The surface area of this cylinder to the nearest thousandth is equal to 452.448 square feet.
<u>Given the following data:</u>
- Height of cylinder = 6 ft.
- Radius of cylinder = 6 ft.
To calculate the surface area of this cylinder to the nearest thousandth:
<h3>How to calculate surface area.</h3>
Mathematically, the surface area (SA) of a cylinder is given by this formula:
<u>Where:</u>
Substituting the given parameters into the formula, we have;
SA = 452.448 square feet.
Read more on surface area here: brainly.com/question/21367171
Answer:
The sum of the two remaining numbers, x and y = 60
Question:
The question isn't clear enough as some information have been omitted. Let's consider the following:
Model with Math. The average of six numbers is 18. If the average of four numbers is 12. What must be the sum of the two remaining numbers, x and y?
Write an equation to show how to find this sum.
Step-by-step explanation:
Mathematical models are applied to represent things in the real world in order to solve problems.
The formula we would use to solve this problem is an example of a mathematical model.
Types of mathematical model we can use include equations and graphs.
Using equations:
Average of six numbers = 18
Average of four of the numbers = 12
Total sum of the four numbers = 4×12 = 48
the two unknown numbers are x and y
Average of six numbers = (Sum of all 6 numbers)/6
=(Total sum of four numbers + x + y)/6
(48 + x + y)/6 = 18
The equation that shows how to find the sum:
(1/6)(48 + x + y) = 18
48 + x + y = 18×6
48 + x + y = 108
x + y = 108-48
x+y = 60
The sum of the two remaining numbers, x and y = 60
The coordinates of the vertices of the image if the scale factor of 0.5 with center of enlargement (2, -2) is (1, -1), (2, 0) and (3, 1)
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Dilation is the increase or decrease in the size of a figure by a scale factor.
Let us assume that shape A have vertices at (0, 0), (2, 2) and (4, 4)
If the center of dilation is (a, b) with a scale factor of k, the new point is (k(x - a) + a, k(y - b) + b)
Hence the new point is at (1, -1), (2, 0) and (3, 1)
The coordinates of the vertices of the image if the scale factor of 0.5 with center of enlargement (2, -2) is (1, -1), (2, 0) and (3, 1)
Find out more on equation at: brainly.com/question/2972832
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3x + 4 cannot be negative because of the square root so
3x + 4 >= 0 and x >= -4/3 This is the domain (answer)
The range-
when x = -4/3 y = -5 The range is y>= -5 answer
In interval notation domain = [-4/3, ∞) and range = [-5, ∞)
