The number of the ways to seat the jury members around a circular table for deliberations are 5040.
What is permutation?A permutation is a word that describes the number of ways things can be ordered or arranged.
Given that, we need to find that how many ways are there to seat the jury members around a circular table for deliberations,
We know that,
There are (n-1)! ways to seat n people at a circular table,
Since, there are no number of people is given, let us assume that there are 8 members,
Therefore,
The number of ways to seat the jury members around a table =
(8-1)! = 7!
= 5040
Hence, the number of the ways to seat the jury members around a circular table for deliberations are 5040.
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Suppose we want to choose 2 letters, without replacement, from the5 letters A, B, C, D, and E.
There are 20 ways to choose 2 letters from the set A, B, C, D, and E if the order of the choices is relevant
If the order of the choices is relevant, we are looking for the number of permutations of 2 letters chosen from a set of 5 letters. We can use the permutation formula to calculate this:
nPr = n! / (n - r)!
where n is the total number of items in the set (5 letters in this case), and r is the number of items we want to choose (2 letters in this case).
nPr = 5! / (5 - 2)!
nPr = 5! / 3!
nPr = 5 x 4 x 3 x 2 x 1 / (3 x 2 x 1)
Divide the numbers
nPr = 20
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The given question is incomplete, the complete question is:
Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E.
How many ways can this be done, if the order of the choices is relevant?
what us systems of equations solver
Systems of equations solver called Wolfram or Alphas can resolve systems of linear equations or nonlinear equations, and it can look for solutions that are only integers.
Systems of direct equations are a common and applicable subset of systems of equations. In the case of two variables, these systems can be allowed of as lines drawn in two- dimensional space. However, the system is said to be harmonious and has a result at this point of crossroad, If all lines meet to a common point. The system is said to be inconsistent else, having no results. Systems of direct equations involving further than two variables work also, having either one result, no results or horizonless results( the ultimate in the case that all element equations are original).
More general systems involving nonlinear functions are possible as well. These retain more complicated result sets involving one, zero, horizonless or any number of results, but work also to direct systems in that their results are the points satisfying all equations involved. Going further, more general systems of constraints are possible, similar as bones that involve inequalities or have conditions that certain variables be integers.
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How many cm in 63 inches?
63 inches is nearly equal to 160.02 cm, rounded to two decimal places.
The Imperial and US Customary measuring systems both utilise the inch as their unit of measurement.
It is the unit of length.
Furthermore, length is measured in centimetres,
Used in the International System of Units,
This is the metric system's present configuration.
52 centimetres equal 20.47 inches (centimeters).
63 inches are equal to 160.02 centimetres.
To convert inches to centimeters,
We can use the following conversion:
1 inch = 2.54 cm
Therefore,
To convert 63 inches to centimeters,
You can multiply 63 by 2.54:
63 inches × 2.54 cm/inch
= 160.02 cm
So 63 inches is nearly equal to 160.02 cm, rounded to two decimal places.
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Answer these 2 pls there are math questions
Answer:
x = 50°
d = 40°
Step-by-step explanation:
Angle sum property of quadrilateral:Quadrilaterals are four-sided polygon and the sum of all the interior angles is 360°
Sum of all angles of quadrilateral = 360°
60° + x + 3x + 2x = 360
60 + 6x = 360
Subtract 60 from both sides,
6x = 360 - 60
6x = 300
Divide both sides by 6
x = 300 ÷ 6
x = 50°
b) 120° + 110° + 90° + d= 360°
320 + d = 360
Subtract 320 from both sides,
d = 360 - 320
d = 40°
A bag contains 9 blue marbles and 45 white marbles. If a representative sample contains 2 blue marbles, then how many white marbles would you expect it to contain? Explain.
Because the ratio of blue marbles to white marbles is ___
in the population, the expected number of white marbles is ___ times the number of marbles in the representative sample. There should be ___ white marbles.
Please help me ASAP ty!
10 is five times larger than 2, and the ratio of blue to white marbles in the population is 1:5
What is ratio ?
Ratio can be defined as given value divided by total value.
The ratio of blue marbles to white marbles in the population is:
9 blue marbles : 45 white marbles
which simplifies to:
1 blue marble : 5 white marbles
If a representative sample contains 2 blue marbles, we can use this ratio to find the expected number of white marbles in the sample:
2 blue marbles × 5 white marbles/blue marble = 10 white marbles
Therefore, we would expect the representative sample to contain 10 white marbles.
To explain this result, we can think of the representative sample as a smaller version of the population, where the ratio of blue marbles to white marbles is the same. Since we know that the ratio of blue to white marbles in the population is 1:5, we can use this ratio to estimate the number of white marbles we would expect to see in the sample, given that we have observed 2 blue marbles. In this case, we would expect to see 10 white marbles,
Hence, 10 is five times larger than 2, and the ratio of blue to white marbles in the population is 1:5
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2017, 1.20. 1ST
Watch help video
A pole 5 feet tall is used to support a guy wire for a tower, which runs from the tower
to a metal stake in the ground. After placing the pole, Liam measures the distance
from the pole to the stake and from the pole to the tower, as shown in the diagram
below. Find the length of the guy wire, to the nearest foot.
Spr
Answer:
(Diagram is not to scale.)
5 ft
9 ft-
4 ft
ft
Submit Answe
The length of the wire is given as follows:
21 ft.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.From the similar triangles, the proportional relationship to obtain the height of the tower is given as follows:
4/5 = 13/h
4h = 13 x 5
h = 13 x 5/4
h = 16.25.
Applying the Pythagorean Theorem, the length of the wire is given as follows:
l² = 16.25² + 13²
l = sqrt(16.25² + 13²)
l = 21 ft.
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Explain how to use the commutative property of multiplication to rewrite 4gh^3g^2h.
The commutative property of multiplication can be used to rewrite the given term as; 4g³h⁴.
What is the commutative property of multiplication?The commutative property of multiplication simply postulates that changing the order of factors does not change the product. Hence; a × b = b × a.
Hence, since the given expression; 4gh³g²h can be written using the commutative property as;
4 • g • g² • h³ • h.
Consequently, the resulting form of the term is therefore; 4g³h⁴.
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I need Help :(((
I don't know how to write the symbols from the equation but I have included the photo.
Answer:
Quadrant III, sin θ = -12/13
Step-by-step explanation:
To solve this problem we can look at a unit circle (attached below). We can observe the following about the quadrants:
cos θ = 5/13 falls into the first OR fourth quadrant since cos (67) = 5/13 (roughly, obtained with inverse cosine function). However, we also have the restriction that sin θ < 0, therefore the quadrant that cos θ falls into is the fourth quadrant.
To find sin θ we first consider that cosine is adjacent over hypoteneuse. So, a = 5 and h = 13. Using pythagorean theorem we find that o (opposite) is equal to 12. Since sine is opposite over hypoteneuse we have:
sin θ = ±12/13
We use the plus or minuse sign because sin θ maps to both a positive and negative value, even though we used a geometrical approach, we still have to consider this. Of course, we know that sin θ has to be negative (given in the problem) so sin θ is -12/13.
how to calculate 27 divided by 3
Answer:
Use a calculator it is 9
Step-by-step explanation:
how much is 132 kg to lbs
The weight 132 Kg is approximately equivalent to 291 pounds (lbs) .
Both the units Pounds (lbs) and Kilogram (kg) are both the units of measurement of weights or mass .
We know that , 1 Kilogram is approximately equal to 2.2046 pounds (lbs) .
So , the conversion factor to convert the given weight becomes 2.2046 ;
We multiply the given weight with the conversion factor ,
We can write ;
⇒ 132 Kg = 132 × 2.2046
⇒ 132 Kg = 291.0072 lbs ≈ 291 lbs .
Therefore , 132 Kg is approximately equal to 291 lbs .
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Two vectors are linearly dependent if and only if they are collinear.
True/False
The given statement "Two vectors are linearly dependent if and only if they are collinear" is true because one is a scalar multiple of the other.
Two vectors are linearly dependent if and only if one of them is a scalar multiple of the other. This means that if you have two vectors, say v and w, then there exists a scalar c such that v = cw or w = cv.
If v and w are collinear, then they lie on the same line and one is a scalar multiple of the other. Specifically, if v = (a, b) and w = (c, d) are collinear, then there exists a scalar k such that v = kw, which means that a = kc and b = kd.
Conversely, if v and w are linearly dependent, then one is a scalar multiple of the other, which means that they lie on the same line and are collinear.
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Please help me for 30 points!!.
By adding the fractions and getting 5/6, we conclude that the correct option is B.
How Mariana could share the crackers left?We know that Mariana has 5/6 of the crackers left, so we only need to select the option where both fractions add upt o 5/6.
When both fractions have the same denominator like:
a/b and c/b
The sum is:
a/b + c/b = (a + c)/b
Then the correct option is the second one:
3/6 + 2/6 = (3 + 2)/6 =5/6
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You choose between red, blue, yellow, or green wallpaper and purple or yellow carpet. Find the total number of possible outcomes when you select one color of wallpaper and one color of carpet.
Answer: there are 8 outcomes
Step-by-step explanation:
1: red wallpaper and purple carpet
2: blue wallpaper and purple carpet
3: yellow wallpaper and purple carpet
4: green wallpaper and purple carpet
5: red wallpaper and yellow carpet
6: blue wallpaper and yellow carpet
7: yellow wallpaper and yellow carpet
8: green wallpaper and yellow carpet
2. CJ and Torey each have a rectangular prism. The base of CJ’s prism is 4 cm by 7 cm and has a height of 12 cm. The base of Torey’s prism is 6 cm by 10 cm and has a height of 3 cm. Whose rectangular prism will require more material to construct?
CJ's rectangular prism will require more material to construct since it has a larger surface area than Torey's prism.
To compare the amount of material required to construct the two rectangular prisms, we need to calculate the surface area of each prism. The surface area of a rectangular prism is given by the formula:
Surface area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the rectangular prism.
For CJ's prism, we have:
l = 7 cm, w = 4 cm, h = 12 cm
So the surface area of CJ's prism is:
Surface area of CJ's prism = 2(7 cm x 4 cm) + 2(7 cm x 12 cm) + 2(4 cm x 12 cm)
= 56 cm² + 168 cm² + 96 cm²
= 320 cm²
For Torey's prism, we have:
l = 10 cm, w = 6 cm, h = 3 cm
So the surface area of Torey's prism is = 2(10 cm x 6 cm) + 2(10 cm x 3 cm) + 2(6 cm x 3 cm)
= 120 cm² + 60 cm² + 36 cm²
= 216 cm²
Therefore, CJ's rectangular prism will require more material to construct since it has a larger surface area than Torey's prism.
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Al Medina, D.D.S, opened an incorporated dental practice on January 1, 2022. During the first month of operations, the following transactions occurred.
Performed services for patients who had dental plan insurance. At January 31, $760 of such services was completed but not yet billed to the insurance companies.
Utility expenses incurred but not paid prior to January 31 totaled $450.
Purchased dental equipment on January 1 for $80,000, paying $20,000 in cash and signing a $60,000, 3-year note payable (interest is paid each December 31). The equipment depreciates $400 per month. Interest is $500 per month
Purchased a 1-year malpractice insurance policy on January 1 for $24,000.
Purchased $1,750 of dental supplies (recorded as increase to Supplies). On January 31, determined that $550 of supplies were on hand.
Prepare the adjusting entries on January 31. Account titles are Accumulated Depreciation- Equipment, Depreciation Expense, Service Revenue, Accounts Receivable, Insurance Expense, Interest Expense, Interest Payable, Prepaid Insurance, Supplies, Supplies Expense, Utilities Expense, and Accounts Payable. (If no entry is required, select "No Entry for the account titles and enter O for the amounts. Credit account titles are automatically indented when the amount is entered. Do not indent manually.
The entry to record the services provided to patients with dental plan insurance but not yet billed is: Debit: Accounts Receivable - Dental Plan Insurance $760 ,Credit: Dental Services Revenue $760.
How to prepare the journal entry?To prepare the adjusting entries on January 31 for Al Medina, D.D.S, we need to analyze the transactions and determine the amounts that need to be recorded as expenses, prepaid expenses, and accrued expenses. Based on the information given, the following adjusting entries are required:
To record the services provided to patients with dental plan insurance but not yet billed:
Debit: Accounts Receivable - Dental Plan Insurance $760
Credit: Dental Services Revenue $760
To record the utility expense incurred but not yet paid:
Debit: Utilities Expense $450
Credit: Utilities Payable $450
To record the depreciation expense for the dental equipment:
Debit: Depreciation Expense $400
Credit: Accumulated Depreciation - Dental Equipment $400
To record the interest expense on the note payable:
Debit: Interest Expense $500
Credit: Interest Payable $500
To record the portion of the malpractice insurance policy that has been used up in January:
Debit: Insurance Expense $2,000 ($24,000 ÷ 12 months)
Credit: Prepaid Insurance $2,000
To adjust the Supplies account for the supplies used up in January:
Debit: Supplies Expense $1,200 ($1,750 - $550)
Credit: Supplies $1,200
Therefore after posting these adjusting entries, the financial statements will reflect the correct balances in the accounts and the expenses and revenues for the month of January will be accurately reported.
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What's the derivative of cubed root X
The derivative of cubed root X is:
[tex]\frac{1}{3\sqrt[3]{X^{2} } }[/tex]
To find the derivative of cubed root X, we can use the power rule. The power rule states that the derivative of Xⁿ is nX⁽ⁿ⁻¹⁾. In this case, the cubed root of X can be written as X^(1/3).
Using the power rule, we can find the derivative:
[tex]\frac{d}{dx} (X^{1/3} )= \frac{1}{3} (X^{(1/3) - 1})[/tex]
Simplifying the exponent gives us:
[tex]\frac{d}{dx} (X^{(1/3)}) = \frac{1}{3}X^{-2/3}[/tex]
Finally, we can rewrite the expression to get rid of the negative exponent:
[tex]\frac{d}dx}(X^{(1/3)}) = \frac{1}{3\sqrt[3]{X^{2} } }[/tex]
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Which could be the function graphed below? on a coordinate plane, a curve opens down and to the right in quadrants 1 and 4. the curve starts on the y-axis in quadrant 4 and goes through the x-axis into quadrant 1. f (x) = startroot x endroot minus 2 f (x) = startroot x minus 3 endroot 1 f (x) = startroot 2x 4 endroot f (x) = startroot x 1 endroot 8
The function that can be graphed is option (d) f(x) = √(x + 1) + 8
Functions are commonly used in mathematics to describe relationships between variables.
To determine which of the four functions could be graphed, we first need to identify the curve's intercepts and asymptotes.
From the graph, we can identify the intercepts as (0,8) and (–3,0). The asymptotes are given by the equations x = 0 and y = 8. We can then use these points to compare the given functions and determine which one could be used to graph the curve.
Of the four functions, only f(x) = √(x + 1) + 8 fits the given description. This function has intercepts at (0,8) and (–3,0) and asymptotes at x = 0 and y = 8. Thus, f(x) = √(x + 1) + 8 is the function that could be graphed
Therefore, option (d) is right choice.
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Answer: D
Step-by-step explanation:
EDGE 2023
The number of cows a farmer has on his farm over several years can be modeled by an arithmetic sequence. During the 2nd, 5th, and 7th years, he has 30, 39, and 45 cows, respectively. How many cows did the farmer have in his first year on the farm?
As per the arithmetic sequence, the farmer have 21 cows in his first year on the farm
An arithmetic sequence is a sequence of numbers in which each successive number is obtained by adding a fixed number to the previous number.
To determine the common difference, we can take the difference between any two consecutive terms in the sequence.
The difference between the 2nd and 5th years is 9 cows
=> (39 - 30 = 9).
Now that we know the common difference is 9, we can use it to find the first term of the sequence. To do this, we can take the second term (30 cows) and subtract the common difference from it.
This would give us the first term of the sequence, which is 21 cows.
Therefore, the farmer had 21 cows in his first year on the farm.
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what is 105 cm to inches?
Answer: 41.3386
Step-by-step explanation:
Santos invested $1200 into an account with an interest rate of 8% compounded monthly. Use a calculator to approximate how long it will take for Santos’s investment to reach $2500. Round to the nearest tenth
The number of years it will take to reach $2500 is 9.21 years.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
Principal = $1200
Rate = 8%
Compounded monthly.
So,
n = 12
A = $2500
Now,
A = P [tex](1 + r/n)^{nt}[/tex]
Substituting all the values above.
2500 = 1200 x [tex](1 + 0.08/12)^{12t}[/tex]
25 = 12 x [tex](1.0067)^{12t}[/tex]
25/12 = [tex](1.0067)^{12t}[/tex]
2.0833 = [tex](1.0067)^{12t}[/tex]
Taking logs on both sides.
log (2.0833) = 12t log (1.0067)
12t = log (2.0833) / log (1.0067)
t = 9.205 years
Thus,
It will take 9.21 years to reach $2500.
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Ashley and Gina took off from the same spot at the same time and headed in the same direction. if Ashley travels at 20 mph and Gina travels at 14 mph, how many hours will it be before Ashley is 9 miles ahead of Gina? Write the answer as a decimal
Answer:
It will take Ashley 3 hours to be 9 miles ahead of Gina, since she is traveling 6 mph faster. This can be calculated by dividing 9 miles by 6 mph to get 1.5 hours. Therefore, the answer is 1.5 hours, or 1.5 as a decimal.
13 5/12 - 6 7/12 Please help me asap i really need this answer in fractions
Which body formally "impeaches" the president
Answer:
if ur asking who removes the president from office it's the constitution
TRANSPORT Mr Dlamini transport people between Butterworth and East London using a bus which has a capacity of 100 people. The transport charge starts with a minimum charge of R8 and thereafter it was increased by R2 for each kilometre. On a particular day the bus was full with passengers from Butterworth. In each and every kilometre there was a passenger getting off while no new passenger entered in the bus. Mr Dlamini was calculating total money in his hand after each passenger was getting out. The total amount he has after each stop can be written as a series as follows: S. = 8 + 10 + 12 + 14 +... Use the series to calculate the following questions 1.1 (1) Term 2 (T2) = Sum of first two terms (S2) (2) (ii) Express T2 in terms of S, and S2. (1)
From the series, it can be deduced that the sum of the first two terms will be 18.
How to calculate the series?From the information given, it was stated that the transport charge starts with a minimum charge of R8 and thereafter it was increased by R2 for each kilometre.
The series is also given as S. = 8 + 10 + 12 + 14 +... Therefore, the sum of the first two terms will be:
= 8 + 10
= 18
Expressing T2 in terms of S, and S2 will be T2 = S + S2.
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how many milligrams are in a millimeter
The formula to convert from milligrams to milliliters is mL = mg/1000 because there must be 1,000 milligrams in a milliliter.
Whereas a milligram (mg) is a unit of mass, a millimeter (mm) is a unit of length. There is no direct translation between these two units since they measure distinct things.
The mass in milligrams of a volume of a given substance with all dimensions equal to 1 millimeter can, however, be determined if you are requesting information on a specific substance and its density.
Given that there are 1000 cubic millimeters (mm3) in one cubic centimeter, if the material in question does have a density of 1 gram per cubic centimeter (g/cm3), for instance, a 1 mm3 volume of the material would have a mass of 1 milligram (mg).
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Please help I’ll give brainliest
Answer:-4x - 80z
10x^2=100-10z=90z -2x^2=4x-10z-90z
-90z
=--4x80z
find sides x and z for a 45, -45, 90 right triangle with the hypnotus being 8 radical 3 pls i’m so lost on how to find it
the value of x will be 8√2 for the given right-angle triangle.
What is the right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, Two right-angle triangles one with the height of "x" and a base angle of 45-degree.
Another with a base of 8 and a base angle of 60-degree.
From the cosine rule of trigonometry:
Cos θ = base/(hypotenuse)
Sin θ = height/(hypotenuse)
For the triangle with a base angle of 45-degree
sin 45 = height/(hypotenuse)
1/√2 = x/(hypotenuse)
hypotenuse = x *√2.....(1)
For the triangle with a base angle of 60-degree
cos 60 = base/(hypotenuse)
1/2 = 8/(hypotenuse)
hypotenuse = 16
substitute this value in equation 1
x = 8√2
therefore, the value of x will be 8√2 for the given right-angle triangle.
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Samuel found the difference of the polynomials.
(15x^(2)+11y^(2)+8x)-(7x^(2)+5y^(2)+2x)
Samuel found the difference between the polynomials is 8x² + 6y² + 6x.
What is the polynomials?
An expression that contains coefficients, variables, non-negative integer exponents, and constants is known as a polynomial.
To find the difference between the polynomials, we need to subtract the second polynomial from the first polynomial.
(15x² + 11y² + 8x) - (7x² + 5y² + 2x)
First, we can simplify the coefficients of the like terms by subtracting them:
15x² - 7x² + 11y² - 5y² + 8x - 2x
Simplifying further, we get:
8x² + 6y² + 6x
Therefore, the difference between the polynomials is 8x² + 6y² + 6x.
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Danielle and David will run in a marathon. Danielle’s running pace is 7 miles per hour, and David’s is 4 miles per hour. If they both start at the same point, how many minutes should it take Danielle to be 12
mile ahead of David?
It should take Danielle 4 hours, or 240 minutes (since 1 hour = 60 minutes), to be 12 miles ahead of David.
What is the relative velocity?
Relative velocity is the velocityof an object or a person with respect to another object or person. It is the rate at which one object is moving with respect to another object. In other words, relative velocityis the speed at which an object is moving relative to a reference point.
To answer this question, we can use the formula:
time = distance / relative speed
Here, we need to find the time it takes for Danielle to be 12 miles ahead of David. Let's assume that t is the time in hours it takes for Danielle to be 12 miles ahead of David.
During this time, Danielle would have covered 12 more miles than David. Therefore, the distance between Danielle and David will be 12 miles.
Relative speed between them can be calculated by subtracting David's speed from Danielle's speed, since they are running in the same direction. So, relative speed will be:
relative speed = Danielle's speed - David's speed
= 7 - 4
= 3 miles per hour
Now, we can substitute the values of distance and relative speed in the formula to find the time it takes for Danielle to be 12 miles ahead of David:
time = distance / relative speed
= 12 miles / (3 miles per hour)
= 4 hours
Hence, it should take Danielle 4 hours, or 240 minutes (since 1 hour = 60 minutes), to be 12 miles ahead of David.
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The scale drawing has a scale of 1inch:9 yards. What is the total area of the composite figure that the drawing represents?
The total area of the composite figure represented by the scale drawing is 2,168.1 square yards.
Describe Measurements?Measurements refer to the process of assigning numerical values to physical quantities such as length, mass, time, temperature, and many others. These numerical values are expressed in units, which are standardized and accepted values used for comparison and communication.
Measurement is an essential part of science, engineering, and many other fields where precise and accurate data is required. Measurements allow us to make quantitative comparisons, analyze data, and draw conclusions.
There are different methods of measurement depending on the physical quantity being measured. For example, length can be measured using a ruler or tape measure, mass can be measured using a scale, and time can be measured using a clock or stopwatch.
It is important to note that measurements can have errors due to various factors such as limitations of the measuring instruments, environmental factors, and human error. Therefore, it is crucial to understand the limitations of the measuring instruments and to take steps to reduce errors as much as possible.
Overall, measurements are an important tool for gaining knowledge and understanding of the physical world, and they play a critical role in many aspects of our daily lives.
To find the total area of the composite figure represented by the scale drawing, we need to use the scale to convert the measurements in inches to measurements in yards, and then use these measurements to calculate the areas of the individual shapes and add them together.
Let's assume that we have labeled the various shapes in the composite figure A, B, C, and D, as shown in the scale drawing.
To convert the measurements in inches to yards, we need to divide each measurement in inches by 36 (since there are 36 inches in a yard) and then multiply by the scale factor of 9 yards per inch. This gives us the measurements in yards:
Shape A: 3 inches x 9 yards/inch = 27 yards (length), 2 inches x 9 yards/inch = 18 yards (width)
Shape B: 5 inches x 9 yards/inch = 45 yards (length), 3 inches x 9 yards/inch = 27 yards (width)
Shape C: 3 inches x 9 yards/inch = 27 yards (diameter)
Shape D: 2 inches x 9 yards/inch = 18 yards (length), 2 inches x 9 yards/inch = 18 yards (width)
Now we can calculate the areas of each shape using the appropriate formulas:
Area of Shape A: length x width = 27 yards x 18 yards = 486 square yards
Area of Shape B: length x width = 45 yards x 27 yards = 1,215 square yards
Area of Shape C: (pi x (diameter/2)^2)/4 = (pi x (27/2)^2)/4 = 143.1 square yards (using the formula for the area of a circle)
Area of Shape D: length x width = 18 yards x 18 yards = 324 square yards
Finally, we can add up the areas of all four shapes to get the total area of the composite figure:
Total area = 486 square yards + 1,215 square yards + 143.1 square yards + 324 square yards
Total area = 2,168.1 square yards
Therefore, the total area of the composite figure represented by the scale drawing is 2,168.1 square yards.
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