Find the area of each sector. Photo attached

Find The Area Of Each Sector. Photo Attached

Answers

Answer 1

Answer:

Area of sector: 48π in^2; Option D

Step-by-step explanation:

~ We can see that the bolded portion of the circle must be the the sector that we need to compute the area of... ~

Let us plan out this problem. If we were to find the area of the circle provided a radius of 12 inches, we could create a proportionality between the degree of the sector, and the degree of the circle ( 360 ) and the area of the sector and the area of the circle.

1. To calculate the area of this circle, let us apply the formula πr^2, such that r is 12 inches ( and let us keep π in terms of π ) ⇒ π * ( 12 )^2 ⇒ 144 * π ⇒ Area of Circle: 144π

2. Let us see this as a proportionality:

Degree of sector/ Degree of circle = Area of sector/ Area of circle

3. Now let us say x ⇒ Area of the sector. Substitute values into this formula, and solve for x through algebra:

120 / 360 = x / 144π,

120 * 144π = 360 * x,

17,280π = 360 * x,

x = 17,280π / 360,

Area of sector: 48π in^2


Related Questions

27) Suppose the price elasticity of supply for shampoo is 20. If the price of shampoo increases by 0.7%, what would we expect to happen to the quantity of shampoo supplied?
a) Increase by 27%
b) Increase by 14%)
e) Increase by 13%
d) Decrease by 13%
28)
e) Decrease by 27%
If pasta is a Giffen good, then....
a) pasta is also a normal good.
b) pasta is also a luxury good.
e) an decrease in the price of pasta will increase the quantity demanded. d) an increase in the price of pasta will increase the quantity demanded. e) pasta must make up a small portion of consumers' total expenditures.
20)
An inferior good in which the income effect dominates the substitution effect is called....
a) a normal good.
b) a luxury good.
30)
a) a Giffon good.
d) a mass-produced good.
e) a favored good.
The cross elasticity of demand measures the responsiveness of the quantity demanded of a particular good to changes in the prices of
a) its complements but not its substitutes.
b) Its substitutes but not ita complements.
c) its substitutes and its complements.
d) neither its substitutes nor its complements. e) None of the above..

Answers

In question 27, the price elasticity of supply for shampoo is given as 20, and the price of shampoo increases by 0.7%. The expected change in the quantity of shampoo supplied can be determined using the concept of price elasticity of supply. However, the specific percentage change in quantity supplied is not provided, so a precise answer cannot be given based on the given information.

In question 20, an inferior good in which the income effect dominates the substitution effect is referred to as a Giffen good. It is not classified as a normal good, luxury good, mass-produced good, or favored good.

In question 30, the cross elasticity of demand measures the responsiveness of the quantity demanded of a particular good to changes in the prices of its substitutes and complements. The correct answer is that the cross elasticity of demand measures the responsiveness to changes in both substitutes and complements.

In question 27, without the specific percentage change in quantity supplied, we cannot determine the exact outcome based on the given information. The price elasticity of supply of 20 suggests that the quantity supplied is highly responsive to changes in price, but the specific percentage change in quantity supplied cannot be calculated without additional data.

In question 28, the relationship between pasta being a Giffen good and other characteristics is not specified. While pasta being a Giffen good indicates that the quantity demanded increases as the price increases, it does not imply whether pasta is a normal good, luxury good, or how price changes affect quantity demanded.

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2. draw the lewis dot structure for each of the following molecules or ions. determine the number of bonding and nonbonding electron domains and indicate their electron domain and molecular geometries BF2

Answers

The Lewis dot structure for BF2 is:

 F     B     F

  \   /    

   B    

  /   \

 F     B     F

In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.

To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.

The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.

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what 2095a-4235b-5326a=

Answers

Answer:

-3231a-5326b

Step-by-step explanation:

I subtracted the a's but you can't subtract the b with anything so .....yea

Problem #18
I have a box that is 5 inches wide, 2 inches deep, and 4 inches tall that I want
to fill with sand. How much sand can I fit inside my box?

Answers

Answer:

40in^3

Step-by-step explanation:

Step one:

given data

dimension of the box

lengh= 5 in

width= 2 in

height =4 in

Required

the volume of the box

the expression for the volume is

V=L*W*H

V=5*2*4

V=40 in^3

Hence the volume of sand the box can take is 40in^3

2
Find the length of the hypotenuse?
43
A
(-3,-1)
3
2
0
1
2+
1
B (2, 3)
3 4
C
(2, -1)
X
Sig

2Find the length of the hypotenuse?43A(-3,-1)32012+1B (2, 3)3 4C(2, -1)XSig

Answers

AC=5cm

CB=4cm

hypotenuse=5²+4²=25+16=41

hypotenuse=√41=6.40cm

Find the Value of N

134 + 427 = N


12 x N = 60


12 + N + 48 = 100


180 ÷ 2 = N


75 ÷ N = 15


N ÷ 10 = 50


( 4 x 100 ) + N = 600


120 - N = 20


10 + N - 3 = 12


N - ( 4 x 5 ) = 30

Answers

Step-by-step explanation:

1)561

2)5

3)40

4)90

5)3

6)500

7)200

8)100

9)5

10)50

You are playing a game where a quarter is tossed 4 times. What is the probability that the quarter lands on tails exactly one time?
PLEASE ANSWER FAST!

Answers

2/4 because it land on heads twice I can also land on Hils there’s a 50% chance

50 POINTS PLEASE HELP
IN YOUR OWN WORDS PLEASE:)

The purpose of filling out a W-4 is to make it easier for individuals to meet their tax liability by
paying income taxes as they earn income. Paying anticipated taxes from each paycheck
reduces the amount an individual owes when filing taxes and can even result in a tax refund.
To guarantee or increase the refund, individuals sometimes claim fewer allowances (to have
more income tax withheld) or request a specific additional amount to be withheld from each
paycheck.
Daniel's employer will automatically deduct taxes from Daniel's pay using the information on
the W-4 form that Daniel completed on his first day. From his W-4 form, Daniel's employer
determined that $75 needs to be withheld from each of Daniel's weekly paychecks, totaling
$3,900 for the year.
Compare Daniel's tax liability from part B, question 3, with the total amount withheld from his
check: $3,900 for the year. If Daniel wants a refund when he files his taxes, should he have
filled out his W-4 differently? Explain your reasoning.

Answers

Answer:

To determine if Daniel should have filled out his W-4 form differently to receive a refund, we need to compare his tax liability with the total amount withheld from his paychecks for the year.

If Daniel's tax liability for the year is less than $3,900, he will receive a refund when he files his taxes. If his tax liability is more than $3,900, he will owe additional taxes when he files his taxes.

If Daniel's tax liability is exactly $3,900, he will neither owe additional taxes nor receive a refund when he files his taxes.

Therefore, to determine if Daniel should have filled out his W-4 form differently, we need to compare his tax liability with $3,900.

If Daniel's tax liability from part B, question 3, is less than $3,900, he will receive a refund when he files his taxes, as the total amount withheld from his paychecks is more than his tax liability. In this case, Daniel may want to consider filling out his W-4 form differently to reduce the amount withheld from his paychecks and increase his take-home pay.

On the other hand, if Daniel's tax liability from part B, question 3, is more than $3,900, he will owe additional taxes when he files his taxes, as the total amount withheld from his paychecks is less than his tax liability. In this case, Daniel may want to consider filling out his W-4 form differently to increase the amount withheld from his paychecks and reduce the amount he will owe when he files his taxes.

If Daniel's tax liability from part B, question 3, is exactly $3,900, he will neither owe additional taxes nor receive a refund when he files his taxes, and his W-4 form is correctly filled out for his tax situation.

In summary, whether or not Daniel should have filled out his W-4 form differently to receive a refund depends on his tax liability compared to the total amount withheld from his paychecks. If his tax liability is less than the total amount withheld, he may want to reduce the amount withheld to increase his take-home pay. If his tax liability is more than the total amount withheld, he may want to increase the amount withheld to reduce the amount he will owe when he files his taxes. If his tax liability is exactly equal to the total amount withheld, his W-4 form is correctly filled out for his tax situation.

Alberto started out bench pressing 60 pounds. He then added 5 pounds every week. Determine whether the situation is linear or nonlinear, and proportional or nonproportional

Answers

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

ASAP PLEASE HELP *20 POINTS*
1.If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, what transformation occurs from f(x) to h(x)?

A.Shift left 3 units
B.Shift right 3 units
C.Shift up 3 units
D.Shift down 3 units

2. If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, how is the vertex affected? Select all that apply.

A.The vertex will not change.
B.The vertex will shift right 3 units.
C.The vertex will shift left 3 units.
D.The vertex will shift up 3 units.
E.The vertex will shift down 3 units.
F.The vertex will not move up or down.
G.The vertex will not move right or left.

3. If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, how is the range affected?

A.The range will not change.
B.The range will be all real numbers.
C.The range will change from y ≥ 0 to y ≥ -3.
D.The range will change from x ≥ 0 to x ≥ -3.

Answers

if the parent function f(x) = |x| is transformed to h(x) = |x| - 3,

1. The transformation occurs from f(x) to h(x) is D. Shift down 3 units

2. The vertex is affected by:

E. The vertex will shift down 3 unitsG. The vertex will not move right or left

3. The range will C. change from y ≥ 0 to y ≥ -3.

What is transformation?

This is an ordered movement of image or object as seen in geometry. The instance here the movement is done by the graph f(x) and h(x) as described.

The type of movement described is called translation.

What is the range?

The range refers to the output of the graph and is typically the y direction.

The range here changed from the origin which is the initial vertex and included point y ≥ -3

It should be noted that the origin of the graph refers to the point y ≥ 0

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For each of the following sequences, decide if it converges or not. If it converges, find its limit. 1. The sequence {an}1 given by an = n²/en. Hint: Consider some useful function f(x) and perhaps L'Hospital rule might help

Answers

The sequence {an} does not have a limit and does not approach a specific value as n tends to infinity, indicating that it diverges.

The given sequence {an}1 = n²/en can be rewritten as {an}1 = \(n^2e^(^-^n^)\). To determine if it converges, we can analyze its behavior as n approaches infinity. By applying L'Hospital's rule, we differentiate both the numerator and denominator, obtaining {an}1 = \((2n)/(e^(^-^n^))\). Applying L'Hospital's rule again, we find {an}1 = \(2/(e^(^-^n^))\).

As n tends to infinity, \(e^(^-^n^)\) approaches zero, causing the denominator to approach zero. This indicates that the limit of {an}1 does not exist. Therefore, the sequence does not converge. The numerator's growth dominates the denominator's decay, preventing the sequence from converging to a specific value as n increases.

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Find the y-intercept of the line y = 7/9x + 2/3

Answers

The y-intercept of the equation of line  y = (7/9)x + 2/3 is 2/3.

What is the y-intercept of the given equation of line?

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation of line in the question;

y = 7/9 x + 2/3

Simplify the right hand side

y = (7/9)x + 2/3

Using the slope-intercept form, the y-intercept is 2/3.

Therefore, the y-intercept in point form is (0,2/3).

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I really need help..im confused

I really need help..im confused

Answers

The correct answer is C. Linear: About 87% of the variation of lobster length is associated with its age.

The coefficient of determination, also known as R-squared, represents the proportion of the dependent variable's variance that can be explained by the independent variable(s) in a regression model. A higher R-squared indicates a better fit of the model to the data and suggests that a greater proportion of the variation in the dependent variable (lobster length in this case) can be attributed to the independent variable (age).

In this scenario, the linear model has a coefficient of determination of 0.8724503, indicating that approximately 87% of the variation in lobster length can be explained by age. This suggests a strong relationship between age and length in a linear fashion.

Conversely, the exponential model has a lower coefficient of determination of 0.6730372, indicating that only about 67% of the variation in lobster length is associated with age. While this is still a moderate level of association, the linear model provides a better fit to the data and explains a higher proportion of the variation in length.

Therefore, based on the coefficient of determination, the linear model would be the better choice for projecting the length of a lobster.

Margo borrows $1300, agreeing to pay it back with 7% annual interest after 6 months. How much interest willshe pay?Round your answer to the nearest cent, if necessary.$

Answers

Recall the formula for determining the interest using simple interest

\(\begin{gathered} I=Prt \\ \text{where} \\ P\text{ is the principal amount} \\ r\text{ is the rate in decimal form} \\ t\text{ is time} \end{gathered}\)

Convert the rate into decimal form by dividing by 100%

\(7\%\div100\%=0.07\)

Substitute the following values

P = $1300, r = 0.07, t = 6/12 (12 months in a year, only 6 months has passed)

\(\begin{gathered} I=Prt \\ I=1300\cdot0.07\cdot\frac{6}{12} \\ I=91\cdot\frac{1}{2} \\ I=45.5 \end{gathered}\)

Therefore, Margo will pay back $45.50 in interest.

GIVING 35 POINTS PLEASE i REALLY NEED HELP WITH THIS PROBLEM PLEASE!!!!!
what is the result of dividing x^3-2x^2-31x-28 by x-7?

A)x^2+5x-4

B)x^2-9x-4

C)x^2-9x+4

D)x^2+5x+4

Answers

my man your answer is b

srry if im wrong

Man I think the answer is D correct if I’m wrong tho

Which of the following best describes the pattern in the diagram as you move
from the top to the bottom row?
1
2
3
A. Row 7 will contain 10 circles.
ООО
B. Each row increases by 1 circle.
O C. Each row increases by 2 circles.
o
D. Row 9 will contain 12 circles.

Which of the following best describes the pattern in the diagram as you movefrom the top to the bottom

Answers

Answer:

B

Step-by-step explanation:

Using the 100/50/20 Rule for daily fluid requirements (DFR). Calculate the following questions, do not round the patient's weight but round all final answers to a whole number. 1-10 kg = 100ml/kg/day 11-20 kg = 50ml/kg/day (+ 1000 mL/day for 1* 10kg) Over 20kg = 20mL/kg/day (1500 mL/day for 1s 20kg) 18. An infant weighs 11 pounds. What is the required amount of fluid per day in ml? I 19. A child weighs 31 lbs and 8 ozs. What is the required amount of fluid per day in ml? If no oral fluids are consumed, what is the hourly IV flow rate to maintain proper hydration?

Answers

18. An infant weighs 11 pounds which is equivalent to 4.98 kg. Using the 100/50/20 Rule, the required amount of fluid per day for an infant between 11-20 kg is 50 ml/kg/day. So, the required amount of fluid per day in ml is 4.98 kg x 50 ml/kg/day = 249 ml/day.

19. A child weighs 31lbs and 8 ozs which is equivalent to 14.21 kg. Using the 100/50/24 Rule, the required amount of fluid per day for a child over 20 kg is 20 ml/kg/day. So, the required amount of fluid per day in ml is 14.21 kg x 20 ml/kg/day = 284.2 ml/day.

If no oral fluids are consumed, the hourly IV flow rate to maintain proper hydration would be: 284.2 ml/day / 24 hours/day = 11.8 ml/hour.

Daily Fluid Requirements (DFR)

The question is about fluid requirements for infants and children, and it is using the 100/50/20 Rule for Daily Fluid Requirements (DFR) to calculate the required amount of fluid per day for different weight ranges. The 100/50/20 Rule is a guideline used to determine the appropriate amount of fluid that infants and children should receive on a daily basis based on their weight. The rule states that for infants and children up to 10 kg, the recommended fluid intake is 100 ml/kg/day, for those between 11-20 kg it is 50 ml/kg/day, and for those over 20 kg it is 20 ml/kg/day.

The question also asking about the hourly IV flow rate to maintain proper hydration if no oral fluids are consumed.

This subject is part of pediatrics, more specifically in the field of fluid and electrolyte balance and management.

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diana had 41 stickers she put them in 7 equal groups she put as many possible in each group she gave the leftover stickers to her sister how many stickers did diana give to her sister

Answers

6 number of stickers diana given to her sister.

What is Division?

A division is a process of splitting a specific amount into equal parts.

Diana had 41 stickers and she put them in 7 equal groups. To find out how many stickers she put in each group, we can divide 41 by 7:

41 ÷ 7 = 5 with a remainder of 6

This means that Diana put 5 stickers in each of the 7 groups, and she had 6 stickers leftover.

She gave the leftover stickers to her sister, so she gave her sister 6 stickers.

Hence, 6 number of stickers  diana given to her sister.

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Each chart has which three components (choose three)?
A. Forecast of customer
B. A center line representing the average
C. An upper line representing last week's sample
D. A lower line representing last week's sample
E. An upper line representing the maximum acceptable variation upwards
F. A lower line representing the maximum acceptable variation downwards
G. A center line representing the maximum acceptable variation centrally

Answers

Each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.Option B,E,F.

Each chart has the following three components:

1. B. A center line representing the average: This line is drawn to show the average value or mean of the data being analyzed. It provides a reference point to compare the data points above and below it.

2. E. An upper line representing the maximum acceptable variation upwards: This line is drawn to indicate the upper limit of acceptable variation or deviation from the average. It helps identify if the data points exceed the acceptable range.

3. F. A lower line representing the maximum acceptable variation downwards: This line is drawn to indicate the lower limit of acceptable variation or deviation from the average. It helps identify if the data points fall below the acceptable range.

These three components together create a control chart, which is a graphical representation used in statistical process control. Control charts help monitor and analyze data over time, allowing organizations to identify trends, detect abnormalities, and make data-driven decisions to improve processes and quality.

In summary, each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.

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select all of the statements that correctly describe the Pythagorean theorem and it’s converse HELP ASAP

select all of the statements that correctly describe the Pythagorean theorem and its converse HELP ASAP

Answers

Answer:i took this test so i’m pretty sure it’s c and f

Step-by-step explanation:

Vincent has 12 jars of grape jam, 16 jars of strawberry jam, and 24 jars of raspberry jam. He wants to

place the jam into the greatest possible number of boxes so that each box has the same number of jars

of each kind of jam. How many boxes does he need? GCF or LCM. How do you know?

Answers

Answer:

The greatest possible number of boxes that he needs is 4 boxes.

Step-by-step explanation:

This question is to be solved using the method of Greatest Common Factor (GCF). This is because the question asked us to find the greatest possible number of boxes so that each box has the same number of jars

Vincent has 12 jars of grape jam, 16 jars of strawberry jam, and 24 jars of raspberry jam.

Using the Greatest Common Factor method, the first step would be to determine the factors of 12, 16 and 24

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

Then the greatest common factor is given as: 4.

Therefore, the number of boxes that he needs is 4 boxes

There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?

Answers

The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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what is the bill for 10 day rental b = 45.95d + 38.5

Answers

Answer:

b = 498

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

b = 45.95d + 38.5

d = 10 days

Step 2: Evaluate

Substitute:                    b = 45.95(10) + 38.5Multiply:                        b = 459.5 + 38.5Add:                              b = 498

Answer:

498 dollars

Step-by-step explanation:

So just plug in the 10 in the equation for D

45.95*10+38.5

Now just solve using order of operations

You would get 498

Each side of a square is 6 2/3 m long. Find its Area

Answers

Answer: 80/3

Step-by-step explanation:

3+11(x+y)-4(x+y)^{2}

Answers

Answer:

3+11x+11y-4x^2-8xy-4y^2

Step-by-step explanation:

Using the distributive property, we get 3+11x+11y-4x^2-8xy-4y^2

please answer these math questions the questions are provided below in the pictures so solve the graphs and put the right answer please.

please answer these math questions the questions are provided below in the pictures so solve the graphs
please answer these math questions the questions are provided below in the pictures so solve the graphs
please answer these math questions the questions are provided below in the pictures so solve the graphs
please answer these math questions the questions are provided below in the pictures so solve the graphs

Answers

1. For Joshua's triangle; the distance of the green side of the triangle d₃ is 5.

2. For Murney's triangle, the perimeter of the triangle is 12.

3. For Grace, Abby and Chris's triangle, the perimeter of the triangle is 5 + √17 +  4√2.

4. For Chloe's triangle, the perimeter of the triangle is 11 + √65.

What is distance of the triangles?

The distance of the triangles is calculated as follows;

For Joshua's triangle;

The length of d₁, d₂, and d₃ is calculated as follows;

d₁ = √ [(3 - 2)² + (2 - 0)²] = √5

d₂ = √ [(-1 - 3)² + (4 - 2)²] = 2√5

d₃ = √ [(-1 - 2)² + (4 - 0)²] = 5

The distance of the green side of the triangle d₃ = 5

For Murney's triangle, the perimeter of the triangle is calculated as;

BC = √ [(4 - 4)² + (6 - 2)²] = 4

AC = √ [(1 - 4)² + (2 - 2)²] = 3

AB = √ [(4 - 1)² + (6 - 2)²] = 5

Perimeter = 4 + 3 + 5 = 12

For Grace, Abby and Chris's triangle, the perimeter of the triangle is calculated as;

AC = √ [(-3 - 2)² + (2-2)²] = 5

BC = √ [(1 - 2)² + (2 + 2)²] = √17

AB = √ [(1 + 3)² + (2 + 2)²] = 4√2

Perimeter = 5 + √17 +  4√2

For Chloe's triangle, the perimeter of the triangle is calculated as;

AC =  √ [(-3 - 4)² + (2-2)²] = 7

BC =  √ [(4 - 4)² + (6-2)²] = 4

AB =  √ [(4 + 3)² + (6-2)²] = √65

Perimeter = 7 + 4 + √65 = 11 + √65

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7 m
10 m
7 m
9 m
34 m
how do I find the area?

7 m10 m7 m9 m34 mhow do I find the area?

Answers

Answer:

you multiply all of those answers

Step-by-step explanation:

State the inequality that the graph below is showing using the variable n. For example, you should enter something like n > -3.

State the inequality that the graph below is showing using the variable n. For example, you should enter

Answers

The inequality represented by the graph below is n < 11.

How to determine inequality on a graph?

Inequalities' solutions can be represented numerically on a line graph as rays. An open dot is used to show that the endpoint of the ray is not a component of the solution when the inequality has a "strict" greater than and less than sign. We utilise a closed dot for the other sorts of greater than equal to and less than equal to signals of inequality. We draw a dashed line for two variables in a tight inequality to indicate that the points along the line are not components of the solution. We create a solid line to indicate that the points on the line are a component of the solution for an inequality that contains the equals sign.

From the graph we observe that the point lies on 11.

The point is a open point. So, the inequality would be <, or >.

The line that goes to the left of the graph, that is the values decrease from 11.

Hence, the inequality represented by the graph below is n < 11.

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An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 3 1 3 yards of paper for one box and 5 6 yard of paper for the other box. The paper must be cut into pieces that are 1 6 yard long. How many pieces will the student cut to use for the gift boxes?

Answers

Answer:

25 pieces

Step-by-step explanation:

Given

\(Box_1 = 3\frac{1}{3}\)

\(Box_2 = \frac{5}{6}\)

\(Pieces = \frac{1}{6}\) yard

Required

Determine the number of pieces

First, we need to determine the total yards of paper

\(Total = Box_1 + Box_2\)

\(Total = 3\frac{1}{3} + \frac{5}{6}\)

\(Total = \frac{10}{3} + \frac{5}{6}\)

\(Total = \frac{20 + 5}{6}\)

\(Total = \frac{25}{6}\)

Divide by the size of the pieces to get the number of pieces

\(Number = Total/Pieces\)

\(Number = \frac{25}{6} / \frac{1}{6}\)

\(Number = \frac{25}{6} * \frac{6}{1}\)

\(Number = \frac{25}{1} * \frac{1}{1}\)

\(Number = 25\)

A rectangle is divided into 15 equal parts . How many square makes 1/3 of the rectangle?

Answers

5 square makes up a rectangle 1/3
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