Archaeologists discovered a portion of a stone wall. To calculate its original diameter, they marked and measured chord KM and it's perpendicular bisector. What was the diameter of the original circular wall?
Answers:
8ft
10ft
Nome of them are correct

Archaeologists Discovered A Portion Of A Stone Wall. To Calculate Its Original Diameter, They Marked

Answers

Answer 1

Answer:

8 ft

Step-by-step explanation:

Answer 2

The diameter of the original circular wall is 10 feet.

What is Chord of a Circle?

Chord of a circle is defined as the line segment that is formed by joining two points which are on the circle.

Diameter is the largest chord.

Given is a circle.

A chord KM is given.

The perpendicular bisector of the chord KM is also drawn, which is actually the diameter.

We have "Intersecting Chords Theorem" which states that products of each segment on each of the chords are equal.

Using the Intersecting Chords theorem here,

Let x be the unknown segment length of the diameter.

2 × x = 4 × 4

2x = 16

x = 6/2 = 8

Diameter = 8 + 2 = 10 feet

Hence the diameter of the original circular wall is 10 feet.

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Related Questions

point qqq was rotated about the origin (0,0)(0,0)left parenthesis, 0, comma, 0, right parenthesis by 180^\circ180 ∘ 180, degrees.

Answers

The new coordinates of point qqq after a 180-degree rotation about the origin are (-x, -y).

The point qqq was rotated about the origin (0,0) by 180 degrees.
To rotate a point about the origin by 180 degrees, we can use the following steps:

1. Identify the coordinates of the point qqq. Let's say the coordinates are (x, y).

2. Apply the rotation formula to find the new coordinates. The formula for a 180-degree rotation about the origin is: (x', y') = (-x, -y).

3. Substitute the values of x and y into the formula. In this case, the new coordinates will be: (x', y') = (-x, -y).

So, the new coordinates of point qqq after a 180-degree rotation about the origin are (-x, -y).

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if a set of difference scores with df = 8 has a mean of md = 3.5 and a variance of s2 = 36, then the sample will produce a repeated-measures t statistic of t = 1.75. true or false

Answers

The given statement "if set of difference scores with df = 8 has a mean of md = 3.5 then sample will produce repeated-measures t statistic of t = 1.75." is false because  it is not possible to determine t statistic.

In a repeated-measures t-test, the t statistic is calculated using the sample mean difference, the standard deviation of the sample mean difference, and the sample size. The formula for calculating the t statistic in a repeated-measures t-test is:

t = (md - μd) / (s / √n)

where md is the mean of the difference scores, μd is the population mean of the difference scores (typically assumed to be zero), s is the standard deviation of the difference scores, and n is the sample size.

In the given statement, we are provided with the mean of the difference scores (md = 3.5) and the variance (s² = 36), but we do not have the sample size (n). Therefore, we cannot calculate the t statistic using the given information.

Hence, it is not possible to determine whether the sample will produce a repeated-measures t statistic of t = 1.75 based on the provided information.

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Apply the distributive property to factor out the greatest common factor of all three terms.
9a−18b+21c=

Answers

The answer is 3(3a-6b+7c)
Apply the distributive property to factor out the greatest common factor of all three terms.9a18b+21c=

Answer:

3(3a-6b+7c)

Step-by-step explanation:

Louis made 24 quarts of lemonade he divided the lemonade equally between 6 pitchers

Answers

Answer:  4

Step-by-step explanation:

24 divided by 6 = 4

It’s 4! 24 divided by six is equal to 4!

Find the equation for the horizontal line that goes through point M(−2, 6).

Answers

Answer: y=-8

Step-by-step explanation:


explanation in the clip provided, horizontal lines have a slope of zero and you plug into the correct equation.

Answer:

The equation for the vertical line that goes through point M(−2, 6) is x = -2.

Step by step Explanation:

The equation of a straight line is:

y = mx + b;

y, x are variables, m is the slope of the line and b is the y intercept.

The slope of a vertical is undefined. Since the line passes through the point M(−2, 6), hence the equation of the vertical line is:

x = -2

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A clerk sold three pieces of one type of ribbon to different customers. One piece was 7 10/27 yards long; another was 7 3/4 yards long, and the third one was 14 5/9 yards long.what was the total length of the ribbon sold?

Answers

Given:

The length of first ribbon is, 7 10/27 yards.

The length of second ribbon is, 7 3/4 yards.

The length of third ribbon is, 14 5/9 yards.

The objective is to find the total length of the yard.

The total length of the yard can be calculated as,

\(\begin{gathered} T=7\frac{10}{27}+7\frac{3}{4}+14\frac{5}{9} \\ =\frac{199}{27}+\frac{31}{4}+\frac{131}{9} \\ =29.67\text{ yards} \end{gathered}\)

A customer wants an equity investment with a required rate of return of 7% and wants to receive a yearly dividend payment of $1.25. To meet the customer's requirements, the security must cost:

Answers

If customer wants an investment with rate of return of 7%, then to meet customer's requirements, the security must cost $17.86.

In order to find the cost of the security that meets the customer's requirements, we use the Dividend Discount Model (DDM). The DDM calculates the present value of future dividend payments based on the required rate of return.

The formula to calculate the cost of security is:

Cost of Security is = (Dividend)/(Required Rate of Return),

Substituting the values,

We get,

Dividend = $1.25

Required Rate of Return = 7% or 0.07 (in decimal),

So, the Cost-of-Security is = ($1.25)/(0.07) ≈ $17.86.

Therefore, the security must cost $17.86, in order to meet the requirement of customer.

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Larry Landlord changed the terms of the rental agreement of his tenant Telly without telling her. The changes most notably included doubling the monthly rent payment. This change to the contract is considered a(n) _____ and allows Telly to be discharged from the contract.

Answers

The change to the rental agreement made by Larry Landlord without informing Telly is considered a breach of contract, specifically a material breach, which allows Telly to be discharged from the contract.

When a party to a contract makes a significant change to the terms of the agreement without the consent or knowledge of the other party, it is generally considered a breach of contract. In this case, Larry Landlord altered the rental agreement by doubling the monthly rent payment without informing Telly. Such a change is considered a material breach, as it substantially affects the terms of the contract and the obligations of both parties.

As a result, Telly is entitled to be discharged from the contract, meaning she is no longer bound by its terms and obligations. She may seek legal remedies or negotiate a resolution based on the breach.

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What is the formula to find P(A) for a series of simple events (ex: tossing a coin and selecting a number at the same time)

Answers

The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

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Remainder theorem PLEASE HELP

Remainder theorem PLEASE HELP

Answers

The correct option is A. deductive reasoning. John use deductive reasoning to arrive at his conclusion.

What is deductive reasoning

Deductive reasoning is a logical approach where one progress from general ideas to specific conclusions. It is provable by deriving conclusions by reasoning.

The factor theorem states that: if the polynomial p(x) is divisible by x - a if and only if p(a)=0 {where p(a) is the remainder of p(x)/(x - a)}

John used the "general idea" of long division to derive the remainder of the polynomial x² - 25 divided by x - 5 to be zero. Which made him to arrive at the conclusion that (x - 5) is a factor of the polynomial x² - 25.

In conclusion, we can say that John used deductive reasoning to arrive at his conclusion and the correct option is A.

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Which equation could have been used to create this table? need answer fast


y = x + 6


y = x + 5


y = 6x

y = 7x

Which equation could have been used to create this table? need answer fasty = x + 6y = x + 5y = 6xy =

Answers

Answer:

y=6x

Step-by-step explanation:

Each value for y is can be divided by 6 for the value of x

Answer:

y=6x

Step-by-step explanation:

Find the area of the composite figure.​

Find the area of the composite figure.

Answers

The area of the composite figure is equal to 52 square units

How to calculate for the area of the figure

The composite figure can be observed to be made up of two congruent triangles, and a parallelogram, so we shall calculate for the areas of the three figures and then add the result to get the total area of the composite figure as follows:

area of the one congruent triangles = 1/2 × 8 units × 4 units

area of the one congruent triangles = 16 square units

area of the parallelogram = 5 units × 4 units

area of the parallelogram = 20 square units

total area of the composite figure = 16 square units+ 16 square units + 20 square units

total area of the composite figure = 52 square units

Therefore, the area of the composite figure is equal to 52 square units

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PLEASE HELP!!!
A. the function shown on the graph has a greater rate of change, but a lower starting point.
B. the function shown on the graph has a greater rate of change in a higher starting point.
C. the function shown on the graph has a smaller rate of change in a lower starting point.
D. the function shown on the graph has a smaller rated change, but a higher starting point. ​

PLEASE HELP!!!A. the function shown on the graph has a greater rate of change, but a lower starting point.

Answers

Answer:

It's A

Step-by-step explanation:

help??????????????????????????????

help??????????????????????????????

Answers

Answer: I think it is answer D

Step-by-step explanation: it is an educated guess with the math i did it is correct but im not sure

please mark brainliest

Answer:

C

Step-by-step explanation:

If shes driving at 65mph for 2 hours that means she has driven a total of 130 miles because for every hour she goes 65 miles hence the abbreviation m-p-h, miles-per-hour.

Using this knowledge we can apply the same process to her 4 hour flight going at 450 mph (450 x 4 = 1800).

Now that we know the two distances we then need to add them together to get the total miles Alicia has traveled.

1800 + 130 = 1930

Identifying and Solving Proportions
PLS ANY HELP!! thank you to whoever helps with question 6 <3

Answers

Answer:

Inez ran the mile in 5 minutes and 20 seconds

Great had the fastest time.

Her mile was faster by 20 seconds.

Step-by-step explanation:

Answer + method / explanation please​

Answer + method / explanation please

Answers

The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

What are vectors?

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

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Which of the following ordered pairs represents a reflection across the y-axis?
A
A (1, 5) to A' (1, -5)
B
A (-4, -5) to A' (4, -5)
C
A (2, 4) to A' (-2, -4)
D
A (-3, 3) to A' (-3, -3)

Answers

Answer:

letter D a(-3,3) to a'(-3,-3)

i hope it can help

Answer:

A

Step-by-step explanation:

it is because of the inverse is across y-axis.

but I feel that should be the answer.

The daily production cost, C, for x units is modeled by the equation: C = 200 – 7x 0. 345x2 Explain how to find the domain and range of C.

Answers

To find the domain and range of the function C = 200 - 7x + 0.345x^2, we need to consider the values that x can take and the corresponding values of C.

The domain of the function represents the set of all possible input values for x. In this case, since x represents the number of units, it should be a non-negative quantity. Therefore, the domain of the function is all real numbers greater than or equal to zero.

The range of the function represents the set of all possible output values for C. We can observe that the coefficient of the x^2 term is positive, which means that as x increases, the value of C will also increase. However, since the function is quadratic, it will have a maximum or minimum point. By analyzing the quadratic equation, we can determine that the parabola opens upward, indicating that the minimum value of C is attained when x is at its vertex. Thus, the range of the function is all real numbers greater than or equal to the minimum value of C at the vertex.

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Jen has collected information about the students in her class and the month they were born.

Which of the following statements would be true about this information?

It is both a relation and a function.
It is not a relation, but it is a function.
It is a relation but not a function.
It is neither a relation nor a function.

Answers

The true statement about this information is that: A. It is both a relation and a function.

What is a function?

A function can be defined as a mathematical expression which can be used to define and represent the relationship that exist between two or more variables in a population.

In this context, we can infer and logically deduce that the true statement about this information collected by Jen is that it's both a relation and a function because it indicates a relationship between two variables.

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Answer:

It is both a relation and a function.

Step-by-step explanation:

convert the force in parts b from newtons to pounds. (1 lb = 4.45n). what are the chances the driver will be able to stop the child?

Answers

Converting the force from newtons to pounds can help us determine the chances of a driver being able to stop a child. The conversion factor is 1 pound (lb) = 4.45 newtons (N).

To convert the force from newtons to pounds, we use the conversion factor of 1 lb = 4.45 N. If we have a force in newtons, we can divide it by 4.45 to obtain the equivalent force in pounds. For example, if the force is 20 N, we divide it by 4.45 to get approximately 4.49 lb.

Now, in order to assess the chances of the driver stopping the child, we need to consider various factors such as the mass and speed of the child, the friction between the driver's shoes and the ground, and the force applied by the driver. If the force applied by the driver, converted to pounds, is greater than or equal to the force exerted by the child, there is a higher chance of stopping the child.

However, it's important to note that other factors, such as the driver's reaction time and the coefficient of friction between the shoes and the ground, also play significant roles in determining the outcome. Thus, the chances of the driver stopping the child depend on a combination of these factors, making it essential to consider them comprehensively when evaluating the situation.

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4y^5-6y+8y^2-1 for y = -1

Answers

Answer:9

Step-by-step explanation:

Find two consecutive odd numbers such that seven times the smaller number is 17 more than six times the larger

Answers

Answer:

29 and 31

Step-by-step explanation:

Let

x = the first odd number

x + 2 = the second odd number

seven times the smaller number is 17 more than six times the larger

7*x = 17 + 6(x + 2)

7x = 17 + 6x + 12

Collect like terms

7x - 6x = 29

x = 29

x + 2 = 29 + 2

= 31

Check:

7*x = 17 + 6(x + 2)

7*29 = 17 + 6(29 + 2)

203 = 17 + 6(31)

203 = 17 + 186

203 = 203

Therefore, the two consecutive odd numbers are 29 and 31


What is the perimeter?

What is the perimeter?

Answers

Answer: 12km

Step-by-step explanation:

To find the missing side you need to use the formula a^2 + b^2 = c^2 where C is your hypotenuse.

So your formula would be 4^2 + 3^2 = c^2 ...

16 + 9 = c^2

25 = c^2 so square root both sides. Your missing side is 5km and then add all sides together to find your perimeter.

the perimeter is 12km

in statistical inference, measurements are made on a __________ and generalizations are made to a ______________

Answers

In statistical inference, measurements are made on a sample and generalizations are made to a population.

In statistical inference, a sample is a subset of the population that is being studied, and measurements are made on this sample. The goal of statistical inference is to make conclusions or generalizations about the population based on the measurements made on the sample.

By studying a representative sample of the population, statistical inferences can be made about the population as a whole. These inferences are made using various statistical methods and techniques, which are designed to estimate the characteristics of the population based on the information provided by the sample.

Statistical inference is an important aspect of data analysis and research, as it allows us to draw conclusions and make predictions based on a sample of data that can be generalized to the larger population. This is particularly useful when it is not feasible or practical to collect data from every individual in the population.

However, it is important to note that statistical inference is not without its limitations and potential sources of error, such as sampling bias, confounding variables, and random chance.

Therefore, it is essential to carefully consider the design and methodology of the study and to use appropriate statistical tests and techniques to ensure the accuracy and reliability of the findings.

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Consider the expression: !((x > y) && (y <= 0)). It is equivalent to which of the following expressions?
!(x > y) || !(y <= 0)
!(x > y) && !(y <= 0)
(x <= y) || (y > 0)
A)I only
B)II only
C)III only
D)I and III only
E)II and III only

Answers

The given expression is !((x > y) && (y <= 0)). By applying De Morgan's laws, we can simplify it to !(x > y) || !(y <= 0). This means that either (x > y) is false or (y <= 0) is false, or both. The correct answer is option a.

Among the provided options, only option A) I only matches the simplified expression. Options B) II only and E) II and III only do not match the simplified expression because they use the logical operator "&&" instead of "||". Option C) III only does not match because it uses different conditions, (x <= y) and (y > 0), instead of !(x > y) and !(y <= 0).

Therefore, the correct answer is A) I only, which means the equivalent expression is !(x > y) || !(y <= 0).

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One solution to a quadratic equation is 4 - 5i. Find the equation.

Answers

Answer:

The answer would be Equation B:

x2 - 8x + 41

Step-by-step explanation:

Find the surface area of the figure below. Round your answer to the nearest hundredth if necessary.
6 in
8 in
7 in
7 in
8 in
292 in

347 in
236 in?
Od
391 in

Find the surface area of the figure below. Round your answer to the nearest hundredth if necessary.6

Answers

Answer:

The surface area of the shape is 292 in^2

Step-by-step explanation:

Here, we want to find the surface area of the cuboidal shape

Mathematically, the area of a cuboid can be calculated using the formula;

A = 2(lb + lh + bh)

where l is the length which is 7 inches

b is the breadth which is 6 cm

h is the height which is 8 cm

Substituting these values, we have

A = 2((8 * 6) + (7 * 6) + (8 * 7))

A = 2(56 + 42 + 48)

A = 2 * 146

A = 292 in^2

It costs $15 to attend a golf clinic with a local pro. Buckets of balls for practice during the clinic cost $4 each. How many buckets can you buy at the clinic if you have $36 to spend? Show Your Work You have responded to 10 of 14 questions. Submit multidie submissions allowed​

Answers

Answer:

5 buckets

Step-by-step explanation:

If you have 36 dollars then you would subtract the amount it costs to get into the park:

$36 - $15 = $21

Then, you divide by 4 to see the maximum amount of buckets you can get:

$21/4 = 5 buckets that will be the maximum amount you can get

Justin has 50. Pictures in his album

Justin has 50. Pictures in his album

Answers

Answer:

im sorry i cant read that

Step-by-step explanation:

its to far away :(

i need help with this​

i need help with this

Answers

okay. so the constant of proportionality is -2.75, since you divide the feet dug (y) by the amount of hours it took (x). so, you would just divide -38.5 by -2.75 and get 14 hours.
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