Answer:
no
Step-by-step explanation:
by adding 2 to 200 we essentially start with multiples of 6, from there we can do 202/6 to check if 200 is a term in the sequence.
Step-by-step explanation:
We will use the general formula of Arithmetic Progression, I.e., an = a + (n - 1)d, where,
a = first terman = last termd = common differencen = total terms in the A.P.In this question, we assume that let the last term be 200.
If the value of n comes in whole number, 200 is a term and if it comes in decimal/fraction, then 200 is not the term.
Rest is in attachment.
Hope it helps :)
Use a number line to find eac
13
5-(-8)
The number line shows the value of 5 - (-8) = 13.
What is a number line?A number line is a pictorial representation of integers on a straight line.This helps in performing many arithmetic operations.It consists of '0' in the middle i.e., zero is neither a positive nor a negative integer and it is taken as a reference point.It consists of positive integers(greater than zero) on the right side of '0'.It consists of negative integers(less than zero) on the left side of '0'.How to represent arithmetic operations on a number line?Addition:
If the addend is positive then move to the right side on the number lineIf the addend is negative then move to the left side on the number line.Subtraction:
If the subtrahend is positive then move to the left side on the number lineIf the subtrahend is negative then move to the right side on the number line.Representing the subtraction 5 - (-8) on a number line:Here the given operation is subtraction. Where a subtrahend is a negative number i.e., -8.
Step1: Start from '5' on the number line.
Step2: Since the subtrahend is a negative number, move to the right side on the number line from '5'.
Step3: Thus, the number obtained on the line is 13.
Step4: Algebraically the result is 5 - (-8) = 5 + 8 = 13.
The number line for this operation is shown below.
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Your making chocolate chip cookies. The recipe calls for 1/8 teaspoon salt to 1/4 teaspoon baking soda. How much salt is needed for one teaspoon of baking soda
Answer:
1/2 teaspoon salt
Step-by-step explanation:
We can make this into a ratio of salt:baking soda
1/8:1/4
now, how many 1/4 will we need to make 1?
If we multiply 1/4 by 4, we get one. So, we should do the same to 1/8!
1/8*2=4/8, or 1/2 teaspoon
what is the answer to 9 -4/5 x 10 -7/9
Answer:
its an limit number
Step-by-step explanation:
you can do it because its a limit number so this in't real
Classified ads in a newspaper offered for sale 20 used cars of the same make and model. The output of a regression analysis is given. Assume all conditions for regression have been satisfied. Create a 95% confidence interval for the slope of the regression line and explain what your interval means in context. Find the 95% confldence interval for the slope. The confidence interval is (Round to two decimal places as needed.)
Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.
This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.
The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.
Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].
It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].
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Help If don't know do not answer(if link will report)
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsGeometry
Supplementary Angles: Angles that add up to 180°Step-by-step explanation:
Step 1: Define
We can see from the diagram that the 2 angles are supplementary
(6x - 10)° + (7x + 8)° = 180°
Step 2: Solve for x
Combine like terms: 13x - 2 = 180[Addition Property of Equality] Add 2 on both sides: 13x = 182[Division Property of Equality] Divide 13 on both sides: x = 14What is the distributive property of 55+66
Answer:
Step-by-step explanation:
-11
I just need the answer my battery is low
Answer:
C
Step-by-step explanation:
That's your answer.
....
The perimeter of a square is 20 ft. If you increase the length square by 2 feet and decrease the width by 1 foot, what is tb area, in square feet, of the new figure
Answer:
Tue area of the new figure is 28ft
Step-by-step explanation:
Each side 20/4=5
The length 5+2=7
The width 5-1=4
The area 7x4=28
Find the value of : 0.678 multiplied by 9.01/0.0234
Answer:
261.06 (Approx)
Step-by-step explanation:
Given:
Two number = 0.678,9.01/0.0234
Find:
Multiply
Computation:
⇒ 0.678,9.01/0.0234
⇒ 0.678 x [9.01/0.0234]
⇒ 6.10878 / 0.0234
⇒ 261.058874
261.06 (Approx)
Deside whether g(x) = 2x^3 - 7x^2 - 3x^-1
a rectangle is divided into 4 equal rows. there are 4 squares in each row. Leah says 1 square is 1/4 of the whole rectangle. is Leah correct
Answer: Yes Leah Is Correct.
Step-by-step explanation: Leah is correct because if you have a rectangle divided into 4 parts than if you will be asked how much parts will you need to make this fraction a whole you’ll say 4 since if you say for example six you will be wrong since six is too much so if you shade one part in than it’s 1/4 ths now let’s say you shaded in 3/4th you will see 3 shaded and one more left not shaded in which gives the fraction the name 3/4.
hope this made sense.
What is the right answer? Please tell me, I need it urgently.
Answer:
2388.16 cubic inches
Step-by-step explanation:
Cylinder: 452.16
Rectangular prism: 1936
Which expressions are equivalent to this exponential expression?.
The expression is equivalent to \(5^2\).
Given
Expression; \(\rm \dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}\)
Exponential expression;The definition of exponential form is a way of writing a number that is multiplied by itself more than once.
To solve the exponential equation follow all the steps given below.
Therefore,
The expression is equivalent to;
\(\rm =\dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6+4}}{5^{-4}}\\\\=\rm \dfrac{5^{-2}}{5^{-4}}\\\\=5^{-2+4}\\\\=5^2\)
Hence, the expression is equivalent to \(5^2\).
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What is the product of (-a + 3)(a + 4)?
Answer:
-a^2-a+12
Step-by-step explanation:
(-a+3)(a+4)
-a^2-4a+3a+12
-a^2-a+12
how i do this i dont really know how to do this.
Answer:
-1 | 1 4 4
Step-by-step explanation:
Changing to the root format x- k where k is the root
(x^2+4x+4) / (x- -1)
the outside is -1 and the inside is the coefficients of the terms
-1 | 1 4 4
Over the last 80 years, the average annual U. S. Inflation rate was about
a. 3. 6 percent, implying that prices have increased 16-fold.
b. 4 percent, implying that prices have increased 17-fold.
c. 4 percent, implying that prices have increased 16-fold.
d. 3. 6 percent, implying that prices increased about 17-fold
The correct option is C, Prices have increased about 16-fold over the last 80 years, assuming an average annual U.S. inflation rate of 4 percent.
The inflation rate is a measure of the rate at which the general level of prices for goods and services is rising over a period of time, usually a year. It is typically expressed as a percentage increase or decrease in the average price level of a basket of goods and services over a certain period of time.
Here, the price index is a weighted average of the prices of a specific set of goods and services. The inflation rate is a key indicator of the overall health of an economy, as high inflation can erode purchasing power and reduce the standard of living for individuals, while low or negative inflation can lead to economic stagnation or deflation. Governments and central banks closely monitor inflation rates to ensure that they remain within a targeted range, typically around 2-3% per year, through the use of monetary and fiscal policies.
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Consider this equation: 9x - 7 - 3x + 9 = x + 7 + 5x + 9. How many solutions does this equation have?
Step-by-step explanation:
9x - 7 - 3x + 9 = x + 7 + 5x + 9
6x + 2 = 6x + 16
2 = 16
Since 2 = 16 is false, there exist no real solutions for x.
Final Answer: No Solution. The equation would have 0 solutions.
Steps/Explanations:
Hey there! The answer is No Solution because -7 = 7. If 7 = 7, then it would be true and have one solution, which is not the case here.
Step 1: You should cancel \(9\) on both sides.
\(9x - 7 - 3x = x + 7 + 5x\)
Step 2: Simplify \(9x - 7 - 3x\) to \(6x - 7\).
\(6x - 7 = x + 7 + 5x\)
Step 3: Simplify \(x + 7 + 5x\) to \(6x + 7\).
\(6x - 7 = 6x + 7\)
Step 4: You'll need to cancel \(6x\) on both sides.
\(- 7 = 7\)
Step 5: Since \(-7 = 7\) is false, there would be no solution.
No Solution
~I hope I helped you :)~
a phone is on sale for 15% off the original price.part B. let p represent the original price of the phone. sales tax is 6%. using only one term, write an expression to represent the discounted price of the phone including tax.
Answer:
T = O -15%+6%
Step-by-step explanation:
T could be the total.
That means T = O -15%+6%
Hope this helps...
Can you help me answer my question if possible.
You are a district sales manager at the sales target for your team135,000 per month ?
You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.
To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):
Annual sales target = Monthly sales target x 12
Given that the monthly sales target for your team is $135,000, the annual sales target would be:
Annual sales target = $135,000 x 12
= $1,620,000
A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.
Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.
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Complete Question:-
You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?
Each one of the following is an attempted proof of the statement For every integer n, there is an odd number k such that n < k < n+3. Only one of the proofs is correct. Match each proof with a correct analysis of its merits. Let the integer n be given. If n is even, let k be n+1. If n is odd, let k be n+2. Either way, k is odd and n < k < n+3. That proves that for any integer n, an odd k such that n < k < n+3 exists. Let n be given. Then k = 2n+1 is odd by definition, and greater than n. Since also k < n+3, we have shown the existence of an odd k between n and n+3 for all n. Given the integer n, pick k - n + 2. Then n < k < k+3. Thus, for every integer n, an odd k with n < k < n+3 exists. Let the odd integer k be given. Pick n = k-1. Then n < k < n+3. We have shown that for every integer n, an odd integer k with n < k < n+3 exists.
A. The proof is correct. By starting with the assumption that n is an arbitrary integer, it sets up universal generalization. Then it makes a case distinction, so that no matter whether n is even or odd, k comes out to be odd, and between n and n+3. By universal generalization, that proves that such k exists for all integers n.
B. This proof shows that for every odd k, an integer n with n < k < n+3 exists, which is a different statement than what was supposed to be proved, and not logically equivalent.
C. The proof starts with the proper assumption but constructs the wrong k. While the k is between n and n+3, it may not be odd. The k chosen Is even when n is even.
D. The proof starts with the proper assumption, but then constructs the wrong k. 2n+1 while odd, is generally not between n and n+3.
A. The proof is correct. By starting with the assumption that n is an arbitrary integer, it sets up universal generalization. Then it makes a case distinction, so that no matter whether n is even or odd, k comes out to be odd, and between n and n+3. By universal generalization, that proves that such k exists for all integers n. is the correct option.
Each of the following proofs is an attempt to prove the statement "For every integer n, there is an odd number k such that n < k < n + 3." Only one of the proofs is correct. The correct analysis of each proof's merits is as follows:A. The proof is correct. By starting with the assumption that n is an arbitrary integer, it sets up universal generalization. Then it makes a case distinction, so that no matter whether n is even or odd, k comes out to be odd, and between n and n+3. By universal generalization, that proves that such k exists for all integers n.B.
This proof shows that for every odd k, an integer n with n < k < n+3 exists, which is a different statement than what was supposed to be proved, and not logically equivalent. C. The proof starts with the proper assumption but constructs the wrong k. While the k is between n and n+3, it may not be odd. The k chosen is even when n is even.D. The proof starts with the proper assumption, but then constructs the wrong k. 2n+1 while odd, is generally not between n and n+3.Long answer: For every integer n, there is an odd number k such that n < k < n + 3 is the statement that is given in the question.
Now, the proofs are as follows:
Proof 1: Let the integer n be given. If n is even, let k be n + 1. If n is odd, let k be n + 2. Either way, k is odd and n < k < n + 3. That proves that for any integer n, an odd k such that n < k < n + 3 exists. This proof is correct. By starting with the assumption that n is an arbitrary integer, it sets up universal generalization. Then it makes a case distinction, so that no matter whether n is even or odd, k comes out to be odd, and between n and n+3. By universal generalization, that proves that such k exists for all integers n.
Proof 2: Given the integer n, pick k - n + 2. Then n < k < k + 3. Thus, for every integer n, an odd k with n < k < n + 3 exists. This proof shows that for every odd k, an integer n with n < k < n + 3 exists, which is a different statement than what was supposed to be proved, and not logically equivalent.
Proof 3: Let n be given. Then k = 2n + 1 is odd by definition, and greater than n. Since also k < n + 3, we have shown the existence of an odd k between n and n + 3 for all n. This proof starts with the proper assumption but constructs the wrong k. 2n+1 while odd, is generally not between n and n+3.
Proof 4: Let the odd integer k be given. Pick n = k - 1. Then n < k < n + 3. We have shown that for every integer n, an odd integer k with n < k < n + 3 exists. This proof starts with the proper assumption, but then constructs the wrong k. It does not specify that k is between n and n+3.
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HELP PLEASE PLEASE PLEASE
1. A lawncare worker charges $45 per hour of work.
additional fee of $20 for equipment transportation.
A. Write an equation in slope-intercept form for this
situation
B. Il your total bill was S155, how long did the worker fix
your yard?
C. If the lawncare worker works a full 8-hour shift, how
much does he make
A marine biologist randomly selected and placed radio tracking devices on 50 dolphins swimming in the Gulf of Mexico in 2020. He released the dolphins back into the population. A year later he caught 200 dolphins and found that 20 of them had tracking devices on them. What is the best estimate of the population of dolphins swimming in the Gulf of Mexico?
Answer:
Step-by-step explanation:
"The capture-recapture of individually distinctive signature whistles has not been attempted before," says the paper's senior author Dr Tess Gridley, Co-Director of Sea Search and the Namibian Dolphin Project and a postdoctoral fellow in the Department of Botany and Zoology at SU. "The dolphins use these sounds throughout life and each has its own unique whistle. Therefore, by recording signature whistles over time and in different places we can calculate where animals are moving to and how many animals there are in a population."
Working with Dr Simon Elwen of Stellenbosch University, the Namibian Dolphin Project has been researching Namibia's resident bottlenose dolphins for the past 12 years, and built up a catalogue of more than 55 signature whistles dating back to 2009.
This particular study was led by Emma Longden, who began the project during her BSc (Hons) Marine Biology degree at the University of Plymouth. As an undergraduate, Emma completed an internship with the Namibia Dolphin Project for a month in 2016, and returned again in 2018 to complete work on the mark-recapture project.
She analysed more than 4000 hours of acoustic data from four hydrophones positioned along the coast south and north of Walvis Bay, Namibia, during the first six months of 2016.
All in all, they identified 204 acoustic encounters, 50 of which contained signature whistle types. From these encounters, 53 signature whistle types were identified; 40 were in an existing catalogue developed in 2014 for the Walvis Bay bottlenose dolphin population, and 13 were newly identified. Of the 53 signature whistle types identified, 43% were captured only once, whereas the majority (57%) were recaptured twice or more.
"One of the great things about bioacoustics is that you can leave a hydrophone in the water for weeks at a time and collect so much data without interfering with the lives of the animals you are studying," says Emma, whose work on the project was also supervised by Dr Clare Embling, Associate Professor of Marine Ecology at the University of Plymouth.
Dr Embling added: "This work is incredibly important as it allows us to track and count the number of dolphins in small vulnerable populations. It builds on our previous research looking at the impacts of noise on marine organisms and monitoring vulnerable marine mammal populations. It also showcases the fantastic level of research that our marine biology students are able to achieve, and the opportunities available to them through our partnerships with conservation organisations such as the Namibia Dolphin Project and the Ocean Giants Trust."
Future research includes the work undertaken by PhD student Sasha Dines from Stellenbosch University to further refine the technique to better understand the population of endangered humpback dolphins in South Africa. Another PhD student, Jack Fearey from the University of Cape Town, is continuing to conduct research along the Namibian Coast.
Y = – (x – 5)2 + 3
y = –3(x – 6)2 + x + 1
To make sure the flip is in unison, after how many seconds should the flip occur?
The flip should tur after 2.4 scon
How to find the point of intersection of two linesGiven the following functions expressed as:
\(Y = - (x - 5)^2 + 3 \\y = -3(x - 6)^2 + x + 1\)
Equating both expression will give
-(x-5)² + 3 = -3(x-6)² + x + 1
-(x-5)² +3(x-6)² + 3 - x - 1 = 0
-(x-5)² +3(x-6)² + 2 - x = 0
-(x² - 10x + 25) + 3(x²-12x + 36) + 2 - x = 0
x² + 10x - 25 + 3x² +36x + 108 + 2 - x = 0
4x² + 45x + 85 = 0
Factorize for the value of x
On factorizing, the value of x is 2.405
Hence the flip should tur after 2.4 sconds
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which of the following statements is not always true? a 95% confidence interval may include the hypothesized value under the null hypothesis that is rejected at 95%. a 99% confidence interval may include the hypothesized value under the null hypothesis that is rejected at 99%. a 99% confidence interval may include the hypothesized value under the null hypothesis that is rejected at 95%. a 95% confidence interval may include the hypothesized value under the null hypothesis that is rejected at 99%.
The following statements is not always true is that a 95% confidence interval may include the hypothesized value under the null hypothesis that is rejected at 99% option D.
Assuming a given standard deviation, it is described as the sampling distribution that follows a roughly normal distribution. estimating the population standard deviation's confidence interval:
We are aware that significance level = confidence level - 1.
Given this, a null hypothesis can only be ruled out at a 5% level of significance.
A null hypothesis cannot be ruled out at the 5% level of significance unless the parameter's hypothesis value is contained within a 95% confidence range.
If the anticipated value is included in the 95% confidence interval, a hypothesis test at the 0.05 level will almost never succeed in rejecting the null hypothesis.
So, a null hypothesis can only be disproved at the 5% level of significance if and only if a 95% confidence interval contains the parameter's postulated value.
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If g(x)=3(x+3)^2-2, which statement is true?
Answer: B
Step-by-step explanation:
I suppose that f(x) is the curves drawn in red
Minimum f(x)=-8 (for x=-3)
Minimum g(x) =-2 (for x=-3)
Minimum g(x) > minimum f(x)
Answer B
Consider the following table: Female Male Total Republican 105 115 220 Democrat 150 103 253 Independent 150 179 329 Total 405 397 802 What is the probability a voter is either female or Democrat?
The probability that a voter is either female or Democrat is 0.64 or 64%.
To calculate the probability, we need to determine the number of individuals who are either female or Democrat and divide it by the total number of voters.
From the table, we can see that there are 405 females and 253 Democrats. However, we need to be careful not to double-count the individuals who fall into both categories.
To find the number of individuals who are either female or Democrat, we add the number of females (405) and the number of Democrats (253), and then subtract the number of individuals who are both female and Democrat (150).
So, the number of individuals who are either female or Democrat is 405 + 253 - 150 = 508.
Now, we divide this number by the total number of voters, which is 802, to get the probability: 508 / 802 ≈ 0.64 or 64%.
Therefore, the probability that a voter is either female or Democrat is approximately 0.64 or 64%.
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a computer company hired interns from a group of 234 applicants. the table shows the numbers of applicants who were or were not computer science majors, and the numbers of applicants who were or were not hired. match the probabilites with the description. column a 1. what is the probability that the intern had a computer science major and did not get hired.: what is the probability that the intern had a computer science major and did not get hired. 2. what is the probability that the intern had a major other than computer science?: what is the probability that the intern had a major other than computer science? 3. what is the probability that a computer science major was hired?: what is the probability that a computer science major was hired? 4. what is the probability that an intern with a major other than computer science was not hired?: what is the probability that an intern with a major other than computer science was not hired? column b a.conditional - 36.2% b.conditional - 48.6% c.joint - 43.6% d.joint - 51.2% e.marginal - 68.3% f.marginal - 31.6%
For computer company hired interns from a group of 234 applicants.
a) Probability that intern had a computer science major and did not get hired is \( \frac{112}{234} \)
b) Probability that interns had a major other than computer science is \( \frac{38}{234} \)
c) Probability that interns had a computer science and get hired = \( \frac{58}{234} \).
4) probability that an intern with a major other than computer science was not hired is \( \frac{38}{234}\).
Probability is defined as the chance of occurrence of an event. It is calculated by the ratio of favourable outcomes to the total possible outcomes. We have a table data of computer company that hired interns. Total number of applicants = 234
the table shows data of the numbers of applicants who were or were not computer science majors, and the numbers of applicants who were or were not hired. Number of outcomes for an intern had a computer science major and did not get hired = 112
1) Probability that intern had a computer science major and did not get hired = \( \frac{112}{234} \).
2) Number of interns had a major other than computer science = 38
Probability that interns had a major other than computer science = \( \frac{38}{234} \).
3) Number of interns had a computer science major and hired = 58
Probability that interns had a computer science and get hired = \( \frac{58}{234} \).
4) Number of interns had a major other than computer science was not hired
= 38
Probability that an intern with a major other than computer science was not hired = \( \frac{38}{234} \). Hence, required value is \( \frac{38}{234} \).
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Complete question:
a computer company hired interns from a group of 234 applicants. the table shows the numbers of applicants who were or were not computer science majors, and the numbers of applicants who were or were not hired. match the probabilites with the description. column a 1. what is the probability that the intern had a computer science major and did not get hired.
2. what is the probability that the intern had a major other than computer science?
3. what is the probability that a computer science major was hired?
4. what is the probability that an intern with a major other than computer science was not hired
column b a.conditional - 36.2% b.conditional - 48.6% c.joint - 43.6% d.joint - 51.2% e.marginal - 68.3% f.marginal - 31.6%.
Select the correct answer. What is the sum of the measures of the interior angles formed by the boundary of this team pennant? A. 360° B. 120° C. 180° D. 100°
As the shape of the pennant (See Picture) is a Triangle, the sum of the measures of the interior angles formed by the boundary of this team pennant will be 180°. So, option B is correct.
Among other things, triangles have the following angular characteristics:
The sum of the three interior angles of a triangle is always 180°.A triangle's exterior angles are equal in size to its farthest inside angles.Interior angles in an equilateral triangle are each 60° long.The sum of the two non-adjacent inner angle measurements of a triangle's outer angle is a constant.In a right triangle, two of the angles are sharp and one of them is 90° (less than 90°).To know m ore about triangles
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The complete question is:
What is the sum of the measures of the interior angles formed by the boundary of this team pennant(See Picture)?
A. 360°
B. 120°
C. 180°
D. 100°
9. A Black sociologist named Erica wants to determine the amount of sundown towns in a circle
for a study she is doing on Black American diasporic patterns. She wants the circle's center to
lie at the Black Township of Lyles Station, IN (point L) and have a point at the Black township
of Maryville, SC (point M).
A. Determine the radius of the circle.
B. Determine the equation of the circle.
C. Graph the circle on the coordinate plane.
D. Determine algebraically whether Mize, MS should be included in the study.
A. Erica must find the distance between the two townships of Lyles Station in Indiana and Maryville in South Carolina in order to calculate the circle's radius.
B. Using the coordinates of the center (Lyles Station) and the radius, Erica may calculate the equation of the circle once she has knowledge of its radius. A circle's general equation is (x - h)² + (y - k)² = r²
C. To graph the circle on the coordinate plane, Erica can plot the center (Lyles Station) and draw a circle with the calculated radius around it.
D. Erica can check if the coordinates of Mize lie within the circle. She can use the equation of the circle and substitute the coordinates of Mize into the equation. If the equation holds true, Mize is inside the circle and should be included in the study; otherwise, it lies outside the circle.
How to determine the valuesWe need to know that the formula for calculating radius is expressed as;
The general equation for a circle is (x - h)² + (y - k)² = r²
Such that the parameters of the formula are expressed as;
(h, k) represents the center of the circle r represents the radiusLearn more about radius at: https://brainly.com/question/24375372
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PLS HELP 9,10,11!!! ASAP
Answer:
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