For each value of n your going to plug that number back into the original equation.
8. square root of (1)^2 +1 which will give you 2.
9. square root of (4)^2 +4 which will give you 8.
10. square root of (16)^2 +16 which will give you 33.
The circumference of the circle with a radius of 49mm is 308mm
<h3>How to find the circumference of a circle?</h3>
The circumference of the circle is also known as its perimeter. The formula is expressed as:
C = 2pi r
r is the radius = 49mm
pi = 22/7
Substitute
C = 2 * 22/7 * 49
C = 2 * 22 * 7
C = 308mm
Hence the circumference of the circle with a radius of 49mm is 308mm
Learn more on circumference here: brainly.com/question/20489969
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Answer:
Shorter side = 755 yd
longer side = 1510 yd
A(max) = 1140050 yd²
Step-by-step explanation:
The owner has 3020 yd of fencing
Lets assume:
x the shorter side of the rectangle ( we will use fencing in two sides of length x )
y the longer one
A area of the rectangle and P the perimeter of the rectangle ( we have only three sides covered by fencing material)
We have: A = x * y P = 2 * x + y ⇒ y = P - 2*x ⇒ y = 3020 - 2* x
A (x) = x * ( 3020 - 2*x) ⇒ A(x) = 3020 * x - 2* x²
Taken derivative
A´(x) = 3020 - 4 * x
If A´(x) = 0 3020 -4*x = 0 ⇒4*x = 3020 x = 755 yd
If we take second derivative A´´(x) = -4
so A´´(x) < 0 so there is a maximun in point x = 755
Then
Rectangle dimensions :
x = 755 yd ⇒ y = 3020 - 2 * x ⇒ y = 3020 - 2 * (755) y = 1510 yd
Maximum area is : A(max) = 1510 * 755 ⇒ A(max) = 1140050 yd²
Answer:
The surface area of the can is
Step-by-step explanation:
we know that
The surface area of a cylinder (can of soup) is equal to
we have
----> the radius is half the diameter
substitute the values
Answer:
Step-by-step explanation:
We need to find the distance between two points i.e. (−5,−1) and (−3,−8).
It can be calculated using distance formula as follows :
We have, x₁ = -5, x₂ = -3, y₁ = -1 and y₂ = -8
Put all the values,
So, the distance between the points is equal to