5in)
Now, divide both sides with 10.5 and we get 8.
L = 8 inches.
Therefore, the length of the paper is 8 inches.
Hope this solution helps.
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:
Option B - 2
Step-by-step explanation:
We have given, the length of a spring when it’s at rest is measured to be 0.56 centimeter.
We have to find, how many significant figures are there in this measurement?
Solution :
The rules to get the significant figure are
- Non-zero digits are always significant.
- Any zeros between two significant digits are significant.
- A final zero or trailing zeros in the decimal portion ONLY are significant.
The given measurement is 0.56 cm.
It has two trailing zeros in the decimal i.e. 5 and 6.
There are only two significant figures.
Therefore, Option B is correct.