Find the area of the regular pentagon below

Answer:

£15158.00

Step-by-step explanation:

The profit on the sale of 1 computer is the difference between the selling price and the buying price.

Profit on 1 computer:

£2081.00 - £915.00 = £1166.00

The profit on 13 computers is 13 times the profit on 1 computer.

13 × £1166.00 = £15158.00

Answer: £15158.00

Which statement.........

Therefore ,the ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).

The term "ordered pair" refers to a pair of two variable that are shown in a way that they convey a specific order.

In an order pair, the first term denotes the x- and second term, the y-coordinates. The ordered pair is written in close brackets as shown in the example below.

Here ,

Is an equation system:

A set of equations is referred to as a system of equations when a limited set of equations is available and a common solution is sought.

The intersection of two lines, for the two equations drawn on a graph, represents the system's solution.

In the given graph, one linear line and one parabola is shown. In this graph the parabola intersect with the line at point (1,-4) and (4,-7).

Therefore ,the ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).

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$1052 is the total saving og Ms. Davis after 30 weeks from the given point .

Given that:

Inital saving of Ms. Davis = $54.50

Ms. Davis has already saved $54.50 and plans to save an additional $33.25 each week for the next 30 weeks. This means that she will be adding a total of $33.25 x 30 = $997.50 to her savings over the next 30 weeks.

If she does not spend any of the money she has saved, her total savings will be :

sum of Initial saving and saving after 30 weeks

$54.50 + $997.50 = $1,052.00.

so the total saving is $1052.

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By unitary method, you can get  joules by $1.

When given a percentage of an amount, the unitary method can be used to determine the full amount. For instance, if $23 represents 10% of a sum of money, then $10 times $23 equals $230. $6000 is equal to 8% of a sum of money.

Price of 1 Gallon= $3

Energy produced by 1 gallon =  joules

by $1 , you can get 1/3 gallon

energy produced by 1/3 gallon = = joules

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Answer:

m/_A= 84

Step-by-step explanation:

Answer: Option B

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

Interest per year-6000*0.03, 180

720/180=4

Answer:

x = -2

y = -8

Step-by-step explanation:

y = 3x – 2

y = 4x

Substituting the second equation for y into the first

4x = 3x - 2

Subtract 3x from both sides

x = -2

plug in x = -2 into the second equation

y = 4(-2)

y = -8

Answer:

A square of side length 40 m will give the maximum area of the play area

Step-by-step explanation:

Mathematically, it has been established that a square gives the maximum area of a quadrilateral

Hence, for us to have a maximum area of the given perimeter, we have to divide the perimeter by 4 to get the side length of the square

From what we have, we know that the perimeter of the fencing is 160 m

To get the side length, we divide the perimeter by 4

Side length of the shape would be 160/4 = 40 m

Answer:

PF = 9

Step-by-step explanation:

the incentre of a triangle is equally distant from the triangle's 3 sides, that is

PD = PE = PF

using PD = PE to solve for x

5x - 6 = 3x ( subtract 3x from both sides )

2x - 6 = 0 ( add 6 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

then

PE = 3x = 3 × 3 = 9

PF = PE = 9

Answer:

The answer to your question is C, 15

Step-by-step explanation:

Answer is 15, C

largest possible value of $m$ is  x=5, y =3, 10*5+3=53: 3 x 5 x 53 =795

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Taking into account the definition of a system of linear equations, the length and width of the rectangle is 22.5 cm and 19.5 cm respectively.

Systems of linear equations are groupings of first degree equations with the same unknowns, of which a common solution must be found.

In the systems of equations, the values of the unknowns must be found, with which, when replaced, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

2x + 2y= 84

x= y + 3

The substitution method is a way to solve systems of equations. To use the substitution method, you choose an equation and find an expression for one of the variables in terms of the other variable. Then substitute that expression for the variable in the other equation.

In this case, substituting the second equation in the first one you get:

2×(y+3) + 2y= 84

Solving:

2y+ 2×3 + 2y= 84

2y+ 6 + 2y= 84

2y + 2y= 84 - 6

4y= 78

y= 78÷4

y= 19.5

Replacing this value in the second equation, you get:

x= 19.5 + 3

x= 22.5

Finally, the length of the rectangle is 22.5 cm and the width of the rectangle is 19.5 cm.

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There will be a total of 430 pages in the book or the length of the book in pages = 430.

Adrianne reads 275 pages

She is left with 155 pages.

So, for converting the above in form of an equation,

Let us assume that the total pages in the book be x

Let us assume that the total number of pages she read = a

Assuming that the total remaining pages that she does not read = b

So, the total number of pages will be = total pages which she read + total remaining pages.

=> x = a+b

Now, solving the values given in the questions,

The value of a = 275 and the value of b = 155

So, the total number of pages in the book = 275+155 = 430

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Answer: $1.05

Step-by-step explanation:

The profit made will be calculated as the difference between the selling price and the cos price. This will be:

= Selling price - Cost price

= $6.30 - $5.25

= $1.05

Therefore, Jerry will make $1.05 profit on each baseball card that's sold.

Answer: 4/5 minus 5/10 can be simplified as:

(4/5) - (5/10)

It can also be re-written as

(4/5) - (1/2)

To subtract these fractions, we need a common denominator, which is 10 in this case.

So it becomes

(4/5)(2/2) - (1/2)(5/5) = 8/10 - 5/10 = 3/10

So the result of 4/5 minus 5/10 is 3/10 on a number line.

Step-by-step explanation:

Answer:

(20-5)/(-4-1)

15/-5= -3

Answer:

Mode

Step-by-step explanation:

The median and mean can only have one value for a given data set. The mode can have more than one value

Answer:

Step-by-step explanation:

To list the sides of a triangle in order from shortest to longest, you can follow these steps - Measure the length of each side of the triangle using a ruler or measuring tape. Then, write down the lengths of each side in a list. Sort the list in ascending order. The shortest side will be at the top of the list, and the longest side will be at the bottom.

A triangle is a polygon with three sides. By the property of a triangle which is the sum of any two sides of a triangle is greater than the third side. This property is known as the "Triangle Inequality Theorem".

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A is the variable and X is the coefficient term in the supplied  X2 expression. An algebraic expression is used to solve a particular mathematical problem .

In mathematics, a variable is an alphabet or phrase that denotes an unknowable quantity, unknowable value, or unknowable number. In the case of algebraic expressions or algebra, the variables are employed specifically. The two primary categories of variables are categorical and numeric. Then, for categorical and numerical variables, respectively, nominal or ordinal and discrete or continuous subcategories are created for each category. This section provides a quick overview of these types.

given

The coefficient term is denoted as X2, and the variable is A.

An algebraic expression is used to solve a particular mathematical problem by combining words and numbers.

For instance, the numerical coefficient in the equation 5x is 5, meaning that the variable x has been multiplied by 5 times.

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Answer:

The distance between C and D is 6 units

Answer:

6

Step-by-step explanation:

Since this is a straight line, you literally count the boxes in between or you could just add up the x values but make the -2 positive because we’re counting distance, not something else.

The quadrant 1 of the graph is in the place of upper right quadrant.

the term graph in math is referred as a non-linear kind of data structure made up of nodes or vertices and edges

Here we have given that we have to find the place of quadrant 1.

In order to find that we must know that definition of quadrant in math that is one other than the region/part of a cartesian plane which is obtained when the two axes intersect each other and it is used to determine the position of a point in a plane.

As we all know that the first quadrant is in the upper right-hand corner of the plane.

And here we all also know that both x and y have positive values in this quadrant.

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Answer:

You can represent "the opposite of Shana's temperature is equal to Pearl's" as follows:

(-20 C) + (-x) = x

Where x represents Pearl's temperature.

Alternatively, you can also write it as:

20 C - x = x

Both of these equations are equivalent and mean the same thing: the opposite of Shana's temperature is equal to Pearl's temperature.

Step-by-step explanation:

20 degrees Celsius

The temperature in Pennsylvania is the opposite of the temperature in Canada, therefore -20⁰ Celsius in Canada would then be 20⁰ Celsius in Pennsylvania.

Answer:

Transitive property of equality

Step-by-step explanation:

Answer:

0.2771

Step-by-step explanation:

This is a binomial probability question.  "Makes" is what some writers call a "success."  In the binomial probability distribution, the probability of  r  successes in  n  trials is

[tex]\binom{n}{r}p^r(1-p)^{n-r}[/tex]

p is the probability of "success."  [tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex]

In this problem, n = 12,  r = 10, p = 0.87 (the 87%).

The probability of exactly 10 made shots out of 12 attempted is

[tex]\binom{12}{10}(0.87)^10(1-0.87)^2 =66(0.87^10)(0.13)^2 \approx 0.2771[/tex]