Find the length of side xx in simplest radical form with a rational denominator. 3

The area of the new triangle is  600ft²

To increase the size of a triangle by a scale factor of 10/3, multiply each dimension of the triangle by 10/3.

The new dimensions of the triangle will be:

10/3 × 9ft = 30ft

10/3 × 12ft = 40ft

The area of a triangle is given by the formula A = 1/2  × b  ×h,

where b is the length of the base and h is the height of the triangle.

Thus, the area of the new triangle will be:

A = 1/2  × 30 × 40 = 600ft²

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Step-by-step explanation:

that means the current value of $117,000 is 100 - 35 = 65% of the original price.

65% = $117,000

1% = 65%/65 = 117000/65 = $1,800

100% = 1%×100 = 1800×100 = $180,000

the original (100%) purchase value was $180,000.

Hello there!

Answer:

Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]

Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]

Step-by-step explanation:

We should know 2 important formulas:

Circumference: [tex]l = 2\pi r[/tex]

Area: [tex]S = \pi r^{2}[/tex]

So we need to find the value of r (radius) which equal to a half of diameter:

[tex]r = d/2[/tex]

[tex]r = 1.8/2 = 0.9(m)[/tex]

Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]

Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]

Answer:

answers 3

Step-by-step explanation:

took more thinking than it should've tbh (3-2=1) (3+10=13) 1x13=13

Answer:

f(x)= 2x-9

f(-2)= 2(-2)-9

f(-2)= -4-9

=-13

The number of years until the book value of the boat is $ 48, 000, can be found to be 2 years

To find the number of years till the book value of the boat is $ 48, 000, you first need to find the depreciation rate per year by the formula :

= ( Purchase price of boat - Resale value ) / Useful life

= ( 51, 000 - 42, 000 ) / 6

= 9, 000 / 6 years

= $ 1, 500 per year

In the first year, the value of the boat would depreciate to:

= 51, 000 - 1, 500

= $ 49, 500

In the second year, the value would depreciate to:

= 49, 500 - 1, 500

= $ 48, 000

It therefore takes 2 years for the book value to be $ 48, 000.

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The correct statement regarding the linear function passing through the coordinates (2, 1), (3,3), (5,7), (6,9) is given as follows:

A. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

A linear function represents a proportional relationship if it has an intercept of zero.

For the points in this problem, when x increases by one, y increases by two, hence the slope is given as follows:

m = 2/1 = 2.

Hence:

y = 2x + b.

When x = 2, y = 1, hence the intercept b is given as follows:

1 = 2 + b

b = -1.

As the intercept is different of zero, this is not a proportional relationship, and option A is correct.

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If Twelve out of Sixty students are trying out for the spring musical, the percentage of students trying out for the musical is , 20%.

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

In above question, if Twelve out of Sixty students are trying out for the spring musical, we have,

Number of students trying out for the musical = 12

Total number of students = 60

Percentage of students trying out for the musical is , [tex]\frac{12}{60} *100[/tex] = 20%

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Part A: The equation could be used to determine p is B0.20+7p = 0.30 + 5p Part B: Two shipping companies is the same for 25 pounds. Company 1 = $7 + (25 - 1) x $0.20 = $11.80 Company 2 = $5 + (25 - 1) x $0.30 = $11.80.

The cost of shipping through two different companies will depend on a variety of factors.

These factors may include the weight and size of the package, the distance it needs to travel, the speed of delivery, and any additional services requested.

Additionally, the cost of shipping may also depend on the type of shipping service used (e.g. ground, air, or express).

To find out the cost of shipping through two different companies, it is best to contact each company directly. This can usually be done by phone, email, or through their website.

Each company will be able to provide a quote based on the package’s specifications. It is then possible to compare the cost of the two shipping companies and determine whether or not the cost is the same.

It is important to note that companies may offer discounts or other incentives for shipping with them.

Therefore, it is important to pay attention to any additional fees or discounts that may apply in order to get the best deal.  

Comparing the cost of two different shipping companies can help to ensure that the most cost-effective option is chosen.

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Answer:

2[tex]\pi[/tex] [tex]units^{2}[/tex]

Step-by-step explanation:

BC is equal to 4 because 5*4=20.

The radius is 2. The equation for the area of a circle is [tex]\pi r^2[/tex].

Therefore, if we plug in 2 we will get [tex]4\pi[/tex].

But then we divide by 2 to get 2[tex]\pi[/tex] [tex]units^{2}[/tex] as our answer.

Hope this helped! :)

Answer:

m=10

Step-by-step explanation:

m/5+9=11 subtract 9

m/5 = 2 multiply 5 by both sides

m = 10

The solution to the above math arithmetic is 5115.

Finding the sum and difference of two integers are the two main addition and subtraction arithmetic procedures. They are both the other's polar opposite. An ordered group of integers with a shared difference between each word is known as an arithmetic sequence. The common difference, for instance, between the mathematical series 3, 9, 15, 21, and 27 is 6.

This grouping contains percent difficulties, decimal recognition, addition, subtraction, multiplication, and division as well as fraction and percent equivalences and estimate issues.

For instance, 5 + 6 = 11 and 11 - 6 = 5.

5x35 + 65x76=5115

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Answer:

Triangles DEF and JKL are similar to triangle ABC because they have corresponding angles with the same measure.

Step-by-step explanation:

•Triangles DEF and JKL are similar to triangle ABC because they have corresponding angles with the same measure.

•The Triangle GHI is not similar to triangle ABC because the measure of angle G does not match the measure of angle A.

•The Triangle MNO is not similar to triangle ABC because the measure of angle N does not match the measure of angle B.

• The Triangle POR is not similar to triangle ABC because the measure of angle R does not match the measure of angle A or B.

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Answer:

18 more students preferred pepperoni pizza over cheese pizza in the survey.

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] x [tex]\frac{72}{1}[/tex] Can be rewritten

[tex]\frac{3}{1}[/tex] x [tex]\frac{9}{1}[/tex] = [tex]\frac{27}{1}[/tex] = 27   I cross canceled the 8 and 72.  They have a common factor of 8.  8 goes into 8 once and 8 goes into 72 9 times.

27 students preferred pepperoni pizza.

[tex]\frac{1}{8}[/tex] x [tex]\frac{72}{1}[/tex] = [tex]\frac{1}{1}[/tex] x [tex]\frac{9}{1}[/tex] = 9

9 students preferred cheese pizza.

27 - 9 = 18

6. Larry's total sales during the pay period is $20,000.

7. Tom should leave $3 (approximate)

What is the meaning of total sales?

Total sales revenue usually referred to as gross sales is the sum of the value of the products and services a company provides to its clients over the course of a given reporting period.

Given that Larry earns $840 per pay period, plus a commission of 8% on his sales.

Assume that Larry sale $x during the last pay period.

The total earn is 840 + 8% of x

= 840 + 0.08x

According to the question:

840 + 0.08x = 2,440.00

Subtract 840 from both sides:

0.08x = 2,440 - 840

0.08x = 1600

Divide both sides by 0.08

x = 1600/0.08

x = 20,000

The sales is $20,000.

7. Given that,  Tom's bill at a local restaurant was $19.47. He leaves 15% of the total bill as a tip.

15% of $19.47

= 15/100 × $19.47

= 2.920

≈ 3 (approximate)

Tom should leave $3.

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Answer: The answer is 29,446,941,856

Step-by-step explanation:

For the arithmetic sequence 4 - 2(n - 1), we have that:

For the geometric sequence 6 x 3^(n - 1), we have that:

An arithmetic sequence is a sequence of numbers in which there is a common difference of the numbers, that is, the subtraction between consecutive terms of the sequence is always constant.

The nth term of an arithmetic sequence is given by the equation presented as follows:

[tex]a_n = a_1 + d(n - 1)[/tex]

In which:

The sequence in this problem is defined as follows:

4 - 2(n - 1)

Which has first term 4 and common difference -2, hence the terms are:

4, 2, 0, -2, -4, -6 and so on...

A geometric sequence is a sequence of numbers in which there is a common ratio of the numbers, that is, the quotient between consecutive terms of the sequence is always constant.

The nth term of a geometric sequence is given by the equation presented as follows:

[tex]a_n = a_1 \times q^{n - 1}[/tex]

In which:

The sequence for this problem is given as follows:

6 x 3^(n - 1)

Which has first term of 6 and common ratio of 3, hence the terms are given as follows:

6, 18, 54, and so on...

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Answer:

  y = x² -6x +12

Step-by-step explanation:

You want the quadratic equation Y=(x-3)^2+3 written in standard form.

Depending on where you go to school, the given equation may already be in standard form.

Other places, standard form means the equation is simplified and terms are written in order of decreasing degree.

  y = (x -3)² +3 = (x² -6x +9) +3

  y = x² -6x +12

The option D is correct.Because this equation holds the vertically opposite angle theorem.

Vertically Opposite Angles are holds when two lines intersect each other then the opposite angles formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.

Vertical opposite angles that are opposite each other when two lines cross are also known as vertical angles because the two angles share the same corner. Opposite angles are also congruent angles.The equation of a vertical line is given by x = a or x = -a

Now we find

According to vertical opposite angle

x-8=40-2x

x+2x=40+8

3x=48

x=16

We can find value of x by usng vertical opposite angle.

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Sodium has two radioactive cosmogenic isotopes (22Na, half-life = 2.605 years; 24Na, half-life = ~ 15 hours) that have been used as tracers in hydrologic studies.

Sodium-24, a radioactive isotope having a half life of 15 hours is used medically in blood studies and it decays by beta decay.

Na has received considerable attention in hydrologic research because it is a mobile element that participates in precipitation and dissolution reactions in ground water (clay formation, albitization of plagioclase). Their short half-lives (i.e. high decay rate) make their measurement relatively easy by common radioanalytical techniques.

Substantial concentrations of 22Na and 24Na have been measured in precipitation (Roedel, 1970; Perkins et al., 1970). However, no studies have as yet been published documenting the cosmogenic sodium systematics in ground or surface waters.

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The solution to the system of equation shown in the graph is (2, 3)

An equation shows how two or more numbers and variables are related to each other.

The standard linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

Given the equation:

y=−x+5   (1)

y=2x−1   (2)

Solving by elimination method. Subtract equation 2 from 1:

0 = -3x + 6

x = 2

Put x = 2 in eqn 1:

y = -(2) + 5 = 3

The solution is (2, 3)

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No. of many ounces are in each bag will be 1.75 ounces

Unlike the division of natural numbers, the division of decimals is fairly straightforward. To divide decimal numbers by various sorts of numbers, such as whole numbers, decimal numbers, fractions, the powers of ten, etc., we can employ a variety of techniques. You may find answers to division of decimals quizzes and more practise problems in this article.

Dividing decimals is equivalent to dividing whole numbers, except when doing so, we take into account the decimal point as the final answer. The following are many options for splitting decimals:

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Step-by-step explanation:

since the 2 shapes are similar then their sides are proportional

9/18= j/90

then j equals 45

The original price of each notebook is $5.5

Trace is purchasing some notebooks

Each notebook is $2 off the original price

He buys 8 notebooks for $28

The first step is to calculate the price of one notebook

8= 28

1= x

Cross multiply both sides

8x= 28

x= 28/8

x= 3.5

1 notebook is $3.5

$2 was removed from the initial price. Therefore the original price is

2 + 3.5

= 5.5

Hence the original price of the notebook is $5.5

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The total number of employees that this company would be said to have is given as 122424

How to solve for the number of employees in the company

We know that the number of employees in one country is 22400, and that this represents 18.3% of the company's employees in total.

We can use this information to set up a proportion to find the total number of employees in the company.

Employees in one country / Total employees = 18.3 / 100

22400 / X = 18.3/100

To find the total number of employees, we can cross-multiply and divide:

X = (22400 * 100) / 18.3

X = 122424

So the company has a total of 122424 employees.

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The value of m in the given equation 4x² -mx +9 will be 13.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.

given an equation 4x² -mx + 9 = 0 and the question states that it has a root that is equal to 1

Since 1 is the root of this quadratic equation it will satisfy the equation

Substituting the values in the equation

4 - m + 9 = 0

m = 13

Therefore, In the given equation 4x² -mx +9 the value of m will be 13.

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The equation of the exponential function represented by the table will be y = 4(3)ˣ.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

Take two points from the table, then the points are (0, 4) and (1, 12).

The equation passes through (0, 4), then we have

4 = a(b)⁰

a = 4

The equation passes through (1, 12), then we have

12 = 4(b)¹

b = 3

Then the equation of the exponential function represented by the table will be y = 4(3)ˣ.

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The fraction of soil bags Will needs in total for all 5 raised garden beds is   9 3/8.

In mathematics, community is the study of how objects interact and relate to each other. It focuses on analyzing the relationships between elements and understanding how they interact to form each other. Also explore how changes in one element affect other elements. Community in mathematics is also about recognizing patterns, finding solutions, and exploring the impact of change. It is an integral part of mathematics and is used in many areas of study such as algebra, geometry, and calculus. This can be calculated by multiplying the number of raised beds (5) by the amount of soil required per raised bed.

(1 7/8 bag).

5 x 1 7/8

= 9 3/8 bags

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An acute triangle is made up of three acute angles. An obtuse triangle is formed by one acute angle and two obtuse angles and x = 9.7692307692

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. In Euclidean geometry, any three points identify a distinct triangle and, concurrently, a distinct plane if they are not collinear.

13x + 3 + 40 + 10 = 180

13x = 127

x = 9.7692307692

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