The diagram shows two congruent regular pentagons and part of a regular n-sided polygon A. Two sides of each of the regular pentagons and two side of A meet at the pint P. Calculate the value of n.​

The Diagram Shows Two Congruent Regular Pentagons And Part Of A Regular N-sided Polygon A. Two Sides

Answers

Answer 1

Answer:

n=10

Step-by-step explanation:

For a regular polygon with n sides, each interior angle, x, is given by

[tex]x=180\frac{n-2}{n}[/tex]

This can be solved for n

[tex]n=\frac{360}{180-x}[/tex]

For the pentagons

x(5)=180(3/5)=108 degrees.

The angles around P sum to 360, so

2(x(5))+x(A)=360

x(A)=360-2(108)=144.

Substitue in the equation for n.

n=360/(180-144)=10

Answer 2

The number of sides in this polygon is 10.

For any polygon, the sum of interior angles is given as,

[tex]\bold{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]

where,

n = number of sides,

We know that for a pentagon, the number of sides is 5.

thus, substituting the values in the sum of interior angle formula we get,

[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]

[tex]{Sum\ of\ interior\ angles= {5-2}\times{180^o}}\\= 3 \times {180^o} = 540^o[/tex]

therfore, each angle in a regular pentagon,

[tex]\dfrac{Sum\ of\ interior\ angles}{Number\ of\ Sides} = \dfrac{540^o}{5} = 108^o[/tex],

Let's assume that polygon A is having x number of sides.

At point P, the sum of the angles must be 360°.

The sum of the angles at point P

          = interior angle of the first pentagon

          + interior angle of the second pentagon

          + interior angle of the polygon A with x sides

Substituting the values,

360° = 108° + 108° + z

z = 360° - 108° - 108°

z = 144°

Thus, the interior angle of the x sided polygon is z = 144°.

For a regular polygon, all the interior angles are equal,

so, for a polygon with sides x.

the sum of interior angle = measure of interior angle x Number of sides

                                         = [tex]144^o \times x[/tex]

Also, we know

[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]

Substituting, the values for an x number of side  polygon,

[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}\\{144^o \times x = {(x-2)}\times {180^o}}\\144x = 180x - 360\\360 = 180x- 144x\\x = \dfrac{360}{36}\\x = 10[/tex]

Hence, the number of sides in this polygon is 10.

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Related Questions

Suppose there are two groups of shapes. In Group 1, all of the shapes have four right angles. In Group 2, all of the shapes have four sides that are all the same length. Which of the following shapes can always fit into both groups?

A.
rhombus

B.
rectangle

C.
square

D.
pentagon

Answers

Answer:

D

Step-by-step explanation:

all around of side are 360 degree that's why only pentagon has 360 degree

jason paid 12.75 for 5.5 pounds of hamburger. how many dollars per pound

Answers

Answer: ≈2.32

Step-by-step explanation: So, we can solve this in 2 ways:

1) 12.75 / 5.5 (easiest way)

= 2.3181818181818183

(Rounded to the nearest hundredth) ≈ 2.32

2) Set up a proportional relationship:

[tex]\frac{12.75}{5.5}[/tex] = [tex]\frac{?}{1}[/tex]

Now, divide 12.75 by 5.5, and get about 2.32

Now, let's check our answer:

2.32 x 5.5 = 12.76

So, he paid about 2.32 per pound.

I hope this helped!

f(x)=x³+x² - 6x=c then find the X- intercept of f(x)

Answers

Therefore , the solution of slope intercept comes out to be X intercept for the function is x = - 1

What does slope intercept mean?

In math, the intersection is where the line's slope intersects the y-axis. a point on a line or curve where the y-axis crosses. The formula for the linear line is given as Y = mx+c, whereby m denotes the slope и c the y-intercept. In the intercept form of the equation, the line's slope (m) and y-intercept (b) are highlighted. The slope and y-intercept of an equation with the intercepting form (y=mx+b) are m and b, respectively. There are several equations that can be rewritten to appear to be slope detections. The slope and como are both modified to 1 if y=x is translated as y=1x+0, for example.

Here,

It is the point where a line or curve crosses the X axis

The function f(x) = x³ + x² - 6x = c

Let, y = f(x) = x³ + x²- 6x -c =0

at the X intercept, y = 0,

so, 0 = x³+ x²- 6x -6

x²(x +1) - 6(x +1) =0

(x +1) ( x²-6) = 0

x = -1, x = √6

X intercept is x = -1

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The following values are placed on a number line: 170%, one and two over five, and 0.3.

Which of the following images shows the correct placement of the values?

Number line starting at negative 0.4 on the left up to 2.4 on the right. Units are marked every two tenths unit. 0.3 is labeled at 0.3. One and two fifths is labeled at 1.2, and one hundred seventy percent is labeled at 1.6.
Number line starting at negative 0.4 on the left up to 2.4 on the right. Units are marked every two tenths unit. 0.3 is labeled at 0.3. One and two fifths is labeled at 1.4, and one hundred seventy percent is labeled at 1.7.
Number line starting at negative 0.4 on the left up to 2.4 on the right. Units are marked every two tenths unit. 0.3 is labeled at 0.3. One hundred seventy percent is labeled at 0.7, and one and two fifths is labeled at 1.4.
Number line starting at negative 0.4 on the left up to 2.4 on the right. Units are marked every two tenths unit. 0.3 is labeled at 0.3. One and two fifths is labeled at 1.2, and one hundred seventy percent is labeled at 1.5.

Answers

Given the number lines (attached) the correct one is Option B) because it represents the right placement of values.

What is a number line?

A number line is a depiction of a graded straight line that serves as a visual representation of real numbers in primary mathematics. Every point on a number line is presumed to be a real number, and every real number is assumed to be a point.

We can tell that option B is correct because:

0.3 is placed right after 0.2 and before 0.3;1 2/5 (which is the same as 1.4) is placed right above 1.4; and 170% which is the same as 1.7 is placed right after 1.6 and just before 1.8.

Thus, option B is correct in the given number line.

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What is the degree of the polynomial? 4x^2y^3-2x^2+7y-8

Answers

The degree of the given polynomial is 5.

What is polynomial?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Given is a polynomial, 4x²y³-2x²+7y-8

We know that, A polynomial of two variable x and y, like ax^ry^s is the algebraic sum of several terms of the prior mentioned form, where r and s are possible integers.

Here, the degree of the polynomial is r+s where r and s are whole numbers.

Therefore, in the given polynomial, the degree will be

4x²y³

Taking the powers,

2+3 = 5

Hence, the degree is 5

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What’s the numerator for the following rational expression?s/t +7/t =?/t

Answers

The numerator of the indicated expression is s+7.

What are the common factors that make up 7?

The numbers 7, 14, 21, 28, 35, and 42 are the multiples of 7. 3 and 7 only share 21 as their smallest common number. 21 is the least common denominator as a result. The denominators can be multiplied by one another to find the common denominator for two or more fractions.

We were given the following rational expression:

where p is the numerator and q is the denominator, is the general representation of the rational expression.

So, the expression we provide is:

Assuming the LCM, the following expression can be rewritten as

Comparing (1) with the above-mentioned general rational expression

The numerator of the given expression is p=s+7.

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B varies directly as m. A study shows that m= 6 when b = 5.

Answers

The value for the proportional constant, for given data, is 5/6.

What is a Linear Function?

A linear function is a function that, when plotted, creates a straight line. Typically, it is a polynomial function with a maximum degree of 1 or 0. Nevertheless, calculus and linear algebra are also used to represent linear functions.

Given that b  varies directly as m

so b ∝ m

it says b is directly proportional to m,

removing the proportional sign apply a constant k,

b = km

where k is the proportional constant,

and m = 6 and b = 5

5 = 6k

k = 5/6

Hence the value of the constant is 5/6.

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two functions f and g are defined over the set r of real numbers as follows: f:x > x^2-2x-1 and g:x > x-1. find the value of x for which f(x)=g(x)-2




Answers

The values of x for which f(x) = g(x) - 2 are given as follows:

x = 1 and x = 2.

How to solve the equation?

The functions for this problem are defined as follows:

f(x) = x² - 2x - 1.g(x) = x - 1.

The equation is given as follows:

f(x) = g(x) - 2.

Replacing the values, we have that:

x² - 2x - 1 = x - 1 - 2

x² - 2x - 1 = x - 3

x² - 3x + 2 = 0.

We can factor the equation as follows:

(x - 2)(x - 1) = 0.

Hence the solutions are obtained as follows:

x - 2 = 0 -> x = 2.x - 1 = 0 -> x = 1.

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If you have an 54.96 and you take a summative test worth 80% how much will that bring up your grade what will be your new grade ​

Answers

If you have a grade of 54.96 and you take a summative test worth 80%, it would bring up your grade by the following calculation:

New grade = (54.96) + (80/100) * (100 - 54.96)

New grade = 54.96 + (0.8) * (45.04)

New grade = 54.96 + 36.032

New grade = 90.992

So, your new grade would be 90.992

It's worth noting that this calculation assumes that the summative test is worth 80% of your overall grade, and that your previous grade was 54.96 out of 100. If this isn't the case, the result will be different.

Short RESPONSE
5. To enter an aquarium adult tickets, a cost $15 each and children tickets, c cost $8
each. The expression 15a + 8c can be used to determine the total cost (in dollars)
for a adult tickets and c children.
How much will it cost for 3 adults and 4 children to enter the aquarium
Show your work
Answer: $_.

Answers

Answer: $77

Step-by-step explanation:

Using the given expression, we can find the total cost for all the tickets.

The question asks for the cost of 3 adults and 4 children.

Let's substitute the values for the variables(again).

We'll get

15*3+8*4(since there's 3 adults and 4 children)

= 45+32

= 77

Total: $77

Nice airpods, btw

need explaining with working out

Answers

Therefore , the solution of the given problem of triangle comes out to be a=6 and b=17.

A triangle is what exactly?

An triangle is a polygon since it has four or more parts. It is a simple geometric shape. A square having angles A, B, and C is referred to as a triangle ABC. When the sides are not collinear, Euclidean geometry generates a single plane and square. If a triangle has three sides and three corners, it is a polygon. The corners of a triangle are where its three sides meet. The sum of the angles in a triangle is 180 degrees.

Here,

Given : A right triangle ,

=> 8²+a²= 10²

=> a² = 100 -64

=>  a² =36

=> a =6

For b,

=> b²  = 8² + 15²

=> b²  = 64 + 225

=> b² = 289

=> b = 17

Therefore , the solution of the given problem of triangle comes out to be a=6 and b=17.

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The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (5,250) and (8,400) to find the numbers of soda bottles the machine can make each minutes.

Answers

The graph demonstrates the relationship, and it indicates that the machine can produce 1200 soda bottles every minute.

what is unitary method ?

The unitary technique is sometimes useful for multiplying and dividing by fractions because it makes sense immediately and can be done mentally if the numbers add up. This makes it a good method for defending or explaining frequently employed written fractional algorithms, like division by a fraction. The unitary technique has a formula that involves finding the value of a single unit, multiplying it by the quantity of units, and then finding the desired value.

given

y=20x

The total number of bottles produced in the specified amount of time, expressed in seconds, is represented by y.

When x=1 and y=20, the machine can produce 20 soda bottles each second.

There are 60 seconds in a minute, thus when x=60, y=20*60 equals 1200 drink bottles.

The graph demonstrates the relationship, and it indicates that the machine can produce 1200 soda bottles every minute.

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What is the measure

Answers

Answer:

Angle FSM = 92°  OPTION B

Step-by-step explanation:

[tex]5x+32=7x+8[/tex]

[tex]5x-7x=8-32[/tex]

[tex]-2x=-24[/tex]

[tex]x=\frac{-24}{-2} =12[/tex]

Angle FSM:

[tex]FSM=7x+28=7(12)+8=84+8=92[/tex]

Hope this helps

10 POINTS!
This graph shows a proportional relationship.
What is the constant of proportionality?

Answers

Answer: The constant of proportionality is 12.

Step-by-step explanation: You can start by dividing 36 by 3 60 divided by 5 then 72 divided by 6 and then 84 divided by 7. All of the division problems have an answer of 12. So the constant of proportionality is 12.

below you are given a partial excel output based on a sample of 16 observations
(tables)
The estimated regression equation is
a. Ey) = Bo + B1x12x2
b. y Bo + B1x1 + B₂X2 + €
c. 94.425 +2.63 x₁ + 12.56 x2
d. 9 = 12.924-3.682 x + 45.216 x2

Answers

The estimated regression equation is :

          ŷ = 12.924 - 3.682[tex]x_{1}[/tex] + 45.216[tex]x_{2}[/tex]

S0, option(d) is the correct answer.

In statistics, an estimated regression equation is an equation constructed to model the relationship between dependent and independent variables.

The least squares method is the most widely used method for developing estimates of the model parameters.

For simple linear regression, the least squares estimates of the model parameters β0 and β1 are indicated [tex]b_{0}[/tex] & [tex]b_{1}[/tex]. Using these approximates, an estimated regression equation is constructed: ŷ = [tex]b_{0} + b_{1} x[/tex] . The graph of the estimated regression equation for simple linear regression is a straight-line approximation of the relationship between y and x.

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Marcella wants to earn a total of at least $4,000 per month. For each company, find the least number of office machines she would need to sell each month in order to meet this goal. Show your work.

Answers

Answer:

1540$!$($9$

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Marcella would need to sell at least 40 office machines each month to earn at least $4,000.

To find the least number of office machines Marcella would need to sell each month to earn at least $4,000, we need to know the price of each office machine and the commission she receives for each sale.

We can use following formula:

Total Earnings = (Number of Machines Sold) x (Price of Machine) x (Commission Rate)

Rearranging this formula to solve for the number of machines sold, we get:

Number of Machines Sold = Total Earnings / (Price of Machine x Commission Rate)

Plugging in the values we know:

Number of Machines Sold = 4000 / (1000 x 0.1)

Number of Machines Sold = 4000 / 100

Number of Machines Sold = 40

Therefore, Marcella would need to sell at least 40 office machines each month to earn at least $4,000.

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whats the answer for
(x+1)(x+5)=(x+3)(x-4) +3

Answers

Answer: x = -2

Step-by-step explanation: Divide each side by factors that do not contain the variable to isolate it.

A gear wheel with 9 teeth plays into a gear wheel with 27 teeth. When the smaller wheel has made 42 revolutions, how many
revolutions has the larger wheel made?

A) 14
B) 16
C) 120
D) 126

Show work please

Answers

Answer:

A) 14

Step-by-step explanation:

When a small is gear connected to a larger gear, the smaller gear makes more revolutions than the larger gear. Use the ratio of the numbers of teeth to find the ratio of the numbers of revolution.

1 gear has 9 teeth

1 gear has 27 teeth

27/9 = 3

The ratio is 3:1.

The small gear makes 3 revolutions for each revolutuion of the large gear.

The large gear makes 1/3 revolution for each revolution of the small gear.

Here, the small gear makes 42 revolutions.

42/3 = 14

The large gear makes 14 revolutions.

Answer: A) 14

Final answer:

The larger gear has made 14 revolutions when the smaller gear has made 42 revolutions. This is because the ratio of the teeth on the gears is 1:3, which is also the ratio of their revolutions.

Explanation:

The ratio of the number of teeth on the two gears is also the ratio of the number of rotations they make. In this case, the smaller gear has 9 teeth and the larger gear has 27 teeth. So, the ratio is 9:27, which simplifies to 1:3.

This means that for every one rotation of the larger gear, the smaller gear will make three rotations.

Since the smaller gear has made 42 rotations, to figure out the number of rotations the larger gear has made, you would divide 42 by 3. (because of the 1:3 ratio). The answer is 14.

Therefore, the larger gear has made 14 revolutions when the smaller gear has made 42 revolutions. So, the correct answer is A) 14.

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Figure ABCD is a rectangle. Find the
value of x.
B
A
x + 11
E
x = [?]
6x +1
C
D
Enter

Answers

Answer:

x=2

Step-by-step explanation:

x+11=6x+1

10=5x

x=2

Aimee is estimating 315 x 47 by first
rounding to 1 s.f.
Which of these calculations should Aimee
use?
300 × 0
300 × 50
320 × 0
315 × 50
320 × 50
315x0
300 × 47
315x47
320 × 47

Answers

For estimation, she have to make calculation as 320x50/

How do I round to the nearest significant digit?

Using one significant figure as an example 3692 should be converted to one square foot (s.f.). The number 3 is the first significant digit because it is the first non-zero digit.6 exceeds 5 in number.We round up because 6 is greater than 5 One plus three equals four, and 3692 is four thousand square feet.

How are estimates calculated?

each number to the nearest significant figure.Use the 'approximately equal to' symbol to build the new estimated calculation.Consider units when calculating and use the rounded numbers to provide an approximation.

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a florist has 133 roses.she sold 5/7 of them how many roses are left with her
A. 58
B. 38
C. 57
D. 19

Answers

38 roses are left with her
38 roses are left with her
133 x 5/7 = 95
133-95=38

how can i show m 2 = 2m 1​

Answers

Answer:

Step-by-step explanation:

m

2

+

2

m

+

1

2

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

2

m

=

2

m

1

Rewrite the polynomial.

m

2

+

2

m

1

+

1

2

Factor using the perfect square trinomial rule

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

, where

a

=

m

and

b

=

1

.

(

m

+

1

)

2

In the sketchpad, solve 27 x 7 with an area model.

Answers

Following is the area model of 27 x 7 = 189.

An area model is a rectangular graphic used in mathematics to multiply and divide two numbers or expressions.

The length and breadth of the rectangle are determined by the factors, also known as the quotient and divisor. In other words, you can divide a large area (in this case, a 23 37 rectangle) into smaller ones, calculate the areas of each separately, and then sum them to determine the overall area.

Which steps comprise the area model?

Write the enlarged form of each factor first. Next, sketch your model. To determine the area of each smaller rectangle, multiply next. To find the entire area, add those items last.

            20                  7

7           140                 49

27 × 7 = 140 + 49 = 189

           

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A circle is inscribed into a square, find the area of the circle if one side of the square is 15 m​

Answers

Answer:

follow me if this helped you

Step-by-step explanation:

Area of inscribed square.

A circle is inscribed into a square, find the area of the circle if one side of the square is 15 m

The diameter of the inscribed circle is equal to the length of the square's diagonal, which is equal to the length of one side of the square multiplied by the square root of 2 (since the diagonal of a square is equal to the square root of 2 times the length of one side). Therefore, the diameter of the inscribed circle is 15m * sqrt(2) = 15m * 1.41421356237 = 21.213203435596424m

The area of a circle is given by the formula A = π * r^2, where r is the radius of the circle. Since the diameter of the circle is 21.213203435596424m, the radius is half of that, which is 10.60660171779821m.

So the area of the circle is A = π * r^2 = π * 10.60660171779821^2 = 353.09

What is the circumference of a circle whose diameter is 15 niches

Answers

The circumference of a circle with a given diameter of 15 inches is equal to 15pi which is equal to 47.12 inches.

What is the circumference of a circle?

The circumference of a circle is the distance around the edge of the circle.

What is the formula for calculating the circumference of a circle?

The formula for calculating the circumference of a circle is given by,

C = 2πr = πd

Where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle and d is the diameter.

It is also known as the perimeter of the circle.

In the question above, we're given,

Diameter of the circle (d ) = 15 inches.

So, using the formula for the circumference of the circle,

Circumference (c) = π d

                              = π * 15

                              = 47.12 inches

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At Six Flags, 1,473 people entered the park in 3 hours. At Hershey Park, they had 944 guests
enter the park in 2 hours. If the rates were constant the entire time, which park had more
people enter in the first hour?

Answers

Six Flags:

1,473/3 = 491 people per hour.

Hershey Park:

944/2 = 472 people per hour.

Six Flags has more people in the first hour. Six Flags has 19 more people than Hershey Park.

491>472

I hope this helps you!!

A toy company spends $1800 per day for factory expenses plus $9 to make each teddy bear. They sell the teddy bears for $15 a piece. Create and solve an equation that could be used to find the number of bears, b ,the company has to sell in one day to equal its daily cost.

Answers

The number of bears, b is 300 for the company has to sell in one day to equal its daily cost.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

A toy company spends $1800 per day for factory expenses plus $9 to make each teddy bear.

And, They sell the teddy bears for $15 a piece.

Let number of bears for the company has to sell in one day to equal its daily cost = b

Hence, We can formulate the inequality as;

⇒ 15b = 9b + 1800

Solve for b;

⇒ 15b - 9b = 1800

⇒ 6b = 1800

⇒ b = 300

Thus, There are 300 teddy bears has to sell in one day.

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Can someone please tell me how do we solve this? Thank you.

Answers

Answer:

C

Step-by-step explanation:

How much solutions does this equation have
y= 1/4x+1
y=1/4x-1

Answers

Answer: No Solution

Step-by-step explanation:

There is no solution.

A set of equations with the same slopes and different y-intercepts have no solution.

find the vertices of this hyperbola 36x^2-y^2-216x+10y+261=0

Answers

The required vertices of hyperbola is given as (3, 5±√38).

What is an hyperbola?

Hyperbola is part of conic section, and its equation is given as,
[tex](x - h)^2/a^2 + (y - k)^2/b^2 = 1[/tex], where h,k is center and a and b are the lengths of the semi-major and the semi-minor axes.

Here,
Given equation of hyperbola,
36x²-y^²-216x+10y+261=0
Equation of hyperbola in vertex form is given as,
(x - 3)²/(19/18) - (y - 5)²/38 = 1

From above equation,
h = 3 k = 5 a = √38/6 and b = √38

Vertices of the  hyperbola is given as,
(h, k ± b) = (3, 5±√38)

Thus, the required vertices of hyperbola is given as (3, 5±√38).

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Other Questions
What is 65% of 568 ? You buy 5 candy bars for $2.00. Find the cost of 18 candy bars? Firstwrite a proportion to find the unit rate(price per one candy bar). Then usethe unit rate to to find the cost of 18 candy bars? Match each term with its definition.A. Corporate Social ResponsibilityB. Corporate governanceC. EthicsD. The International Organization for Standardization 1. Businesses living and working together for the common good and valuing human dignity 2. Created a variety of standards that help organizations gain international acceptance of their practices and outcomes.3. The oversight of a public corporation by its board of directors.4. Bullying may not be illegal, but many companies have enacted policies prohibiting such incivility and abusive behavior in the workplace. 2/3n+1/2=3/4 I need this fast pls The writer wants to add an additional body paragraph to support the passages argument. Which of the following claims would make the best topic for such a paragraph What are the coordinates of the image after a dilationwith the center at the origin and a scale factor of 2?(0, 0) (10, 0) (10,4) (0, 4)(-2.2) (8, 2) (8.-2) (-2,-2)(1, 1) (6, 1) (6, 3) (1, 3)(0, 0) (0, 2) (5.0) (5,2) x * 5 * 25 * 4 5, if x = 813 simplified form please Which of the following agricultural inputs were the most recent technological innovations employed in less developed countries during the Green Revolution WHY DOES NO ONE REPLY TO MY Q"S!!!!!! In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 57 acres. Suppose we randomly survey 41 farmers from 1940. 3) The elevator in a large office building is not working so you start climbing the stairs. The first flighttakes you 56 seconds. The second flight takes you 62 seconds. The third flight takes you 68 seconds.If you climb a total of ten flights, how long will it take you to climb all ten flights combined?a.b.C.1660 seconds830 seconds330 seconds105 seconds6 secondsd.e. ??? [tex]( \frac{ {2x}^{3} }{ {8y}^{ - 4} }) ^{ - 3} [/tex] PLS PLS PLS HELP I DONT UNDERSTAND THIS AT ALL!!!!!!!! I WILL MARK BRAINLIEST!!!! Solve for x and show work need help just stuck on this one Mischievous Joey likes to play with his family's lazy susan (this drives Mom crazy because it is an antique). He puts the salt shaker near the edge and tries to spin the tray at a speed so that the shaker just barely goes around without slipping off. Joey finds that the shaker just barely stays on when the turntable is making one complete turn every two seconds. Joey's older sister measures the mass of the shaker to be 79 grams. She also measures the radius of the turntable to be 0.23 m, and she is able to calculate that the speed of the shaker as it successfully goes around in a circle is 0.7222 m/s.Required:What is the magnitude of the horizontal part of the contact force on the shaker by the turntable? 3. Which equation best describes the graph?A. y = 2x + 3B. y = 1/2x + 3C. y = 1/2x 3D. y = 2x 3 Which of the following does NOT have a positive impact on your position on thehealth continuum?avoiding risk behaviorshaving a positive social environmenteating nutritious foodsO having a chronic disease work from home is commonly offered these days.Our teacher,parents,and guirdians also do work from home.What is the advantage and disadvantage of it convert 5.70 lbs to grams and explain please help 17 = x + 9 Whats the answer i need it now pls && thank uu . Whats 8 2.5% of 75?Write your answer as a decimal.