the circumference of a circle is 60cm what is the area
step by step explanation please

Using proportions, it is found that:

A proportion is a fraction of a total amount, and equations can be built to find the desired measures using operations such as multiplication and division to find the unknown variables.

In the context of this problem, we have that:

Hence the minimum width of the flier is found as follows:

2w = 16

w = 16/2

w = 8 inches.

The maximum width of the flier is found as follows:

2w = 24

w = 24/2

w = 12 inches.

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The result of the expression (5x[tex]10^{-3}[/tex]) (7×[tex]10^{-2}[/tex])  in scientific notation is 35×[tex]10^{-5}[/tex].

What is scientific notation?

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ [tex]10^{8}[/tex].

The expression in scientific notation is

(5x[tex]10^{-3}[/tex]) (7×[tex]10^{-2}[/tex]) = 5×7 × [tex]10^{-3-2}[/tex]

                           = 35 × [tex]10^{-5}[/tex]

Therefore, the result of the expression (5x[tex]10^{-3}[/tex]) (7×[tex]10^{-2}[/tex]) in scientific notation is 35×[tex]10^{-5}[/tex].

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1 Chinese yuan could purchase $0.12 and $0.15 in the year 2010 and 2012 respectively.

For the year 2010; we can calculate as follows;

1 US dollar = 8.24 Chinese yuan

x US dollar = 1 Chinese Yuan

using cross multiplication to find x;

8.24x = 1 ×1

8.24x = 1

x = 1 / 8.24

x = $0.12

For the year 2012; we can calculate as follows;

1 US dollar = 6.64 Chinese Yuan

x US dollar = 1 Chinese Yuan

Using cross multiplication to find x;

6.64x = 1

x = 1 / 6.64

x = $0.15

Therefore, one Chinese yuan could purchase $0.12 in 2010 and $0.15 in the year 2012.

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We will see that the first term is $50, and the common difference is $25, then the recursive formula is:

aₙ = aₙ₋₁ + $25.

Here we will have something like an arithmetic sequence, such that the recursive sequence is something like:

aₙ = aₙ₋₁ + d

Where d is the common difference.

We know that the first value (the first amount that she has in her savings account) is $50, so we can write the first term as:

a₁ = $50

Now, each new year (the subindex "n" represents the number of the year)  $25 are added to that savings account, then we will have:

a₂ = $50 + $25 = $75

a₃ = $50 + $25 + $25 = $100

And so on..

So the common difference is d = $25, then the recursive relation is:

aₙ = aₙ₋₁ + $25.

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Answer:f

Step-by-step explanation:

Answer:

4+2=6

8-2=6

You can use any one of these

From the division property, the required kansui is 5/32 tablespoon.

What is division?

One of the four fundamental arithmetic operations, or the process by which two or more numbers are added together to create a new number, is division. Multiplication, addition, and subtraction round out the list of operations.

Given that a batch of mooncake contains 1/4 tablespoon of kansui.

Given batch of mooncake is 1 3/5 = 8/5

Therefore,

[tex]\frac{\frac{1}{4}}{\frac{8}{5}}\\=\frac{1}{4} \times \frac{5}{8}\\=\frac{5}{32}[/tex]

Hence, the required kansui is 5/32 tablespoon.

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The probability that a brook trout's length exceeds the mean is 0.50.

One of the benefits of normal distributions is that we can find probabilities without being given the parameters of the distribution. This is achieved provided that we know the number of standard deviations from the mean the value of the random variable that delimits the indicated interval is.

We are given;

Distribution of length of a Colorado brook trout; Normal Distribution

Now, we want to find the likelihood of a value greater than the mean is 0.50.

We also know that if it is seen that the shape of the data is almost like a bell shape, then the data will be considered to have a normal distribution.

Thus, by the property of a normal distribution, the probability is 0.50.

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Answer:

$204

Step-by-step explanation:

Salary per hour = $10.20

Therefore salary for 20 hours = 10.20 X 20

                                                  = $204

I hope you understood the answer and it has helped you!!!

When the inequality expression 1 > |b - 5| is evaluated, the value of the expression is 4 < b < 6

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

The absolute value inequality is given as

1 > |b - 5|

Remove the absolute value inequality symbol

So, we have the following expression

-1 < b - 5 < 1

Add 5 to all sides of the inequality expression

So, we have the following expression

5 -1 < b - 5 + 5 < 1 + 5

Evaluate the sum and the difference in the above inequality expression

So, we have the following expression

4 < b < 6

Hence, the solution to the inequality expression 1 > |b - 5| is 4 < b < 6

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Answer:

There are probably multiple answers to this question, but the answer I got was x = 7, and y = 4.

Step-by-step explanation:

First Equation: 9 + 3x. (Below)

3 x 7 = 21

21 + 9 = 30

Second equation: 2x + 4y.

2 x 7 = 14

4x4 = 16

16 + 14 = 30.

———————

Since they both have the same solution it leads me to believe it’s the answer,

If a (30cm by 40cm) page of a book includes a 2cm margin on each side, then the margins occupy 11.67 percentage of the total surface area of one side of the pages.

As per the question statement, a (30cm by 40cm) page of a book includes a 2cm margin on each side.

We are required to calculate the percentage of the total surface area of one side of the pages, occupied by the margins.

To solve this question, first we will need to calculate the total surface area of one side of the pages, and also the surface area occupied by the margins on one side, and then simply, calculate the percentage amount between the two area values.

Since the dimensions of the pages of the book are (30cm by 40cm), therefore, area of one side of each page = (30 * 40) sq. cm.

                                                                    = 1200 sq. cm.

And, area occupied by the margins on each side of the page

= [(2 * 30) + (2 * 40)] sq. cm.

= (60 + 80) sq. cm.

= 140 sq. cm.

Therefore, percentage of the total surface area of one side of the pages, occupied by the margins = [(140/1200) * 100] = 11.67%

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The machine can make 25 soda bottles each minute.

The ratio between the change in the values of the y variables and the change in the values of the x variables is known as the slope. It shows how much the y-value changes for every unit change in the x-value.

Given:

The graph shows a relationship between the time and the number of soda bottles a machine can make.

Points are (3,75) and (7,175).

We have to calculate the number of soda bottles the machine can make each minute i.e. rate of the machine.

To determine the rate of the machine which is equal to the slope of the graph,

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] =  [tex]\frac{175-75}{7-3}[/tex] = [tex]\frac{100}{4} =25[/tex]

Therefore, the machine can make 25 soda bottles each minute.

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I beleive it would be D

For every mile the car is driven the cost increases by $ 0.74 or 74 cents.

It is given in the question that the equation y = 0.74x + 64 gives the cost y of renting a car if the car is driven x miles.

It is a linear equation in 2 variable.

We have to find, for every mile the car is driven the cost increases by how much.

As we can observe from the equation, 64 is the fixed cost of renting a car, $ 0.74 is the cost of driving per mile.

Hence, for every mile the car is driven the cost increases by  $ 0.74 or 74 cents.

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The actual building is tall 56.3 meters

On a scaled drawing a building measures 4.5 cm tall

The scale drawing is 25 meters per 2 cm

The first step is to calculate the equivalent of 1 cm in meters

2 centimetres= 25 meters

1 centimetre= x

cross multiply both sides

2x= 25

x= 25/2

x= 12.5

1 centimetre is 12.5 metres

4.5 centimetres in metres is

= 4.5 × 12.5

= 56.3

Hence the height of the actual building is 56.3 meters

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Answer:

2.28 or 2.2

Step-by-step explanation:

46 angle and 18x+5 angle make a z formation and the interior is always the same

46 -5 =41

41/18 =2.2777

round it off and you get 2.2

you can always verify it by putting it in the place of x

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: Correct \:\: Choice\:\: D[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

For being the sides of an Isosceles triangle, the measure of two sides should be equal. and it should also fulfil the criteria of being a triangle.

i.e sum of either two sodes shouldn't exceed the third one, and difference between any two sides shouldn't be smaller than the third side.

So, keeping that in mind, the only option that satisfy the criterias is :

D. 4, 4, 6

As it has two equal sides measuring 4 each, and it fulfils the criteria of being a triangle too.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

Step-by-step explanation:

Answer:

The square root of what number?

For triangle UTV reflection across y = 1 would be,

U' = (0, 2)

T' = (-3, 3)

V' = (-1, 5)

And for triangle HIJ the reflection across y = -2 would be,

H' = (-5, 1)

I' = (-3, -3)

J' = (-2, -1)

1)

In this question, we have been given a triangle UTV.

We need to find the the coordinates of the triangle if it is reflected across the line y = 1

Coordinates of UTV are:

U = (1, 2)

T = (-3, -1)

V = (-1, -3)

If we take the reflection across line y = 1 then,

U(1, 2) --> U'(0, 2)

T(-3, -1) --> T'(-3, 3)

V(-1,-3) --> V'(-1, 5)

2)

In this question, we have been given a triangle HIJ.

We need to find the the coordinates of the triangle if it is reflected across the line y = -2

Coordinates of HIJ are:

H = (-5, -5)

I = (-3, -1)

J = (-2, -3)

If we take the reflection across line y = -2 then

H(-5, -5) --> H'(-5, 1)

I(-3, -1) --> I'(-3, -3)

J(-2, -3) --> J'(-2, -1)

Therefore, for triangle UTV reflection across y = 1 would be,

U' = (0, 2)

T' = (-3, 3)

V' = (-1, 5)

And for triangle HIJ the reflection across y = -2 would be,

H' = (-5, 1)

I' = (-3, -3)

J' = (-2, -1)

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The nth term in the sequence is 30 and the sequence becomes like this: 0, 2, 6, 12, 20, 30

So, the n term that comes next in the sequence is:

We can notice the hidden sequence, that is:

Therefore, the nth term in the sequence is 30 and the sequence becomes like this: 0, 2, 6, 12, 20, 30

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Answer:

s=0

Step-by-step explanation:

1. Simplify the expression

[tex]3\mathrm{s}-9\mathrm{s}-1\mathrm{s}-4\mathrm{s}-1\mathrm{s}=0[/tex]

2. Simplify the arithmetic

[tex]-12\mathrm{s}=0[/tex]

Answer: I believe the answer is 3s + -13

Step-by-step explanation:

3s + -9s - s + -4s + -s

3s + -9 + -4

3s + -13

Answer:

37 is the correct answer

The dependent variable is "Bonding of veneer to cabinets" and the independent variable is "a cabinet shop".

So, in the given sentence, the dependent variable is "Bonding of veneer to cabinets" and the independent variable is "a cabinet shop".

Therefore, the dependent variable is "Bonding of veneer to cabinets" and the independent variable is "a cabinet shop".

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If the sales tax in your city is 4.4% and an item costs $3 before tax the amount of tax you would  pay on that item is $0.132.

Sales tax is the tax amount that is charge on goods customers buys.

Using this formula to determine the sales tax

Sales tax = Sales tax percentage × Cost of item

Where:

Sales tax percentage = 4.4% or 0.044

Cost of item = $3

Let plug in the formula so as to find the sales tax

Sales tax = 0.044 × $3

Sales tax = $0.132

Therefore the sales tax amount is $0.132.

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Answer:

he needs 0.2 more

Step-by-step explanation:

2-7/5=0.6 that means he still has 0.6 left of the boxes.

minus the 4/5= -0.2

so Tom needs 0.2 more to give out that amount.

Answer:

11/10

he needs one more

Step-by-step explanation:

The algebraic expression for the verbal expression 7 divided by the product of 9 and x is 7/9x.

Given verbal expression is 7 divided by the product of 9 and x.

Hence, the required algebraic expression for given verbal expression is 7/9x.

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Solving by factoring in steps shown below

Answer:

[tex]\textsf{1. \quad $x=1, \quad x=-\dfrac{2}{5}$}[/tex]

[tex]\textsf{2. \quad $x=1, \quad x=3$}[/tex]

Step-by-step explanation:

Solving quadratic equations by factoring

Given equation:

[tex]5x^2=3x+2[/tex]

Subtract (3x + 2) from both sides:

[tex]\implies 5x^2-(3x+2)=3x+2-(3x+2)[/tex]

[tex]\implies 5x^2-3x-2=0[/tex]

Find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex], and rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies ac=5 \cdot -2=-10[/tex]

[tex]\implies b=-3[/tex]

Therefore, the two numbers are -5 and 2.

Rewrite [tex]b[/tex] as the sum of the two numbers:

[tex]\implies 5x^2-5x+2x-2=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies 5x(x-1)+2(x-1)=0[/tex]

Factor out the common term (x - 1):

[tex]\implies (5x+2)(x-1)=0[/tex]

Apply the zero-product property:

[tex]\implies 5x+2=0 \implies x=-\dfrac{2}{5}[/tex]

[tex]\implies x-1=0 \implies x=1[/tex]

Therefore, the solutions are:

[tex]\boxed{x=1, \quad x=-\dfrac{2}{5}}[/tex]

Given equation:

[tex]\implies x^2-4x+3=0[/tex]

Find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex], and rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies ac=1 \cdot 3=3[/tex]

[tex]\implies b=-4[/tex]

Therefore, the two numbers are -3 and -1.

Rewrite [tex]b[/tex] as the sum of the two numbers:

[tex]\implies x^2-3x-x+3=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(x-3)-1(x-3)=0[/tex]

Factor out the common term (x - 3):

[tex]\implies (x-1)(x-3)=0[/tex]

Apply the zero-product property:

[tex]\implies x-1=0 \implies x=1[/tex]

[tex]\implies x-3=0 \implies x=3[/tex]

Therefore, the solutions are:

[tex]\boxed{x=1, \quad x=3}[/tex]

Answer:

(-2, 2)

Step-by-step explanation:

[tex]B(-5,4) \longrightarrow B'(-5+3, 4-2)=B'(-2, 2)[/tex]