The diameter of a circle is 23 inches. The circle has two chords of length 16 inches. What is the distance from each chord to the center of the​ circle?

Answers

Answer 1

The Distance between two chord of a given circle is \(8.26+8.260=16.52\) inches

Diameter = \(23\) inches (given)

Radius = \(11.5\) inches

\(2\) Chords of length = \(16\) inches ( You didn't specify if the \(16\) inches is for both chords or for a single chord. I'll assume it's for two cords \(16\) and \(16\) inches apart.

To clearly solve this, we'll make some mild assumptions.

Let the perpendicular distance of the chords from the center of the circle to represented as " x and y"

Therefore:

\(x^{2} +8^{2} = 11.5^{2} \\x^{2} + 64 = 132.25\\x^{2} = 132.25-64\\x^{2} = 68.52\\x = \sqrt{68.52} \\x= 8.26 inch\)

Since the cords have the same length (Assumed from the way the question was structured, the distance would still be the same)

\(y^{2} +8^{2} = 11.5^{2} \\y^{2} +64 = 132.25\\y^{2} = 132.25- 64\\y^{2} = 68.52\\y= \sqrt{68.52} \\y = 8.26 inch\)

Therefore, the distance will be :

\(8.26+8.26 =16.52 inches\)

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Related Questions

Find the product of 2.4 x 103 and 4.5 x 107. Write your answer in
scientific notation.

Answers

Expression 1: 2.472 * 10^2
Expression 2: 4.815 * 10^2

I just don’t know how to solve it

I just dont know how to solve it

Answers

Evaluated f(4) directly in photo


REMEMBER when you see a problem asking for solve for f(x) directly just substitute the value they gave you.
I just dont know how to solve it

Answer:

1594

Step-by-step explanation:

find the area. plzz help​

find the area. plzz help

Answers

The square has a side length of 9.

The area of the full square would be 9^2 = 9 x 9 = 81 square cm.

The area of the triangle is 1/2 x 4 x 3 = 6 square cm.

The area of the shape = 81 -6 = 75 square cm.

If S is a non-empty subset of R^n such that any linear combination of vectors in S is again a vector in S, then S is a subspace of R^n

Answers

Any non-empty subset of Rⁿ, where any linear combination of vectors in S is again a vector in S, is a subspace of Rⁿ.

Given that S is a non-empty subset of Rⁿ such that any linear combination of vectors in S is again a vector in S. Therefore, to prove that S is a subspace of Rⁿ, we have to show that S satisfies three conditions. These conditions are as follows;

The condition for being a subspace of Rⁿ

Firstly, a subspace must be closed under addition. In other words, if x and y are any two vectors in S, then their sum x + y must be in S.

Secondly, a subspace must be closed under scalar multiplication. In other words, if x is any vector in S and c is any scalar, then cx must be in S.

Finally, a subspace must contain the zero vector, denoted by 0.S is a subspace of Rⁿ

From the conditions mentioned above, we can show that S is indeed a subspace of Rⁿ, since S satisfies all the required conditions.

Therefore, we can say that any non-empty subset of Rⁿ, where any linear combination of vectors in S is again a vector in S, is a subspace of Rⁿ.

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An office needs 300 envelopes. If there are 30 envelopes in each box, how many boxes should the office buy?

Answers

Answer:

they should buy 10 boxes

Step-by-step explanation:

300/30 = 10

Which expression is equivalent to a^-x?

Answers

Here is the answer for you
Which expression is equivalent to a^-x?

7.005 is 1/10 of 70.55

Answers

Answer:

true if you mistyped it. 1/10 of it would be 7.055 not 7.005

The optimal number of responses for a given item on a measure should be between _____ to ensure appropriate sensitivity and flexibility of the measure. A. 1 and 4 B. 10 and 14 C. 15 and 20 D. 5 and 9

Answers

The optimal number of responses for a given item on a measure should be between 4 and 9 to ensure appropriate sensitivity and flexibility of the measure. That means option D is the correct answer.

A measure is a standardized test, survey, or assessment used to obtain data. It can refer to any evaluation instrument that obtains quantitative data and uses a set of rules for scoring.

In order to ensure that a measure is dependable, the number of responses for each item should be appropriate.

A measure's sensitivity and flexibility are affected by the number of responses.

In other words, to make certain that the data collected is both accurate and usable, the number of options or responses given for a question should be optimal.

Therefore, the optimal number of responses for a given item on a measure should be between 4 and 9 to ensure appropriate sensitivity and flexibility of the measure.

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The optimal amount of x1, x2, P1, P2 and income are given by the
following:
x1= 21/ 7p1 x2= 51 / 7p2
The original prices are: P1=10 P2=5 The original income is: I
=4189 The new price of P1 is the foll

Answers

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

According to Hunt et al., young people have ______________, or the ability to choose whether or not to use drugs.

Answers

According to Hunt et al., young people have agency, or the ability to choose whether or not to use drugs.

What is agency?

Agency refers to the capacity of individuals to make choices and take actions based on their own free will and personal autonomy. It implies that individuals, including young people, have the ability to exercise control over their decisions and behaviors, including the choice to engage in drug use or abstain from it.

According to Hunt et al., young people have agency, or the ability to choose whether or not to use drugs.

Hunt et al. suggest that young people possess agency in the context of drug use. This means that they have the cognitive and emotional ability to make decisions regarding drug use based on their own values, beliefs, and circumstances. It recognizes that young people are not passive recipients of external influences but rather active participants in shaping their own behaviors.

Acknowledging young people's agency regarding drug use is important for promoting a comprehensive and empowering approach to drug prevention and education. It emphasizes the significance of providing accurate information, fostering critical thinking skills, and promoting self-efficacy in young individuals. By recognizing their agency, interventions can focus on empowering young people to make informed and responsible choices about drug use, considering potential risks and consequences.

It is important to note that while agency acknowledges individuals' ability to make choices, it does not exist in isolation from other factors that can influence decision-making. Social, environmental, and systemic factors, such as peer pressure, socioeconomic conditions, and access to drugs, can shape and influence the choices available to young people. Recognizing agency does not negate the need for supportive environments, education, and effective prevention strategies to help young people navigate the complex landscape of drug use decisions.

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Which of the following statements for a simple graph is correct?a) Every path is a trailb) Every trail is a pathc) Every trail is a path as well as every path is a traild) Path and trail have no relation

Answers

Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.

In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.

Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.

Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.

Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.

Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.

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What set of reflections would carry triangle ABC onto itself?

What set of reflections would carry triangle ABC onto itself?

Answers

Answer:

B

Step-by-step explanation:

A is on the x axis

B is on the y axis

C is on the x axis

b, b is on the y axis

Sophie bought snacks for her team's practice. She bought a bag of chips for $2.49 anda 12-pack of juice bottles. The total cost before tax was $27.57. Write and solve anequation which can be used to determine x, how much each bottle of juice costs?

Answers

Cost of a bag of chips is $ 2.49.

The number of juice bottles is 12

The total cost is $ 27.57.

Let x be the cost of a juice bottle. Therefore we have,

\(2.49+12x=27.57\)

On solving, x can be calculated as,

\(\begin{gathered} 12x=27.57-2.49 \\ 12x=25.08 \\ x=\frac{25.08}{12}=2.09 \end{gathered}\)

Thus, the cost of each juice bottle is $2.09.

Multiply fraction 2/6 x 12/22

Answers

Use desmos cachlator or calculator soup

The exact form would be:

2 over 11

Decimal Form:

0.18

Heres an image

Multiply fraction 2/6 x 12/22

Which of the following constants can be added to x^2- 3x to form a perfect square trinomlal?
A. 2 1/4
B. 1 1/2
C. 4 1/2

Answers

Answer:

A 21/4

Step-by-step explanation:

When forming a perfect square trinomial you need to "complete the square".

All of the steps to completing the square when solving an equation:

1.  The leading coefficient must be 1.  

2.  Divide b by 2.

3.  Square (b/2)

4.  Add (b/2)^2 to both sides to keep the polynomial balanced.

5.  You can now write the perfect square trinomial and solve.

x^2 - 3x  

-3/2

(-3/2)^2 = 9/4 = 2 1/4

simplify the following without a calculator leave your answer with positive exponents


\((0.008) \frac{2}{3} \)

Answers

It would be simplified: 2/375

what independent variable in costello et al. (2003) was not manipulated by the research team?

Answers

In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.

The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.

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HELP ITS URGENT
Find the value of x.

HELP ITS URGENTFind the value of x.

Answers

Answer:

Step-by-step explanation:

Exterior angle property:

Exterior angle of a triangle equals the sum of  opposite interior angles

∠WBC = ∠D + ∠C

18x + 5 = 46 + 8x - 1

18x + 5  = 8x + 45  

Subtract 5 from both sides

18x = 8x + 45 -5

18x = 8x + 40

Subtract 8x from both sides

18x - 8x = 40

10x  = 40

Divide both sides by 10

x = 40/10

x = 4

A(2,1,2) binary convolutional error-correcting coder has G(D)=[
1+D+D
1




g
2




D+D
2



] A (2,1,2) binary convolutional error-correcting coder has G(D)=[1+D+D
2

D+D a) Draw the encoder circuit and its trellis diagram, and determine its minimum free a) Draw the encoder circuit and its trellis diagram, and determine its minimum distance. (7M) distance. Find the output sequence for the input sequence (10010). (8M) c) If the decoder receives the sequence S
r

=(10010001111110). Determine the decoded sequence using the Viterbi algorithm. (10M)

Answers

The decoded sequence should be determined using the Viterbi algorithm for the given received sequence Sr=(10010001111110).

Explain the tasks and requirements for a (2,1,2) binary convolutional error-correcting coder with G(D), including drawing the encoder circuit and trellis diagram, finding the minimum distance, obtaining the output sequence for a given input sequence, and decoding a received sequence using the Viterbi algorithm.

For a (2,1,2) binary convolutional error-correcting coder with generator polynomial G(D)=[1+D+D^2, D+D^2], perform the following tasks:

Draw the encoder circuit and its trellis diagram, and determine its minimum distance.

Find the output sequence for the input sequence (10010).

If the decoder receives the sequence Sr=(10010001111110), determine the decoded sequence using the Viterbi algorithm.

Provide an explanation in one paragraph.

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4.A trapezoid with a perimeter of 30 units is
graphed on a coordinate grid. The trapezoid is
dilated by a scale factor of 0.3 with the origin as the
center of dilation. If (x,y) represents the location of
any point on the original trapezoid, which ordered
pair represents the coordinates of the corresponding
point on the resulting trapezoid?
A. (30x, 30y)
B. (X - 0.3, y +0.3)
C. (0.3x, 0.3y)
D. (x + 0.3, y +0.3)

Answers

Answer:

It would be (x0.3,y0.3). C is the answer

Step-by-step explanation:

Because if you actually read it, it already gave you the answer which is the scale factor of 0.3

so that would lead to (x0.3,y0.3)

Find the area of the given region analytically. Common interior of r = 3 - 2 sine and r -3 + 2 sine

Answers

The area of region R is found to be 4 square units. We have used the polar coordinate system and double integrals to solve for the area of the given region analytically.

The region that we need to find the area for can be enclosed by two circles:

r = 3 - 2sinθ (let this be circle A)r = 3 + 2sinθ (let this be circle B)

We can use the polar coordinate system to solve this problem: let θ range from 0 to 2π. Then the region R is defined by the two curves:

R = {(r,θ)| 3+2sinθ ≤ r ≤ 3-2sinθ, 0 ≤ θ ≤ 2π}

So, we can use double integrals to solve for the area of R. The integral would be as follows:

∬R dA = ∫_0^(2π)∫_(3+2sinθ)^(3-2sinθ) r drdθ

In the above formula, we take the integral over the region R and dA refers to an area element of the polar coordinate system. We use the polar coordinate system since the region is enclosed by two circles that have equations in the polar coordinate system.

From here, we can simplify the integral:

∬R dA = ∫_0^(2π)∫_(3+2sinθ)^(3-2sinθ) r drdθ

= ∫_0^(2π) [1/2 r^2]_(3+2sinθ)^(3-2sinθ) dθ

= ∫_0^(2π) 1/2 [(3-2sinθ)^2 - (3+2sinθ)^2] dθ

= ∫_0^(2π) 1/2 [(-4sinθ)(2)] dθ

= ∫_0^(2π) [-4sinθ] dθ

= [-4cosθ]_(0)^(2π)

= 0 - (-4)

= 4

Therefore, we have used the polar coordinate system and double integrals to solve for the area of the given region analytically. The area of region R is found to be 4 square units.

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За – (-1) = -5
DegrfgddvfSbsbsbsbsbsbsbdbdbbdbd

Answers

Answer:

a = -2

Step-by-step explanation:

За – (-1) = -5

3a+1 = -5

3a=-6

a = -2

Answer:

3a-(-1)=-5

3a=5 +1

3a=6

a=6/3

a=2

Estimate to the nearest tenth. 108
10.1
O 10.4
O 10.8

Estimate to the nearest tenth. 10810.1O 10.4O 10.8

Answers

If you take the square root of 108 you’ll get 10.39 so the nearest tenth would be 10.4

If it helps the number stays the same if it’s under 5 and if it’s over five it goes up a number. For example if you have 34.62 it would just round to 34.6 but if you have 34.67 it would round to 34.7. It works with all decimal places.

Hope this helps

Answer:

My answer is

Step-by-step explanation:

10.8

I think it help you

I need help pls asap

I need help pls asap

Answers

Answer:

Step-by-step explanation:

first we are told that side and ae and a f are the same

so that means one side of each triangle is the same

next we are told that that the lines coming off of those sides are both right angles. so we know these are both right triangles

and b/c both of those angle are right angles... the sides ab and ac have to also be the same length.. or the angle could not be a right angle

therefore since two sides are the same length then all 3 must be the same lengths

and b/c all three are the same these two triangles are the same .. congruent

NOTE: For All Calculations In This Lab, Use The Approximation Of 62,500 Inches To The Mile When Necessary. ALWAY

Answers

By using the approximation of 62,500 inches to the mile, you can simplify and expedite various calculations involving distances and conversions between inches and miles, providing a convenient tool for numerical analysis and problem-solving

The approximation of 62,500 inches to the mile is commonly used in various calculations, especially in scenarios where conversions between inches and miles are involved. This approximation simplifies the conversion process and allows for easier calculations.

For example, if you need to convert a distance from miles to inches, you can simply multiply the number of miles by 62,500 to obtain the equivalent distance in inches. Conversely, if you have a measurement in inches and want to convert it to miles, you divide the number of inches by 62,500 to get the distance in miles.

Additionally, this approximation can be useful in other applications, such as determining the number of inches in a given number of miles, or calculating the length of a specific distance in miles based on its measurement in inches.

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.

Using the weighted average approach to process costing, floridyne would use what number of equivalent units in 2019 to calculate the cost per equivalent unit for direct labor?

Answers

Floridyne would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

How do we get the equivalent unit labor?

Under weighted average, we do not make distinction between started and finished and just finished. Thus we work with finished and ending WIP only:

Finished         162,000

Ending - WIP    6,200 ending at 70% complete

Equivalent units for labor = Finished + Percentage of completion ending units

= 162,000 + 6,200 x 70%

= 166,340

Therefore, he would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

Missing word "Floridyne, Inc. manufactures mouthwash. They had no finished goods inventory at the beginning of 2019. They have only one processing department for this product. A review of the company’s inventory records shows the following: At the beginning of January 2019, Floridyne has 4,500 gallons of mouthwash in process. (costs $8,410 for materials, 1,663 for labor and 4,990 for overhead) During 2019, Floridyne finishes/transfers 162,000 gallons of mouthwash. On December 31, 2019, Floridyne has 6,200 gallons of mouthwash that is 70% complete. Direct materials are added half at the beginning of the process and half after the process is 60% complete. During 2019 $349,000 of direct materials and $92,500 of direct labor were added. Using the weighted average approach to process costing,"

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PLEASE HELP! will add brainliest. The answer is not 40

Answers

Answer:

42

Step-by-step explanation:

42 is the answer to the universe and everything in it.

Let R be the region in the fourth quadrant enclosed by the x-axis and the curve y=x²-2kx, where k is a constant. If the area of the region R is 36, then the value of k is
a)-3
b)3
c)4
d) 6

Answers

To solve this problem, we need to find the x-values where the curve intersects the x-axis, which occurs when y=0.
0=x²-2kx ,We can factor out an x: 0=x(x-2k) .So the x-intercepts are at x=0 and x=2k.

To find the value of k, we need to follow these steps:

Step 1: Find the points of intersection between the curve y = x^2 - 2kx and the x-axis.
To do this, set y = 0:
0 = x^2 - 2kx
x(x - 2k) = 0

This means that the curve intersects the x-axis at x = 0 and x = 2k.

Step 2: Determine the limits of integration.
Since we are looking for the region in the fourth quadrant, we will have limits 0 and 2k for our integration.

Step 3: Calculate the area using integration.
Area = ∫[0 to 2k] (x^2 - 2kx) dx

Step 4: Solve the integral.
Area = [1/3x^3 - kx^2] evaluated from 0 to 2k
Area = (1/3(2k)^3 - k(2k)^2) - (1/3(0)^3 - k(0)^2)
Area = (8k^3/3 - 4k^3)

Step 5: Set the area equal to 36 and solve for k.
36 = 8k^3/3 - 4k^3
36 = (8k^3 - 12k^3)/3
36 = -4k^3/3

Now, multiply both sides by 3 and divide by -4:
-108/-4 = k^3
27 = k^3

Take the cube root of both sides:
k = 3

The value of k is 3 (Option b).

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A coach buys a uniform and basketball for each of the 15 players on the team. Each
basketball cost $9.50. The coach spends a total of $450 for uniforms and basketballs.
What is the cost, in dollars, of each uniform?
$

Answers


Uniforms: $20.5

450 divided by 15 = 30
Each person on the basketball team got $30 worth of stuff.
If the basketball cost $9.50: 30-9.50=20.5
This means that each of the uniforms are $20.5

Hope this helps! Have a great day :)

In 8 hours, workers fill 960 bottles of cold drinks. How many bottles will be filled in 6 hours? Pls give step by step explanation

Answers

Answer:

In six hours workers will filled 720 bottles

Step-by-step explanation:

Data :

 Time = T = 8 hours

 In 8 h fill = 960 bottles

First we need to how many bottles worker fills in  1 hour

So       960/8 = 120

In 1 hour workers filled 120 bottle

Now for six hours

      120 × 6 = 720

Answer:

720 bottles

Step-by-step explanation: 8 h=960

1 h=960 bottles divided by 8 therefore you will have 120 bottles for one hour.

6 h= 120 bottles x 6= 720 bottles

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