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V125BC [204]
3 years ago
14

A rose garden is formed by joining rectangle and a semicircle, as shown below. The rectangle is 29 ft long and 21 ft wide. If th

e gardener wants to build a fence around the garden, how many feet of fence are required? (Use the value 3.14 for n, and do not round your answer.)
Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

Answer:

The answer to your question is 116.53 ft

Step-by-step explanation:

Data

length = 29 ft

width = 21 ft

π = 3.14

Process

1.- Calculate perimeter of the rectangle and subtract 1 length

Perimeter of the rectangle = 2l + 2w - l

Perimeter of the rectangle = 2(29) + 2(21) - 29

                                            = 58 + 42 - 29

                                            = 71 ft

2.- Calculate the perimeter of a semicircle

Perimeter = 2πr/2 = πr

radius = r = 29/2

               = 14.5 ft

Perimeter = (3.14)(14.5)

                 = 45.53 ft

3.- Calculate the total length of the fence

fence = 45.53 + 71

          = 116.53 ft

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This is the function

{2x}^{2}  - 2 {x}^{1}  + 12

Then factor 2 out

2(x^2- x + 6) = 0

Divide both side by two and use the quadratic formula to get the following

(x - 3)(x + 2) = 0

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3 0
3 years ago
Is 0.2x = 100- 0.4/y linear or non linear function?
Pavel [41]

so i will not give you the answer i will teach you how to do it.

In Mathematics, you must have learned about different types of equations. Here, we are going to discuss the difference between linear and nonlinear equations. The difference between them described here with the help of definitions and examples.

We come across a lot of equations while solving maths problems. Some equations include only numbers and some consist of only variables and some consists of both numbers and variables. Linear and nonlinear equations usually consist of numbers and variables.

Definition of Linear and Non-Linear Equation

Linear means something related to a line. All the linear equations are used to construct a line. A non-linear equation is such which does not form a straight line. It looks like a curve in a graph and has a variable slope value.

The major difference between linear and nonlinear equations is given here for the students to understand it in a more natural way. The differences are provided in a tabular form with examples.

What is the difference between Linear and Nonlinear Equations?

To find the difference between the two equations, i.e. linear and nonlinear, one should know the definitions for them. So, let us define and see the difference between them.

Linear Equations  

Non-Linear Equations

It forms a straight line or represents the equation for the straight line It does not form a straight line but forms a curve.

It has only one degree. Or we can also define it as an equation having the maximum degree 1. A nonlinear equation has the degree as 2 or more than 2, but not less than 2.

All these equations form a straight line in XY plane. These lines can be extended to any direction but in a straight form. It forms a curve and if we increase the value of the degree, the curvature of the graph increases.

The general representation of linear equation is;

y = mx +c

Where x and y are the variables, m is the slope of the line and c is a constant value.

The general representation of nonlinear equations is;

ax2 + by2 = c

Where x and y are the variables and a,b and c are the constant values

Examples:

10x = 1

9y + x + 2 = 0

4y = 3x

99x + 12 = 23 and

Examples:

x2+y2 = 1

x2 + 12xy + y2 = 0

x2+x+2 = 25

Note:

The linear equation has only one variable usually and if any equation has two variables in it, then the equation is defined as a Linear equation in two variables. For example, 5x + 2 = 1 is Linear equation in one variable. But 5x + 2y = 1 is a Linear equation in two variables.

Let us see some examples based on these concepts.

Solved Examples

Example: Solve the linear equation 3x+9 = 2x + 18.

Solution: Given, 3x+9 = 2x + 18

⇒ 3x - 2x = 18 - 9

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Example: Solve the nonlinear equation x+2y = 1 and x = y.

Solution: Given, x+2y = 1

x = y

By putting the value of x in the first equation we get,

⇒ y + 2y = 1

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∴ x = y = ⅓

What is the key difference between non-linear and linear equations?

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How does the graph of linear and non-linear equations look?

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How is the linear equation represented? Give an example.

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where m = slope of the line

x and y are the variables

c is the intercept (constant value)

Example: 2x+y=1

y=-2x+1

How is the nonlinear equation formed?

A non-linear equation is generally given by ax2+by2 = c

where x and y are variables

a,b and c are constant values.

4 0
3 years ago
What is the solution of -83=b/4? (with work please)
Dvinal [7]

Hi!

<h3>We need to isolate b on one side. </h3>

<em>Multiply by 4 on both sides. </em>

-83 * 4 = b/4 * 4

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<h2>The answer is b = -332</h2>

<em>To check your answer, put in the value of b. </em>

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8 0
3 years ago
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eduard

Answer:

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Step-by-step explanation:

You can do it shortly by using the formula

X^2-(sum)x+ product

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=X^2 -26x +144

=X^2 -8x-18x + 144

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2 years ago
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Nesterboy [21]

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<em>ANSWER: D</em>

6 0
2 years ago
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