The polygons are similar but not necessarily drawn to scale the value of x is 13.
We can set up a proportion between the corresponding sides of the two similar polygons:
Polygons are two-dimensional geometric shapes that are made up of straight lines and closed loops.
Polygons are characterized by the number of sides, angles, and vertices they have. The sides of a polygon are the straight lines that connect the vertices, while the vertices are the points where the sides meet. The angles of a polygon are formed by the intersection of two adjacent sides.
(x - 3) / 2.5 = 8 / 2
=> 16 / 4
Simplifying each side of the equation:
(x - 3) / 2.5 = 4
Multiplying both sides by 2.5 to isolate x:
x - 3 = 10
Adding 3 to both sides:
x = 13
Therefore, the value of x is 13.
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Note: The full question is
The polygons are similar but not necessarily drawn to scale, find the value of x.
Bigger polygon has x - 3, 8, and 16
Smaller has 2.5, 2, 4
irst consider a public good of value to Ann and Bob with the property that the value of the good can be expressed in monetary terms. In this case, the Samuelson condition states that the efficient level of the good is determined by MV +MVP where p is the per A B unit price of the good, and, for example, MV is Ann's marginal value of the good. Now consider a public good of value to Ann and Bob, the value of which CANNOT be expressed in monetary terms. In this case A O a. The Samuleson condition continues to work as in the case where values CAN be expressed in monetary terms. O b. We need more information before we can know how to modify the Samuelson condition. O c. The Samuelson condition is of no use because we cannot compare Ann's utility to Bob's. O d. The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.
The correct answer is (d) The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.
When the value of a public good cannot be expressed in monetary terms, the Samuelson condition still holds, but some modifications are required. In this case, the per-unit price (p) used in the Samuelson condition needs to be replaced with a relative price, which represents the trade-off between the public good and other goods or services. Additionally, the marginal values (MV) of the public good need to be replaced with the Marginal Rates of Substitution (MRS), which measure the rate at which one person is willing to substitute the public good for another good.
Therefore, to determine the efficient level of the public good, the modified Samuelson condition uses a relative price and the corresponding Marginal Rates of Substitution.
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Jeremy wants to verify that the transformation shown is a dilation. He finds the lengths of segments QA and AD to be 4 units. To verify that the transformation is a dilation, Jeremy should also check which of the following? Select three options.
1. QB = 1/2QE
2.QC = CF
3. DE = 2AB
4. AC = 1/2EF
5. if BC = 2.25, then EF = 2.25
Based on the information given regarding the triangle, to verify that the transformation is a dilation, the things that should be checked include:
QB = One-halfQEQC = CFDE = 2ABSolving the traingle.From the information given, it was stated that Jeremy wants to verify that the transformation shown is a dilation and that he finds the lengths of segments QA and AD to be 4 units.
Therefore, to verify that the transformation is a dilation, Jeremy should also check QB = One-halfQE; QC = CF; and DE = 2AB.
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A group of adult males has foot lengths with a mean of 28.44 cm and a standard deviation of 1.13 cm. Use the range rule of thumb for identifying significant values to identify the limits separating values that are significantly low or significantly high. Is the adult male foot length of 25.9 cm significantly low or significantly high?
The adult male foot length of 25.9 cm is below the lower limit of 26.18 cm. Therefore, based on the range rule of thumb, the foot length of 25.9 cm is significantly low.
The range rule of thumb is a rough guideline for identifying significant values based on the standard deviation. According to this rule, a value is considered significantly low or significantly high if it falls outside the range of ±2 standard deviations from the mean.
Given the foot length data for adult males:
Mean (μ) = 28.44 cm
Standard Deviation (σ) = 1.13 cm
To determine the range for significantly low or significantly high values, we calculate:
Lower Limit = Mean - (2 × Standard Deviation)
Upper Limit = Mean + (2 × Standard Deviation)
Lower Limit = 28.44 - (2 × 1.13)
Upper Limit = 28.44 + (2 × 1.13)
Lower Limit = 28.44 - 2.26
Upper Limit = 28.44 + 2.26
Lower Limit ≈ 26.18 cm
Upper Limit ≈ 30.70 cm
According to the range rule of thumb, any foot length below 26.18 cm or above 30.70 cm would be considered significantly low or significantly high, respectively.
The adult male foot length of 25.9 cm is below the lower limit of 26.18 cm. Therefore, based on the range rule of thumb, the foot length of 25.9 cm is significantly low.
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what are disadvantages of using this type of data collection? check all that apply.the response rate may be too high to manage.respondents may exaggerate or distort facts.respondents might consider the survey to be junk mail.respondents do not have enough time to consider their answers.respondents may not represent an accurate population sample.
These disadvantages can impact the validity and reliability of the data collected using this type of data collection method. To mitigate these issues, researchers should design the survey carefully, ensure a representative sample, and provide clear instructions to respondents.
There are several disadvantages of using the mentioned type of data collection, which could affect the quality and reliability of the data gathered.
1. Respondents may exaggerate or distort facts: It is possible that some respondents may not provide accurate information, either due to the desire to present themselves in a better light or misremembering details. This can lead to biased or inaccurate data.
2. Respondents might consider the survey to be junk mail: If the survey is distributed via mail or email, some recipients may disregard it as unwanted communication. This can result in a lower response rate and a less representative sample of the population.
3. Respondents do not have enough time to consider their answers: If the survey has a tight deadline or contains complex questions, respondents may feel rushed and not have adequate time to reflect on their responses. This can lead to hasty or incomplete answers that do not accurately capture their opinions or experiences.
4. Respondents may not represent an accurate population sample: If the survey's sample is not representative of the target population, the results may be biased and not generalizable to the broader population. It is crucial to ensure that the sample selection process is unbiased and reaches a diverse range of participants.
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I WILL GIVE BRAINLIST NEED HELP ASAP
Jeff stacked 4 identical
solid blocks, each with the dimensions shown below.
What is the volume of the stack of blocks Jeff made?
A
72 cubic inches
B
120 cubic inches
C
288 cubic inches
Answer:
288 Inches^3
Step-by-step explanation:
1 Box:-
V=L*W*H, V=6*4*3, V=72 inches^3
4 Box:-
1 Box=72, 72*4=288 inches^3
*I am not 100% sure if this is accurate or not.*
Answer:
The answer is C witch is 288 cubic inches
Step-by-step explanation:
if you muliply all the sides times 4 you would get 288
3x6x4x4=288
An event has 8 adults and 12 children. The event planner wants to make each table identical, with the same combination of adults and children and no people left over. What is the greatest number of tables the planner can set up?
Answer:
Step-by-step explanation:
To make each table identical, we need to find the greatest common divisor (GCD) of 8 and 12, which will give us the maximum number of people that can be seated at each table.
We can find the GCD using the Euclidean algorithm:
12 = 8 × 1 + 4
8 = 4 × 2 + 0
Since the remainder is 0, the GCD of 8 and 12 is 4.
Therefore, the event planner can set up tables with 4 people at each table (2 adults and 2 children).
There are a total of 20 people (8 adults + 12 children), so the number of tables needed is:
20 ÷ 4 = 5
Thus, the greatest number of tables the planner can set up is 5.
1. Potatoes are on sale for $2.99 per bag, and you buy 5
bags. How much change would you get
back if you paid
with a $20 bill?
Answer:
5.05
Step-by-step explanation:
Five dollars and five cents because 2.99x5 = 14.95 then subtract that from 20 gives you the answer.
Can you please help me do this please?
Answer:
80
Step-by-step explanation:
First move like terms to one side:
x/2=25+15
Notice that the sign (+ or -) changes when we switch it to the opposite side
x/2=40
Multiply both sides by 2...
x=80
Answer:
x = 80
Step-by-step explanation:
\(\frac{x}{2}\) - 15 = 25 ( add 15 to both sides )
\(\frac{x}{2}\) = 40 ( multiply both sides by 2 to clear the fraction )
x = 40 × 2 = 80
Find any interval(s) on which the function f(x) = 4x³ - 51x² + 210x - 12 is concave downward _____
The function f(x) = 4x³ - 51x² + 210x - 12 is concave downward on the interval (4.462, ∞).
To determine the intervals on which the function is concave downward, we need to analyze the second derivative of the function. The second derivative provides information about the concavity of the function.
First, let's find the second derivative of f(x). Taking the derivative of f(x) with respect to x, we get:
f'(x) = 12x² - 102x + 210
Now, taking the derivative of f'(x), we find the second derivative:
f''(x) = 24x - 102
To find the intervals of concavity, we need to find where f''(x) < 0.
Setting f''(x) < 0 and solving for x, we have:
24x - 102 < 0
Simplifying the inequality, we find:
24x < 102
Dividing by 24, we obtain:
x < 4.25
Therefore, the function is concave downward for x values less than 4.25. However, we also need to consider the domain of the function. The function f(x) = 4x³ - 51x² + 210x - 12 is defined for all real numbers. Thus, the interval on which the function is concave downward is (4.25, ∞).
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PLZ HELP!! I will give points!
Answer:
a is -2,1 b is -3,3 c is -1,3
Step-by-step explanation:
I need help in those questions please
The other root of the given quadratic equation is a = ± 3/√2.
Given that, x=2 and x²+ax+12=0.
What are the roots of quadratic equations?The roots of a quadratic equation are the values of the variable that satisfy the equation. They are also known as the "solutions" or "zeros" of the quadratic equation.
Now, put x=2 in x²+ax+12=0 and find the value of a.
That is, 2²+2a+12=0
⇒4+12+2a=0
⇒16+2a=0
⇒2a=-16
⇒a=-8
So, the value of a is -8.
Put (0, 6) and (4, 6) in the function y=2x²+bx+c and find the value of b and c.
That is, 6=2(0)²+b(0)+c
⇒ c=6
6=2(4)²+b(4)+c
⇒ 6 = 32+4b+c
⇒ -26 = 4b + 6
⇒ 4b = -32
⇒ b = -8
So, the value of b is -8 and the value of c is 6.
Put x=a (root) in the equation 2x + x/a -9 = 0 and find the other root.
That is, 2a²+a/a -9 = 0
⇒ 2a² - 9 = 0
⇒ a²=9/2
⇒ a = ± 3/√2
Therefore, the other root of the given quadratic equation is a = ± 3/√2.
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which power of ten will you multiply by to convert meters to millimeters?
Answer:
multiply by 1,000
Step-by-step explanation:
since there are 1,000 millimeters per meter
Answer:
3 power
Step-by-step explanation:
If the serial number 1207 is a Tuesday, what day of the week would serial number 1210 be?
Monday
Tuesday
Friday
Saturday
What is the result of this formula in hours and minutes?
1:30
2:00
2:03
2:30
Which date will the formula =DATE(2017,7,2) return?
July 2, 2027
February 7, 2017
February 2, 2017
July 2, 2017
To find the difference between two dates listed in years instead of days, use the _____ function.
YEAR
DATE
EDATE
YEARFRAC
Which of these is FALSE regarding the Conditional Formatting Rules Manager?
It allows you to create, edit, and delete rules.
You can rearrange the order of rules after they’ve been created.
You can’t edit conditional rules, but you can delete them and then create new ones.
It allows you to view rules for a selection of cells or the entire worksheet.
The Difference column is calculated as budget minus actual amount. If the actual rent increases to 26,000, which conditional formatting graphics will change?
Actual
Budget
Both Actual and Budget
Both Actual and Difference
1. If the serial number 1207 is a Tuesday, the serial number 1210 would be on Friday.
2. The result of the formula "1:30" is 1 hour and 30 minutes.
3. The formula =DATE(2017,7,2) will return July 2, 2017.
4. To find the difference between two dates listed in years instead of days, use the YEARFRAC function.
5. The statement "You can’t edit conditional rules, but you can delete them and then create new ones" is FALSE regarding the Conditional Formatting Rules Manager.
6. If the actual rent increases to 26,000, both the Actual and Difference conditional formatting graphics will change.
1. By considering the days of the week in order, serial number 1210 would be on Friday, as it follows the pattern of consecutive days.
2. The formula "1:30" represents 1 hour and 30 minutes.
3. The formula =DATE(2017,7,2) specifies the date as July 2, 2017.
4. The function YEARFRAC is used to find the difference between two dates in years, taking into account fractional parts of a year.
5. The Conditional Formatting Rules Manager allows you to create, edit, and delete rules. You can edit conditional rules by selecting them and making the necessary changes.
6. If the actual rent increases to 26,000, both the Actual and Difference conditional formatting graphics will change, as the Difference column is calculated as budget minus actual amount, and any change in the actual rent would affect both values.
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Find the limit of the function by using direct substitution. limit as x approaches 0 of quantity x squared plus 4
Answer:
=4
Step-by-step explanation:
\(\lim _{x\to 0}\left(x^2+4\right)\\\mathrm{Plug\:in\:the\:value}\:x=0\\=0^2+4\\Simplify\\=4\)
Lt (X^2+4)
x-0
= 0^2+4
= 4
What are the limits of mathematics?
math, a limit is defined as a value that approximates the output of the specified input value of the function. Limits are important in calculus and mathematical analysis and are used to define integrals, derivatives, and continuity. In mathematics, the limit is the value that the function approaches when the input approaches a particular value.
Boundaries are essential for calculus and mathematical analysis and are used to define continuity, derivatives, and integrals. 1a: What separates, limits, or limits the age limit for junior golf. b: I pushed her body to the limit. 2a: Geographical or political boundaries. b Plural borders: Surrounded by borders: The border to the northern border they came from-John Milton.
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X = 4 + y
2x – 3y = 1
We know x = 4 + y (1)
So 2x - 3y = 1
<=> 2.(4 + y) - 3y = 1
<=> 8 + 2y - 3y = 1
<=> 8 - y = 1
<=> y = 8 - 1
<=> y = 7 (2)
move (2) to (1) : x = 7 + 4 = 11
ok done. Thank to me :>
Evaluate this expression: 39 -:- (2 + 1) -- 2 x (4 + 1).
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Do what's in the brackets first
39 ÷ (3) - 2*(5)
Now do the division and multiplication next.
13 - 10
Finally the subtraction.
3
2x^(3)-3x^(2)+5-3x^(2)+2x^(2)-4x-9
Answer:
2x^(3) - 4x^(2) - 4x - 4.
Step-by-step explanation:
2x^(3)-3x^(2)-3x^(2)+2x^(2)-4x-9
Bring like terms together:
= 2x^(3) - 3x^(2) - 3x^(2) + 2x^(2) - 4x + 5 - 9
Now simplify:
= 2x^(3) - 4x^(2) - 4x - 4.
Answer:
\(2x^3-4x^2-4x-4\)
Step-by-step explanation:
Subtract the numbers
\(2x^3-3x^2+5-3x^2+2x^2-4x-9\)
\(2^3-3^2-4-3^2+2^2-4\)
Combine like terms
\(2x^3-3x^2-4-3x^2+2x^2-4x\)
\(2^3-4^2-4-4\)
Rearrange terms
\(2x^3-4x^2-4-4x\)
\(2^3-4^2-4-4\)
Solution:
\(2x^3-4x^2-4x-4\)
Convert the following repeating consecutive decimals to fractions. For example, 0.499999... 1/2 (a) 0.7777... (b) -99.9999... (c) 0.09090909... (d) 0.123412341234..
0.123412341234... is equal to the fraction 1234/9999.
(a) To convert 0.7777... to a fraction, let x = 0.7777....
Then, multiplying both sides by 10, we get:
10x = 7.7777...
Subtracting the left-hand sides and the right-hand sides of these two equations, we get:
10x - x = 7.7777... - 0.7777...
Simplifying, we get:
9x = 7
Dividing both sides by 9, we get:
x = 7/9
Therefore, 0.7777... is equal to the fraction 7/9.
(b) To convert -99.9999... to a fraction, let x = -99.9999....
Then, multiplying both sides by -1, we get:
-x = 99.9999...
Dividing both sides by 100, we get:
-x/100 = 0.999999...
Since the decimal 0.999999... is equal to 1, we can rewrite the equation as:
-x/100 = 1
Multiplying both sides by -100, we get:
x = -100
Therefore, -99.9999... is equal to the fraction -100.
(c) To convert 0.09090909... to a fraction, let x = 0.09090909....
Then, multiplying both sides by 100, we get:
100x = 9.090909...
Subtracting the left-hand sides and the right-hand sides of these two equations, we get:
100x - x = 9.090909... - 0.090909...
Simplifying, we get:
99x = 9
Dividing both sides by 99, we get:
x = 1/11
Therefore, 0.09090909... is equal to the fraction 1/11.
(d) To convert 0.123412341234... to a fraction, let x = 0.123412341234....
Then, multiplying both sides by 10000, we get:
10000x = 1234.12341234...
Subtracting the left-hand sides and the right-hand sides of these two equations, we get:
10000x - x = 1234.12341234... - 0.12341234...
Simplifying, we get:
9999x = 1234
Dividing both sides by 9999, we get:
x = 1234/9999
Therefore, 0.123412341234... is equal to the fraction 1234/9999.
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Look at the image shown.
H-H
What does this image represent?
a
Linear molecule with one domain
Linear molecule with two domains
Tetrahedral molecule with four domains
Trigonal planar molecule with three domains
Answer: salamibrain
Step-by-step explanation: hey guys it's salamibrain
The image has been consisted of the linear molecule with two domains. Thus, option B is correct.
The given image has been the structure of the carbon dioxide. There has been the two oxygen atoms that has been linked with the central carbon atom.
The molecules have been consisted of equal number of valence electrons, thus the structure has been causing lesser extent of the distortion. The symmetrical structure has been consisted with the linear symmetry.
Thus, the image has been consisted of the linear molecule with two domains. Thus, option B is correct.
(I did not make this answer so all credit goes to the one who made it)
MATH PLSSSS HELPPP WITH PROBLEMS BRAINLIESTTT AND POINTSSS
Answer:
(x-4)²
Step-by-step explanation:
(x-4)²
(x-4)(x-4)
x(x-4)-4(x-4)
x²-4x-4x+16
x²-8x+16
The law of large numbers states that as the number of observations drawn at random from a population with finite mean μ increases, the mean of the observed values.
The mean of a observed values approaches the population mean more and more as the number of data points gathered rises.
Define the term population mean?The average calculated from the group members, distribution, or population is known as the population mean.
It is calculated by dividing the sum of all different variables through the total population of variables. The population mean is shown here as. The population's observations are added together to form X. There are 2 distinct averages in statistics: Only a few observations—selected from the population data—are taken into account for calculating the sample mean. On the other hand, the population mean computes the average value by taking into account all of the population's observations.Thus, choose a population with a finite mean and a random sample of observations. The mean of a observed values approaches the population mean to a greater extent as the number of data gathered rises.
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A group of 12 people are going out to a concert on Saturday night. The group will take three cars with four people in each car. If they distribute themselves at random, what is the probability that A and B will be in the same car
The probability that A and B are in the same car is 1/1050.
If a group of 12 people is going to a concert on a Saturday night, and the group is taking three cars, each with four people, there is a possibility that the person A and B may be in the same car.
To determine the probability that A and B are in the same car, we need to determine how many ways the group of 12 people can be distributed among the three cars.
Since there are three cars, there are three different possibilities for where A and B can be located, i.e., in Car 1, Car 2, or Car 3.
There are three possible cars for A and B, and there are 2 people left to distribute among the other cars.
There are 10 ways to choose two people from the remaining 10, which means that there are 10 ways to place A and B into the same car.
After A and B have been placed in a car, the remaining 10 people can be placed in the other two cars.
The number of ways to distribute the 10 people into two cars with four and six people respectively is the same as the number of ways to choose four people from the 10 to be in the first car, or:10!/(4!6!) = 210.
Therefore, there are a total of 3 * 10 * 210 = 6300 different ways to distribute the group among the three cars.
Since there are 3 cars and 4 people in each car, there are a total of 3 * 2 * 1 = 6 ways to choose two people in the same car.
The probability that A and B are in the same car is therefore: P(A and B in same car) = 6/6300 = 1/1050.
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Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base
diameter and height are always the same. How fast is the height of the pile increasing when the pile is 14 feet high? Recall that the volume of a
right circular cone with height h and radius of the base r is given by V=pi/3 r²h.
Your answer: ______
feet per minute.
Answer:
The height of the pile is increasing at a rate of 16.72 feet per minute. To solve this problem, we need to use the volume formula for a right circular cone: V=pi/3 r²h. We know that the volume is 20 cubic feet per minute, the height is 14 feet and the radius of the base is 14 feet. So we can calculate the rate of change of the height by rearranging the formula to give v/(pi/3r²). So for our example, v/(pi/3*14²)=20/(pi/3*14²)=20/(3.14*196)=20/613.44=16.72 feet per minute.
Of the 400 employees. 5% of them are park managers. How many managers does the park employee?
Answer:
16 managers
Step-by-step explanation:
Here, we want to calculate the numbered managers at the park
From the question, 4% of the 400 are managers
Thus;
4/100 * 400 are managers
= 1600/100 = 16
how to determine mean and standard deviation from a histogram in matlab
To determine the mean and standard deviation from a histogram in MATLAB, you can use hist" function then "the mean" function then std" function.
1. Use the "hist" function to create the histogram.
2. Use the "mean" function to calculate the mean of the data.
3. Use the "std" function to calculate the standard deviation of the data.
1. Use the "hist" function to create the histogram. For example, "hist(x)" will create a histogram of the data in the vector "x".
2. Use the "mean" function to calculate the mean of the data. For example, "mean(x)" will return the mean of the data in the vector "x".
3. Use the "std" function to calculate the standard deviation of the data. For example, "std(x)" will return the standard deviation of the data in the vector "x".
So, if you have a vector "x" containing the data you want to analyze, you can use the following code to determine the mean and standard deviation:
hist(x);
mean_x = mean(x);
std_x = std(x);
This will create a histogram of the data, and calculate the mean and standard deviation. You can then use these values to further analyze the data.
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Evaluate the expression when x = - 1/5 and y = 3/4
1: 4x + y
2: -| x | + y
Answer:
(3/4)+(4x+y)=0
(l x l + y) b
a bridge hand consists of 13 cards dealt at random from the deck of 52. the probability that a bridge hand will have exactly 2 queens is:
The probability that a bridge hand will have exactly 2 queens is 0.45%.
To find the probability of getting a bridge hand with exactly 2 queens, we need to use the binomial probability formula. The formula is:
P(exactly k successes) = (n choose k) * p^k * (1-p)^(n-k)
Where:
n is the total number of trials
k is the number of successes in the trials
p is the probability of success in a single trial
In this case, the total number of trials is 13 (since a bridge hand consists of 13 cards), and the number of successes we want is 2 (since we want exactly 2 queens). The probability of success in a single trial is the probability of drawing a queen, which is 4/52 (since there are 4 queens in a deck of 52 cards).
Plugging these values into the formula, we get:
P(exactly 2 queens) = (13 choose 2) * (4/52)² * (48/52)¹¹
= (78) * (1/169) * (4/13)¹¹
= (4/169) * (4/13)¹¹
This simplifies to:
P(exactly 2 queens) = (4/169) * (4/13)¹¹
= (4/169) * (4/169)¹¹
= (4/169)¹²
The final probability is approximately 0.0045 or 0.45%. This means that the probability of getting a bridge hand with exactly 2 queens is quite low.
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what is 3X^2 × 2X^3
Answer:
Step-by-step explanation:
3x^2 * 2x^3= 6x^5
Multiply the 3 and 2 to get 6. Add the exponents.
plzzzzzzzzzzzz help
Answer:
58
Step-by-step explanation:
Total area = 7 × 10 - 6 × 2 = 70 - 12 = 58 units²
Find the area of a regular octagon with an apothem of 2 cm.
The area of a regular octagon with an apothem of 2 cm is 3cm ^2.
The area of a regular octagon with an apothem of 2 cm.
Given the apothem length,
What is the area of the regular polygon?the area of a regular polygon becomes,
\(A=\frac{1}{2}\times P\times A\)
P= the perimeter of the regular polygon
A is the apothem of the regular polygon
Here, we get
p=2=2cm, a=3cm.
So, plugging in the given values, we get
\(A=\frac{1}{2} \times 2cm\times 3cm\)
A=1cm⋅3cm
A=3cm^2
Therefore the area of a regular octagon with an apothem of 2 cm is 3cm ^2.
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