Assume that a company makes only one product, maintains no beginning or ending inventories, and uses a standard costing system. The standard cost card for that product is shown below:

Standard Quantity or Hours Standard Price or Rate Standard Cost
Direct materials 3 pounds $ 13.00 per pound $ 39.00
Direct labor 2 hours $ 16.00 per hour $ 32.00
Fixed manufacturing overhead 2 hours $ 8.00 per hour $ 16.00

The company purchased 22,000 pounds of direct materials from its supplier at a cost of $12.50 per pound. The company used 22,000 pounds of direct material to start and complete 7,800 units of finished goods during the period. Its direct laborers worked 16,000 hours and were paid a total of $248,000. Based on this information, the total increase recorded in the Work in Process account related to direct labor would be:

Garrison 17e Rechecks 2020-09-29

Multiple Choice
$241,800.
$256,000.
$248,000.
$249,600.
Group Ends

Answers

Answer 1

Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor.

How to calculate labor cost ?

To determine the total increase recorded in the Work in Process account related to direct labor, we need to first calculate the total standard cost of direct labor for the period and then compare it to the actual cost of direct labor.

According to the standard cost card, each unit of the product requires 2 hours of direct labor at a rate of $16.00 per hour.

This means that the total standard cost of direct labor for the period is 2 * $16.00 * 7,800 = $248,000.

Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor. Therefore, the total increase recorded in the Work in Process account related to direct labor would be $0.

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Related Questions

A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, s shown below. A: 12, 11, 09, 0.4 C 1.0, 1.5, 1.1, 1.3 B: 2.3, 2.1,1.9, 1.6 D0.8,1.3, 1.1, 0.7 The ressults of the analysis are Sumarized in the following ANOVA table F P-value 1818 1.0606 Neighbarhood Error Total 0001 12 4.3644 (a) (Spt) Fill in the blanks in the ANOVA table. (Show your steps for partial credits (b) (2pt) Bsed on the P-value in the ANOVA, you should rejesct) Hp then conclude thnt (reject or not (c) (2pt) The realtor decided to compare the 4 population mes by using the a multiple comparison procedure. In this case, you prefer to uTukey or Bonferroni) because (d) (1pt) Given the multiple comparison procesdr comparisons that can be made in (c), there are

Answers

The solutions are,

(a) 1.1825

(b) 0.0985

(c) Reject the null hypothesis since the test's p-value (0.001) is less than 0.05. One might draw the conclusion that there is evidence of a difference in the mean ratios for the 4 neighborhoods based on the sample data.

Given data,

A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood ;

(a) The within-group sum of squares for this analysis will be

4.3644 - 3.1819 = 1.1825

Hence, within the group sum of squares for this analysis is 1.1825.

(b) There are four groups so df for within groups is 12 so the within-group mean squares for this analysis will be,

\(\frac{1.1825}{12}=0.0985\)

(c) Since the p-value of the test (0.001) is less than 0.05, reject the null hypothesis. That is based on sample evidence one can conclude that there is evidence of a difference in the mean ratios for the 4 neighborhoods.

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what is the slope of this graph thank you

what is the slope of this graph thank you

Answers

Answer:

-1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1/3


Blood Pressure
The pressure P (in millimeters of mercury) against the walls of
the blood vessels of a patient is modeled by
P(t) = 100-20cos ((8•(pie))/3)
where t is time (in seconds).
1) Graph the model and state any important key features in
context of the problem. Period, Ascontops, Doman, Range. Amplitude
What does the period tell
2) What is the period of the model?
you about this situation? The Change
3) What is the amplitude of the model? What does it tell you
about this situation?
4) If one cycle of this model is equivalent to one heartbeat,
what is the pulse of this patient?
5) A physician wants this patient's pulse rate to be 64 beats
per minute or less. What should the period be? What
should the coefficient of t be?
6) what
ar Some ways we can use this
Function to help others/benefit
Society?
Explain.

Answers

The solution is, the correct option is, A.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The translation of a sin function can be modeled by the form: P(t)=Asin(Bx+C)+D

Where:

A = the curve's amplitude (highest and lowest points)

The period = (2[pi])/ |B|

The phase shift (horizontal shift) = (-C)/B

D = vertical shift

By looking at the function we are given: P(t)=30sin(2[pi]t)+100,

We can see that the amplitude (the curve's highest and lowest points) = 30.

The phase shift (C) or in this case 't' = 0 (so there is no horizontal shift)

The period = 1

And D (the vertical shift) = 100

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Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N

Answers

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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surface area of cylinders
2in radius 4in height use 3.14 for pi. need help

surface area of cylinders2in radius 4in height use 3.14 for pi. need help

Answers

Answer:

Step-by-step explanation:

A = (2)(3.14)(2)(4) + (2)(3.14)(2^2)

A = 75.36 in

A family drove from home to truckee at 55 mph and returned the same route at 40 mph due to a snow storm. the total travel time was 4.75 hours. Determine the distance between their home and truckee

Answers

Answer:

1.3245

Step-by-step explanation:

I really need help it’s due in 10 minutes

I really need help its due in 10 minutes

Answers

In the picture we have to solve the individual variables A=2πr²+2πrh. We got function with r as subject is\(\frac{-h}{2} \pm\sqrt{\frac{h^{2}}{4 } +\frac{a}{2\pi} }\)

Given that,

In the picture we have to solve the individual variables

A=2πr²+2πrh

We have to find function with r as subject.

Taking A to left side we get

2πr²+2πrh-A=0

We can see the equation is in the form of quadratic equation with variable r.

So, The factor we find by using the formula

That is \(\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}\)

Here, a=2π,b=2πh and c=-A

r=\(\frac{-2\pi h\pm\sqrt{(2\pi h)^{2}-4(2\pi)(-a) } }{2(2\pi)}\)

r=\(\frac{-2\pi h\pm\sqrt{(4\pi^{2}h^{2} +8\pi a) } }{4\pi}\)

r=\(\frac{-h}{2} \pm\frac{\sqrt{(4\pi^{2}h^{2} +8\pi a )} }{4\pi}\)

r=\(\frac{-h}{2} \pm\sqrt{\frac{4\pi^{2}h^{2}+8\pi a }{16\pi^{2} } }\)

r=\(\frac{-h}{2} \pm\sqrt{\frac{h^{2}}{4 } +\frac{a}{2\pi} }\)

Therefore, We got  function with r as subject is\(\frac{-h}{2} \pm\sqrt{\frac{h^{2}}{4 } +\frac{a}{2\pi} }\)

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A random sample of 45 cars in the drive thru of a popular fast food restaurant revealed an average bill of $19.47 per car. The population standard deviation is $6.15. Estimate the mean bill for all cars from the drive thru with 94% confidence. Round intermediate and final answers to two decimal places.

Answers

Answer:

The confidence interval is (17.73, 21.29)

Explanation:

Sample size = 45

Sample mean = $19.47

Standard deviation = $6.15

Confidence Interval level = 94%, so 1 - 0.94 = 0.06

0.06/2 = 0.03 .

z(0.03) = 1.88

Margin of Error = 1.88 * 6.15/sqrt(45)

= 1.72

Confidence Interval = (19.47 - (1.88*6.15/sqrt(45)), 19.47 + (1.88*6.15/sqrt(45))

= (17.75, 21.19)

PLEASE ANSWER AS SOON AS POSSIBLE
What was one important achievement of the Roman Empire?

PLEASE ANSWER AS SOON AS POSSIBLEWhat was one important achievement of the Roman Empire?

Answers

Answer:

d i think

Step-by-step explanation:

PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!!

PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!!

Answers

The interpretation of the y-intercept of the model is (d) when the attendance is 0, the number of wins is 15.2

How to interpret the y-intercept of the model?

The equation of the linear regression model is given as

y = 4.9x + 15.2

The y-intercept of the model implies that

x = 0

Substitute x = 0 in the equation of the linear regression model given as

y = 4.9x + 15.2

So, we have

y = 4.9 x 0 + 15.2

Evaluate the product

So, we have

y = 0 + 15.2

Evaluate the sum

So, we have

y = 15.2

Hence, the interpretation of the y-intercept of the model is (d) when the attendance is 0, the number of wins is 15.2

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At a school party there are 40 cookies. The ratio of chocolate cookies to oatmeal cookies is shown in the tape diagram.

How many oatmeal cookies were at the party?

Answers

Answer:

15 oatmeal cookies.

A large company event was held in a park on a hot day. Afterward, many of the employees got sick. Some blamed the potato salad. To investigate, a random sample of 20 sick employees and a random sample of 20 non-sick employees are selected. Each selected individual is asked if they ate the potato salad. The results are displayed in the table.



Management would like to know if there is convincing evidence that the distribution of responses about eating the potato salad differs for all employees who are sick versus those who are not sick. What are the appropriate hypotheses for this test?

H0: There is no difference in the distribution of responses among those who are and are not sick.
Ha: There is a difference in the distribution of responses among those who are and are not sick.
H0: There is a difference in the distribution of responses among those who are and are not sick.
Ha: There is no difference in the distribution of responses among those who are and are not sick.
H0: There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
Ha: There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
H0: There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
Ha: There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.

Answers

The appropriate hypotheses for this test are: H0: There is no difference in the distribution of responses. Ha: There is a difference in the distribution of responses.

The chosen hypotheses are based on the objective of the investigation, which is to determine if there is convincing evidence that the distribution of responses about eating the potato salad differs between employees who are sick and those who are not sick.

The null hypothesis (H0) assumes that there is no difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This means that the proportion of employees who ate the potato salad would be the same in both groups, and any observed difference in the distribution of responses is due to random chance or factors unrelated to being sick or not sick.

On the other hand, the alternative hypothesis (Ha) proposes that there is a difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This suggests that the proportion of employees who ate the potato salad would be significantly different in the two groups, indicating a possible association between consuming the potato salad and getting sick.

By formulating these hypotheses, the investigation aims to evaluate whether the data provides convincing evidence to reject the null hypothesis in favor of the alternative hypothesis, indicating a meaningful relationship between eating the potato salad and falling sick.

Therefore, the correct answer is:

H0: There is no difference in the distribution of responses about eating the potato salad among those who are and are not sick.

Ha: There is a difference in the distribution of responses about eating the potato salad among those who are and are not sick.

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plSSSSSssssssssssssSsSsS

plSSSSSssssssssssssSsSsS

Answers

Answer:

78.54

Step-by-step explanation:

The formula is \(A = \pi r^2\\\). So, substitute the values into the equasion and get the answer.

According to the order of operations, we square the radius first, then multiply by pi. 5^2 = 25. 25 * pi = 78.5398163397. I just rounded it to the nearest hundereth.

Now for the top make it drop its the wap

Answers

Answer:

get the bucket get the mop it's a way it's a wap

Answer:

pop offfffffffffffffffffffffffffffffffffffffffffffffffffffff

Step-by-step explanation:

Use the variable c to represent Chau's height.

Use the variable c to represent Chau's height.

Answers

\(\left[\begin{array}{ccc}Answr:\\=&=&=\\1&6&.\end{array}\right]\)

Step-by-step explanation & Answer

In order to find chau’s height we would only need to subtract:

40 - 24 = ?

? = 16

But it determines what you are putting it in as well.

You can put it in, feet, meters, or inches.

So I do not know but looking at the question it seems like I do not need to know. ( Saying thing because you might actually have the measurements but I do not know / I cannot see. )

Thus the answer to your problem is, 16

Pls helpppp! Its due in a few minsss :(

Jeremy and his sister are visiting a fair. It costs $8 for both of them to enter the fair as well as a $0.50 for each game that they play. The siblings have $20 to spend at the fair. Write an inequality to determine the number of games that they can play at the fair?

Answers

Answer:

x=$10

y=$12

Step-by-step explanation:

Step one:

given

let senior tickets be x

and child be y

8x+9y=188----1

also on the second day

x+5y=70-------2

the system of equation is

8x+9y=188-----1

x+5y=70---------2

x=70-5y, put this in 1

8(70-5y)+9y=188

560-40y+9y=188

-31y=-372

divide by -31

y=-372/-31

y=$12

put y= 12 in x+5y=70---------2

x+5(12)=70---------2

x+60=70

x=$10

Step-by-step explanation:

The shape of a sample distribution is approximately

Answers

Answer:

A theorem that explains the shape of a sampling distribution of sample means. It states that if the sample size is large (generally n ≥ 30), and the standard deviation of the population is finite, then the distribution of sample means will be approximately normal.

Step-by-step explanation:

google

can I have brainliest

or
Look at this diagram:

M
N
O
P
Q
R
S
T


If
NP
and
QS
are parallel lines and mNOM = 130°, what is mPOM?

Answers

If NP and QS are parallel lines and ∠NOM = 130° then the value of ∠POM is 50°.

What is parallel line?

Parallel lines are two or more lines in a plane that do not intersect, regardless of how far apart they are.

Despite being located at different distances from one another, parallel lines always have the same slope, which is the same steepness and direction.

Since NP and QS are parallel lines, we have:

∠NOM + ∠MOP = 180° (because NOM and MOP are on a straight line)

Also, the alternate interior angles NOM and POM are equal, so:

∠NOM = ∠POM

Substituting this into the first equation gives:

∠POM + ∠MOP = 180°

We can now solve for ∠POM by substituting the given value:

130° + ∠POM = 180°

∠POM = 50°

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10•1/2+(-6)(-3) Simplified in steps

Answers

Answer:

23

Step-by-step explanation:

1)  (10*0.5)+(-6*-3)

2) (5)+(18) (The 18 isn't negative because of the rule that states "A negative and a negative will become positive"

3) 5+18=23

Find the midpoint (-8,6), (5,-7)

Answers

Answer:

Hello

Midpoint of (-8,6) and (5,-7)

P(a,b)=(x1+x2/2),(y1+y2/2)

        =(-8+5/2),(6+-7/2)

        =(-3/2),(-1/2)

Midpoint of (-8,6) and (5,-7) is (-3/2),(-1/2)

Hope it helps you.....

Write a compound inequality: a quantity of x is greater than 10 and less than 20

Answers

The compound inequality is: x<20 and x>10

Given,  a quantity of x is greater than 10 and less than 20.

A compound inequality (also known as a compounded inequality) is created when two or more inequalities are coupled with and. One part of an inequality must be true for a value to be a solution to an or inequality. It must make both parts true in order to be the solution to an inequality. X<3 or X>2, for instance.

Divide a compound inequality into two independent ones before attempting to solve it. Choose either a union of sets ("or") and an intersection of sets as the appropriate response ("and"). Then, resolve the graph and all inequalities.

Simply put, a compound inequality is more than one inequality that we want to address simultaneously. When referring to the resolution of both inequalities, we can either use the term "and" or "or."

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What integer is equal to 5!×2!?​

Answers

Answer:

240

Step-by-step explanation:

! means factorial or to multiply by the previous number down to one so 5!=5*4*3*2*1=120 120*2=240.

A cell phone company charges $100 to activate a phone line and then $50 a month after that. Which of the following functions relates the total cost after a certain amount of time?

Answers

Y= 100+50x should be a correct function

Complete the proof of the identity by choosing the Rule that justifies each step.
To see a detailed description of a Rule, select the More Information Button to the right of the Rule.


Statement Rule 1. Algebra
cosx/sinx (sec*2x - 1) Rule ? 2. Quotient
cosx/sinx (tan*2x) Rule ? 3. Pythagorean
cosx/sinx (sin*2x/cos*2x) Rule ? 4. Odd/Even
sinx/cosx Rule ? 5. Reciprocal
tanx Rule ?

Find the rules answers towards each statement

Answers

All rules towards each statement shown in table below.

Define the term trigonometry?

The relationships between the sides and angles of triangles are the subject of the mathematical discipline of trigonometry. It entails the study of trigonometric functions like sine, cosine, and tangent, which connect a triangle's angles and side lengths.

Rules towards each statement:

                                                                  Statements

Rule1.     Cos x/ Sin x  (Sec 2x - 1)             Pythagorean identity

Rule2.    Cos x/Sin x  (Tan 2x)                  Algebra

Rule3.    Cos x/Sin x (Sin 2x/Cos 2x)       Reciprocal

Rule4.    Sin x/Cos x                                 Odd/ Even

Rule5.    Tan x                                           Quotient

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As per trigonometric functions, rules towards each statement are:

Rules towards each statement:

                                                                 Statements

Rule1.     Cos x/ Sin x (Sec 2x - 1)             Pythagorean identity

Rule2.    Cos x/Sin x (Tan 2x)                  Algebra

Rule3.    Cos x/Sin x (Sin 2x/Cos 2x)       Reciprocal

Rule4.    Sin x/Cos x                                 Odd/ Even

Rule5.    Tan x                                           Quotient

What exactly does trigonometry mean?

Trigonometry is a branch of mathematics that focuses on the relationships between triangles' sides and angles. It requires studying the trigonometric functions that link the angles and side lengths of a triangle, such as sine, cosine, and tangent.

Rules towards each statement:

                                                                 Statements

Rule1.     Cos x/ Sin x (Sec 2x - 1)             Pythagorean identity

Rule2.    Cos x/Sin x (Tan 2x)                  Algebra

Rule3.    Cos x/Sin x (Sin 2x/Cos 2x)       Reciprocal

Rule4.    Sin x/Cos x                                 Odd/ Even

Rule5.    Tan x                                           Quotient

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PLEASE HELP ME I DONT WANT TO FAIL

PLEASE HELP ME I DONT WANT TO FAIL

Answers

Answer:

g(x) = 2ˣ - 3

Step-by-step explanation:

f(0) is 1 since 2⁰ = 1

So to get to the point -2, we'd have to subtract 3.

Let's see where g(x) = 2ˣ - 3 takes us.

g(0) = 2⁰ - 3 = -2

g(2) = 2² - 3 = 1

That's already a match, so no further transformation needed.

f(g(x)) g(f(x)) ANSWER QUESTION BELOW BRIEF RESPONSE

f(g(x)) g(f(x)) ANSWER QUESTION BELOW BRIEF RESPONSE

Answers

Given statement solution is :- "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)).

"f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)).

The expressions "F(g(x)) g(f(x))" and "f(g(x)) g(f(x))" are compositions of functions. The answer to the question posed would depend on the specific functions F(x) and g(x), as well as f(x) and g(x) in the second expression.

To provide a brief response:

For the expression "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)). The order of composition is F(g(x)) first, followed by g(f(x)).

For the expression "f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)). The order of composition is f(g(x)) first, followed by g(f(x)).

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Which one doesn’t belong and why

Which one doesnt belong and why

Answers

The polygon does not belong to the group as it is created by a finite number of line segments and the concept of the radius of curvature is not applicable.

What shape is different from the others?

In this problem we have three shapes related to circle-like and ellipse-like arcs (circle, semicircle, ellipse) and a regular polygon.

Circles are closed figures created by a arc whose radius of curvature is the same at every point and ellipses are closed figures created  by a arc whose radius of curvature varies in the following interval: a ≤ r ≤ b, where a, b are the lengths of the semiaxes.

Polygons are closed figures created by a finite number of line segments and therefore the concept of radius of curvature is not applicable.

Therefore, the polygon does not belong to the group as it is created by a finite number of line segments and the concept of the radius of curvature is not applicable.

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please help!!! if i don’t get this test right then i fail and i really can’t ! i’ll mark brainlyist ! pleasee
anyone

please help!!! if i dont get this test right then i fail and i really cant ! ill mark brainlyist ! pleaseeanyone

Answers

Answer:

208 cubic units

Step-by-step explanation:

The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:

The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.

Now, let’s calculate the volume of the rectangular prism:

The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160


Now, add up the volumes of the rectangular and triangular prisms:

160 + 48 = 208 cubic units

please help me
is for my daughter ​

please help me is for my daughter

Answers

Answer:

A

Step-by-step explanation:

AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.​

Answers

To find the length of AB, we need to use the properties of a tangent to a circle.

When a line is tangent to a circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle ABD is a right triangle with AB as the hypotenuse.

We can use the Pythagorean theorem to find the length of AB:

AB^2 = AD^2 + BD^2

Since AD = x + 9 and BD = 8x - (x + 9) = 8x - x - 9 = 7x - 9, we can substitute these values into the equation:

(8x)^2 = (x + 9)^2 + (7x - 9)^2

64x^2 = x^2 + 18x + 81 + 49x^2 - 126x + 81

64x^2 = 50x^2 - 108x + 162

14x^2 + 108x - 162 = 0

Dividing the equation by 2, we get:

7x^2 + 54x - 81 = 0

Using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

a = 7, b = 54, c = -81

x = (-54 ± √(54^2 - 4 * 7 * -81)) / (2 * 7)

x = (-54 ± √(2916 + 2268)) / 14

x = (-54 ± √5184) / 14

x = (-54 ± 72) / 14

Now we solve for x:

Case 1: x = (-54 + 72) / 14 = 18 / 14 = 9 / 7

Case 2: x = (-54 - 72) / 14 = -126 / 14 = -9

Since the length of a segment cannot be negative, we discard the second case and focus on the positive solution.

Therefore, x = 9/7.

Substituting this value back into AB = 8x:

AB = 8 * (9/7) = 72/7 ≈ 10.29

Rounding to 2 decimal places, the length of AB is approximately 10.29 units.

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

MARK AS BRAINLIEST!!!

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