South Shore Construction builds permanent docks and seawalls along the southern shore of Long Island, New York. Although the firm has been in business only five years, revenue has increased from $359,000 in the first year of operation to $1,343,000 in the most recent year. The following data show the quarterly sales revenue in thousands of dollars:


Quarter Year 1 Year 2 Year 3 Year 4 Year 5

1 20 37 75 92 176

2 100 136 155 202 282

3 175 245 326 384 445

4 13 26 48 82 181


Required:

Based upon seasonal effects in the data and linear trend, what are the intercept and coefficient for the time component in the regression equation?

Answers

Answer 1

The intercept for the time component is found to be  24.6, and the coefficient for the time component is  51.3.

How do we calculate?

we can use linear regression analysis to find the intercept:

Suppose we have 4 quarters as 1, 2 , 3 and 4 :

For the first year: (20 + 100 + 175 + 13) / 4 = 77

For the second year: : (37 + 136 + 245 + 26) / 4 = 111

For the third year: (75 + 155 + 326 + 48) / 4 = 151

For the fourth Year: (92 + 202 + 384 + 82) / 4 = 190

For the fifth Year : (176 + 282 + 445 + 181) / 4 = 271

Applying the formula for linear regression, we will have:

y = a + bx

y = average quarterly revenue

x =  year,

a =  intercept

b=  coefficient for the time component

We then use the years (1, 2, 3, 4, 5) as x and the average quarterly revenues (77, 111, 151, 190, 271) as y.

Substituting into the regression equation, we have:

a =  24.6

b = 51.3

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Related Questions

100bbl/ day of oil is flowing in a 2 inch inner diameter wellbore with pipe relative roughness of 0.001. The oil has density of 48lbm/ft 3 and viscosity of 1.8cp. The wellbore is deviated 15 degrees from horizontal flow and has length of 6,000ft. The bottom hole flowing wellbore pressure is 2,200psi.
a) Obtain the potential pressure drop in the wellbore (psi).
b) Determine the frictional pressure drop in the wellbore (psi).
c) If there is also gas flowing in the wellbore at 150ft 3 / day covering 20% of the total pipe volume, calculate the in-situ oil velocity (ft/s).
d) For case (c), determine the flow regime of the two-phase flow.

Answers

a) To obtain the potential pressure drop in the wellbore, we can use the hydrostatic pressure equation.

The potential pressure drop is equal to the pressure gradient multiplied by the length of the wellbore. The pressure gradient can be calculated using the equation: Pressure gradient = (density of oil × acceleration due to gravity) × sin(θ), where θ is the deviation angle of the wellbore from horizontal flow. In this case, the pressure gradient would be (48 lbm/ft^3 × 32.2 ft/s^2) × sin(15°). Multiplying the pressure gradient by the wellbore length of 6,000 ft gives the potential pressure drop.

b) To determine the frictional pressure drop in the wellbore, we can use the Darcy-Weisbach equation. The Darcy-Weisbach equation states that the pressure drop is equal to the friction factor multiplied by the pipe length, density, squared velocity, and divided by the pipe diameter. However, to calculate the friction factor, we need the Reynolds number. The Reynolds number can be calculated as (density × velocity × diameter) divided by the oil viscosity. Once the Reynolds number is known, the friction factor can be determined. Finally, using the friction factor, we can calculate the frictional pressure drop.

c) To calculate the in-situ oil velocity, we need to consider the total volume of the pipe, including both oil and gas. The total pipe volume is calculated as the pipe cross-sectional area multiplied by the wellbore length. Subtracting the gas volume from the total volume gives the oil volume. Dividing the oil volume by the total time taken by the oil to flow through the pipe (converted to seconds) gives the average oil velocity.

d) The flow regime of the two-phase flow can be determined based on the oil and gas mixture properties and flow conditions. Common flow regimes include bubble flow, slug flow, annular flow, and mist flow. These regimes are characterized by different distribution and interaction of the oil and gas phases. To determine the specific flow regime, various parameters such as gas and liquid velocities, mixture density, viscosity, and surface tension need to be considered. Additional information would be required to accurately determine the flow regime in this scenario.

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based on the graph what was the initial amount in milllions of bacteria lake

Answers

Based on the graph representing the amount of bacteria in millions with respect to the number of days, the initial amount in millions of bacteria lake is 11 millions.

What is the significance of a graph?

A graph is a visual representation of data that is used to show the relationship between different variables or data points. The significance of a graph is that it allows us to quickly and easily understand complex data and identify patterns, trends, and relationships that might not be apparent from just looking at a table of numbers. Graphs are particularly useful for presenting data in a clear and concise manner, making it easier to communicate information to others. They can also help to highlight important trends and patterns in data, allowing us to make more informed decisions based on the information that is presented.

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based on the graph what was the initial amount in milllions of bacteria lake

-2/3d-1/4d=22 pls help will give brainiest

Answers

Answer:

-24

Step-by-step explanation:

-2/3d-1/4d=22

-d(2/3+1/4)=22

-d((8+3)/12)=22

-d*11/12=22

d=-22*12/11

d=-2*12

d=-24

help plz
Jinni opened a bank account. She deposited $87.60 into her account every month for 10 months. She used $25.60 every month to pay for music classes. After 10 months, she used 1 over 4 of the total money left in her account to go to a summer camp for musicians. What is the total amount of money Jinni spent to go to the summer camp?

$64.00
$88.00
$155.00
$620.00
Question 15(Multiple Choice Worth 5 points)
(01.02 MC)

Simplify negative 6 and 1 over 4 – negative 2 and 1 over 8.

4 and 1 over 8
negative 8 and 3 over 8
negative 4 and 1 over 8
8 and 3 over 8

Answers

Answer:

itz c  and a

Step-by-step explanation:

help please, what’s the answer to this?

help please, whats the answer to this?

Answers

The answer is c , c yea

To determine the % Cr in the chromium-complex Legna synthesized, she massed out a 1.0240 g sample of the Cr complex. She dissolved the sample in a volumetric flask and made 100.0 mL of solution. From the standard curve of Absorbance versus concentration Legna obtain [Cr^3+]=0.03933 M. Calculate the %Cr in the complex.

Answers

the %Cr in the complex is 26.294%.

To determine the % Cr in the chromium-complex Legna synthesized, she massed out a 1.0240 g sample of the Cr complex. She dissolved the sample in a volumetric flask and made 100.0 mL of solution. From the standard curve of Absorbance versus concentration Legna obtained [Cr3+]=0.03933 M. Calculate the %Cr in the complex.

To determine the % Cr in the chromium-complex synthesized by Legna, we can use the following formula:% Cr = (mass of Cr/mass of sample) x 100We have the mass of the sample, which is 1.0240 g. We need to find the mass of Cr in the sample. To do this, we need to find the number of moles of Cr in the solution, and then use the molar mass of Cr to convert this to mass.

The concentration of Cr3+ in the solution is given as 0.03933 M. We know that the complex is made up of Cr and some other ligands, and the concentration of Cr3+ is not the same as the concentration of Cr in the complex. To find the concentration of Cr in the complex, we need to use the formula:[Cr] = [Cr3+] x (1/x), where x is the number of moles of Cr3+ in the complex.

Let's assume that there is one mole of Cr3+ in the complex, then x = 1. If there are n moles of Cr3+ in the complex, then x = n. We can find x by using the formula:x = (mass of sample/Mr of Cr3+) x [Cr3+]/volume of solutionWe know that the mass of the sample is 1.0240 g, and the volume of the solution is 100.0 mL = 0.1000 L. The molar mass of Cr3+ is 52.00 g/mol. Substituting these values into the formula, we get:x = (1.0240/52.00) x 0.03933/0.1000x = 0.000761 moles of Cr3+ in the complex

Now we can use the formula [Cr] = [Cr3+] x (1/x) to find the concentration of Cr in the complex:[Cr] = 0.03933/0.000761[Cr] = 51.69 M

Finally, we can use the formula:% Cr = (mass of Cr/mass of sample) x 100The molar mass of Cr is 52.00 g/mol. The mass of Cr in the complex is 51.69 x 52.00 = 2689.88 g/mol. Substituting this value and the mass of the sample (1.0240 g) into the formula, we get:% Cr = (2689.88/1.0240) x 100% Cr = 262944.53% Cr = 26.294%

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area de un triangulo rectangulo si saben digame por favorrrrr

Answers

Area de triangulo: A=1/2 * base * Height

Area de rectangulo: A= Width * Length

√(5-b)^8

simplifying radicals

please explain your answer too so i can understand how you did it​

(5-b)^8simplifying radicalsplease explain your answer too so i can understand how you did it

Answers

Answer:

  (5 -b)^4 = b^4 -20b^3 +150b^2 -500b +625

Step-by-step explanation:

The applicable rules of exponents are ...

  √a = a^(1/2)

  (a^b)^c = a^(bc)

__

You have √((5-b)^8) = ((5 -b)^8)^(1/2)

  = (5 -b)^(8/2) = (5 -b)^4

Sometimes, "simplify" means "remove parentheses".

  (5 -b)^4 = b^4 -20b^3 +150b^2 -500b +625

Kimo paid $24 for the shirt which was 75% of the regular price. What was the regular price?

Answers

Answer:

$32

Step-by-step explanation:

75/100=24/x

75x=100(24)

75x=2400

/75.   /75

x=32

hopes this helps please mark brainliest

Answer:

answer above is correct!

Step-by-step explanation:

25% of 32 is 8

32-8 is 24, aka 75% of the og price:)

18. Simplify the complex fraction.

18. Simplify the complex fraction.

Answers

Answer:

B.

4*2=8

5*3=15

Answer:

A is 3\5; B is 8\3; C is 3\8; D is 5\3

Step-by-step explanation:

divide or multiply
i don't know  if these are right bc I didn't do them in a long time.

2x+5x=60
Definition of arithemtic sequence


Did yall watch Cobra Kai yet?

Answers

Answer:

I watched cobra Kai and loved it. Still waiting on Netflix new season. Watched to where Miyagi-do and Eagle Fang members joined up. So wonderful that Demetrius and Hawk made up.

Step-by-step explanation:

Hope this helps.

Answer:

Yes i have watched the show.

Define convenience purchases, shopping purchases, and specialty purchases. Describe three specific brand name products in the consumer marketplace today that would correspond to these three types of purchases.

Answers

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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PLS HELP eixosixosdkkzk

PLS HELP eixosixosdkkzk

Answers

The value of the trigonometry equation (sin 60)(cos 30)+(cos 60)(sin 30) is sin (60+30). Option J is correct.

What is the formula of sum of sin (a+b)?

The formula of sum of sin (a+b) is the trigonometry identity which is used to solve and simplify the problem based on trigonometry equation.

The formula of sum of sin (a+b),

Sin(A+B)=(sin A)(cos B)+(cos A)(sin B)

Here, (A and B) are the measure of angles.

The trigonometry equation given in the problem is,

(sin 60)(cos 30)+(cos 60)(sin 30)

Compare this expression with the above formula we get,

A=60

B=30

Thus, the value of the given expression is,

(sin 60)(cos 30)+(cos 60)(sin 30)=sin (60+30)

Thus, the value of the trigonometry equation (sin 60)(cos 30)+(cos 60)(sin 30) is sin (60+30). Option J is correct.

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x(x - 1) -y (у-1) =0​

Answers

\(x(x-1)-y(y-1)=0\\x^2-x-y^2+y=0\\\)

The graph is a x.

A pizza shop sells pizzas that are 12 inches in diameter or larger a 12 inch cheese pizza cost eight dollars each additional inch cost $2.50 and each additional toppings cost $1.25 write an equation that represents the cost of the pizza be sure to specify what variables represent they'll be three variables

Answers

Answer:

C(x, y) = 8 + 1.25x + 2.50(y - 12)

Step-by-step explanation:

Given that:

Cost of 12 inch cheese pizza = $8

Each additional inch cost $2.50

Each additional topping cost $1.25

The cost equation :

Let x = additional topping ; y = diameter of pizza, cost of pizza = C

C(x, y) = cost of 12-inch + (cost of additional topping * number of additional topping) + (cost per additional diameter * extra diameter)

C(x, y) = 8 + 1.25x + 2.50(y - 12)

Answer: C(x, y) = 8 + 1.25x + 2.50(y - 12)

Step-by-step explanation:

For lunch, Jack ate 1/4 of a pizza, which was twice as much as John ate. If Timmy ate 1/6 of a pizza more than the amount that Jack and John ate combined, then what fraction of a pizza did Timmy eat?

Answers

Answer:

Timmy ate 13/24 of the pizza.

Step-by-step explanation:

To solve this problem, first you need to know how much pizza Jack and John ate. We know that Jack ate 1/4 of the pizza, and that John ate half of that, so we know that John ate 1/8 of the pizza. Together, Jack and John ate (1/4 + 1/8), which equals 3/8 of a pizza. Next, we need to find how much of the pizza Timmy ate. We know that he has eaten 1/6 more of the pizza than Jack and John combined, so that would be 1/6 more than 3/8. To add 1/6 to 3/8, we need to have a common denominator. The lowest common denominator would be 24, so you would have 4/24 + 9/24. That equals 13/24, so we know that Timmy ate 13/24 of the pizza.

how do i get accepted into an elite university as a student that has a 1600/1600 on the sats, but only a 3.4 cumulative gpa (due to bad freshman and sophomore years)?

Answers

To enhance your chances of being accepted into an elite university with a high SAT score (1600/1600) but a lower cumulative GPA (3.4), it's crucial to focus on several key strategies.

The first paragraph provides a concise summary of the answer, while the second paragraph explains the solution in more detail.

Although a lower cumulative GPA may present a challenge, there are steps you can take to improve your chances of being accepted into an elite university. Firstly, focus on excelling in your junior and senior years to demonstrate an upward trend in your academic performance. Take challenging courses and aim for strong grades.

Secondly, highlight your unique strengths and accomplishments in your application, such as impressive extracurricular activities, leadership positions, and impactful community involvement.

Additionally, write a compelling personal statement that explains any extenuating circumstances during your freshman and sophomore years and emphasizes personal growth and resilience. Lastly, consider showcasing your talents through outstanding recommendation letters and performing well on any additional standardized tests or subject-specific exams.

Present a well-rounded application that showcases your potential and highlights your dedication and growth since your earlier academic struggles

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they plan to randomly select 30 parents from every elementary school, send them a survey and follow up with a phone call or home visit if the survey is not returned within a week. (a) which type of sampling strategy is being used? cluster sampling convenience sampling stratified sampling voluntary response sample attempt at a census

Answers

If they plan to randomly select 30 parents and send them a survey and follow up with a phone call , then type of sampling strategy being used is (a) Cluster Sampling.

The Cluster Sampling is defined as a sampling technique where the entire population is divided into groups or clusters, and then a sample is taken from each cluster.

In this case, the entire population of the school system is divided into 10 elementary schools, and a sample of 30 parents from each school is selected.

The idea behind cluster sampling is that it is often easier and more efficient to obtain a sample from a smaller group rather than trying to select a sample from the entire population. The key feature of cluster sampling is that the units selected from the population are groups rather than individuals.

The given question is incomplete , the complete question is

In a large city school system with 10 elementary schools in a variety of neighborhoods, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. The PTA wants to find out whether parents agree with this plan. They plan to randomly select 30 parents from every elementary school, then send them a survey and follow up with a phone call or home visit if the survey is not returned within a week.

Which type of sampling strategy is being used ?

(a) Cluster Sampling

(b) Convenience Sampling

(c) Stratified Sampling

(d) Voluntary Sample .

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7 minus the quotient of j and 5

Answers

Answer: 7 - 3/v

Our expression is rewritten in mathematical form is  

Step-by-Step Explanation:

Since we have given that

7 minus the quotient of 3 and v

As we know that

The quotient of 3 and v is rewritten as

7 minus from it:

So, our expression is rewritten in mathematical form is

Step-by-step explanation: 7-3/v

please draw a flow diagram of making coffee grounds. Include the
value added analysis

Answers

The process of making coffee grounds involves sourcing, roasting, grinding, and packaging high-quality beans.

The process of making coffee grounds starts with sourcing and selecting high-quality beans, which sets the foundation for a superior product. These beans are then carefully roasted to unlock their unique flavors and aromas, enhancing the overall coffee experience.

The roasted beans are ground to the desired consistency, catering to different brewing methods and preferences. Finally, the freshly ground coffee is meticulously packaged to preserve its freshness, ensuring that customers can enjoy the full flavor profile.

Through value-added analysis, each step is evaluated to identify activities that directly contribute to the product's value, allowing for optimization and efficiency in the production process.

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please help dont understand

please help dont understand

Answers

Answer:

36.5 sq cm

Step-by-step explanation:

If you find the length of AB then you know the diameter and can find the area.

3.9^2 + 5.6^2 = c^2

15.21 + 31.36 = c^2

46.57 = c^2

6.82 = AB

The radius is half of that, so it is 3.41. Radius squared x pi = area

36.5 sq cm

Answer:

36.576 cm²

Step-by-step explanation:

We can simply figure out the hypotenuse of the triangle which is the diameter of our circle, then use the radius to get the area of the circle:

\(a^2+b^2=c^2\\\\5.6^2+3.9^2=c^2\\\\31.26+15.21=c^2\\\\46.57=c^2\\\\c=\sqrt{46.57}\)

Since we have our diameter, the radius is simply \(r=\frac{\sqrt{46.57}}{2}\),  and finding the area of the circle becomes simple enough:

\(A=\pi r^2\\\\A=\pi(\frac{\sqrt{46.57}}{2})^2\\ \\A=\pi(\frac{46.57}{4})\\ \\A\approx36.576\)

Therefore, the area of the circle is 36.576 cm²

the following questions.
1) Find the unknown angle measure.
35⁰
10
62⁰

Answers

The unknown angle measure based on the information is 35⁰.

How to calculate the angle

An angle is a geometric figure formed by two rays (or lines) that share a common endpoint called the vertex. The rays are typically represented as line segments with the vertex at their endpoint, and the angle is measured in degrees or radians based on the amount of rotation between the two rays.

Angles are commonly denoted using the vertex as the center point and a letter at each end of the rays, for example, angle ABC, where B is the vertex and A and C are the endpoints of the two rays forming the angle.

Since the angles on a triangle are 80°, x, and 65°, the value of the unknown angle will be:

= 180 - (65 + 80)

= 35°

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The angles on a triangle are 80°, x, and 65°. What is the value of the unknown angle?

​The pair of points (5, 6) and (10, y) lie on a line with slope 4/5 . What is the value of y?​

Answers

If the pair of points (5, 6) and (10, y) lie on a line with slope 4/5, then the value of y is 10

The slope m of the line passing through the points \((x_1, y_1)\) and \((x_2, y_2)\) is calculated as:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

For the line passing through points (5, 6) and (10, y)

\(x_1=5, y_1=6, x_2=10, y_2=y\)

The slope, m = 4/5

Substitute these value into the slope formula and solve for y

\(m=\frac{y_2-y_1}{x_2-x_1} \\\\\frac{4}{5}=\frac{y-6}{10-5} \\\\\frac{4}{5}=\frac{y-6}{5}\)

Cross  multiply:

4(5)  =  5(y-6)

4   =  y  -  6

Collect like terms

y  =  4  +  6

y  =  10

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drivers between the ages of 55 - 70 have the largest proportion of drivers killed due to distracted driving. true false

Answers

False , Teenage and young adult drivers are killed due to distracted driving.

Drivers under the age of 21 have a higher likelihood of being distracted than those over that age. A 2019 survey of high school students in the United States found that 39% of those who had driven in the 30 days prior had texted or emailed at least once.

White students (44%) were more likely to text or email while driving than Black (30%) or Hispanic (35%). Older students were more likely to engage in this behaviour than younger students.

Students were just as likely to use email or text while driving.

When texting or sending emails while driving, students were more likely to report engaging in extra risky driving behaviours. They were more likely to occasionally fail to put their belts.

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What whole number is closest to the square root of 80

Answers

Answer:

8.94427191

Step-by-step explanation:

8.95 or the closet answer from this

Write 2x+y=17 in slope-intercept form

Answers

Answer:

y=-2x+17

Step-by-step explanation:

Write in equation in slope form of the line shown

Write in equation in slope form of the line shown

Answers

Answer:

y=2x-5

Step-by-step explanation:

Slope intercept form is y=mx+b, with m being the slope and b being the y-intercept.

Slope is found through (y2-y1)/(x2-x1) and when the values are plugged in you get (-3-1)/(1-3) which equals -4/-2 or 2.

y=2x+b

Since b is the y-intercept, you plug in the value of the point where the line crosses over the y axis. In this case, that value is -5, so you get y=2x-5.

An angle measures 142° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

161° and 19°

Step-by-step explanation:

supplementary angles =180

(142+x)+(x)=180

142+2x=180

2x=180-142

2x=38

x=19

142+19=161

what is the length (in cm) of a pendulum that has a period of 0.537 s?

Answers

The length of the pendulum is approximately 24.99 cm.

The formula for the period of a pendulum is:

T = 2π√(L/g)

where T is the period in seconds, L is the length of the pendulum in meters, and g is the acceleration due to gravity (approximately 9.81 \(m/s^2\)).

To find the length L of the pendulum in centimeters, we can rearrange the formula as follows:

L = (T/2π\()^2\) * g

Substituting T = 0.537 s and g = 9.81 m/s^2 (which is equivalent to 981 cm/s^2), we get:

L = (0.537/(2π)\()^2\) * 981

L ≈ 24.99 cm

Therefore, the length of the pendulum is approximately 24.99 cm.

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PLEASE HELP WILL MARK BRAINLIEST!!!

PLEASE HELP WILL MARK BRAINLIEST!!!

Answers

Answer:

3√2/2 in or 2.12 in

Step-by-step explanation:

CD is angle bisector of angle ACB:∠BCD = ∠ACD = 90°/2 = 45°∠CBD = 45° as ∠CDB = 90°CD = BD as triangle CDB is isosceles right triangleBC = CD√2 as per property of 45° right triangleCD = BC/√2 = 3/√2 = 3√2/2 = 2.12 in
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