Question Find the area of the sector of a circle of radius 14 units subtended by an angle of 80°. Round your answer to the ne tenth, and do not include the units in your answer. Provide your answer below: Question On a circle with radius 12m, what angle would subtend an arc with a length of 7m? Give your answer in degrees, rounded to the nearest hundredth. In your answer, just enter the number - do not include theta =" or the degrees symbol in your response.
Provide your answer below

Answer:

vertically opposite angle6×+8 answers is

The circumference of a circle with radius r is given by:

The area of a circle with raidus r is given by:

Then for a cirlce of radius 7ft we have a circumference of:

And an area of:

Then the answers are:

Circumference: 43.96ft

Area: 153.86ft²

Answer:

Option (A)

Step-by-step explanation:

Let the Sine of the given angle θ is,

Sinθ = \(\frac{x}{y}\)

Then θ = \(\text{Sin}^{-1}(\frac{x}{y} )\)

From the given values in the question,

Sinθ = \(\frac{7}{29}\)

θ = \(\text{Sin}^{-1}(\frac{7}{29} )\)

θ = 13.97°

Therefore, measure of the angle 'θ' will be 13.97°.

Option (A) will be the answer.

The 98% confidence interval of 93 course evaluation the estimation of the population standard deviation is (0.454, 0.681). For 93 professor evaluations, it is (0.318, 0.457). The course evaluations have a wider interval, indicating more variability compared to professor evaluations.

The construction of 98% confidence interval from which the 93 course evaluations were obtained, by using the formula

Confidence interval = (√((n-1)*s²)/√(chi-square upper)-√((n-1)*s²)/√(chi-square lower)),

where n is the sample size, s is the sample standard deviation, and chi-square upper and chi-square lower are the values from the chi-square distribution table with degrees of freedom (df) equal to n-1 and a cumulative probability of 0.99/2 = 0.495.

Using the given data, we have n = 93 and s = 0.56. From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.

putting the values in the formula, we get

Confidence interval = (√((93-1)*0.56²)/√(67.339)-√((93-1)*0.56²)/√(49.645))

Confidence interval = (0.454, 0.681)

Therefore, we are 98% confident that the standard deviation of the population from which the 93 course evaluations were obtained falls within the interval (0.454, 0.681).

To construct a 98% confidence interval estimate of the standard deviation of the population from which the 93 professor evaluations were obtained, we can use the same formula as in above part, but with n = 93 and s = 0.41 (the sample standard deviation for professor evaluations).

From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.

putting the values in the formula, we get

Confidence interval = (√((93-1)*0.41²)/√(67.339)-√((93-1)*0.41²)/√(49.645))

Confidence interval = (0.318, 0.457)

Therefore, we are 98% confident that the standard deviation of the population from which the 93 professor evaluations were obtained falls within the interval (0.318, 0.457).

Comparing the results from other parts, we can see that the confidence interval for the standard deviation of the population from which the course evaluations were obtained is wider than that for the population from which the professor evaluations were obtained. This suggests that there is more variability in the course evaluations than in the professor evaluations.

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Answer:

x=7 so we could make an expression like; 2x=14

Mario has 3,628,800 different ways to arrange the 10 science fiction novels on his shelf.

When we want to arrange a set of n distinct objects in a row, the number of possible arrangements is given by n factorial, or n!, which is the product of all positive integers from 1 to n. In other words, n! = n x (n-1) x (n-2) x ... x 3 x 2 x 1.

In this case, Mario has 10 science fiction novels that he wants to arrange on a shelf, and each of these novels is distinct. Therefore, there are 10 possible choices for the first book he places on the shelf. Once he has placed the first book, there are only 9 remaining books to choose from for the second position. For the third position, there are 8 remaining books to choose from, and so on. Therefore, the total number of possible arrangements of the 10 books is:

10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3,628,800.

Therefore, Mario has 3,628,800 different ways to arrange the 10 science fiction novels on his shelf.

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Answer:

Yes they are equal. Hkama d d jans ans

Answer:

about 471 cubic centimeters of salsa are missing from the jar

Step-by-step explanation:

Answer: Food surpluses led to population growth.

Step-by-step explanation:

Food surpluses led to population growth.

Answer:

110260

Step-by-step explanation:

The correct option, for the sum of the series is

d. its sum is 1/10

To find the sum of the series Σ 1 / (n+9)(n+10), we can rewrite it as follows:

Σ 1 / (n+9)(n+10) * 1(n + 9) = Σ (1 / (n+9)) - (1 / (n+10))  * 1(n + 9)

Now, let's evaluate the terms of the series:

When n = 0:

Term 1: 1 / (0+9) = 1/9

Term 2: 1 / (0+10) = 1/10

Term 3:  1(0 + 9) = 9

Therefore, the sum of the series when n = 0 is:

(1/9 - 1/10) * 9 = 1/90 * 9

So, the sum of the series when n = 0 is 1/10.

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Answer:

  A: $5, $2.50; $2.50 per pound

  B: 0.4 lb, 3.6 lb; 0.4 lb per dollar

Step-by-step explanation:

These tables are intended to represent proportional relationships. That means a couple of things:

We can use the second fact to fill these tables quickly.

__

In the first table, the numbers in each column will be half the numbers in the column to its left.

It is convenient to use the column with a weight of 1 to find the multiplier: $2.50 per pound.

__

In the second table, the numbers in the second column will be 1/10 of those in the first column. The third column will be 9 times the second column.

Again, the multiplier is conveniently found where the cost is $1. It is 0.4 pounds per dollar.

_____

Additional comment

You may notice that the first column is the same in each table. That is $2.50 per pound and 0.4 lb/dollar represent the same relationship.

The two column proof showing that m∠5 + m∠2 + m∠6 = 180°  is as detailed below.

A two-column proof is defined as geometric proof that consists of a list of statements, and then the reasons that we know those statements are true.

Thus, the two column proof is;

Statement 1: y || z

Reason 1: Given

Statement 2: m∠1 + m∠2 + m∠3 = m∠LAM

Reason 2: Angle addition postulate

Statement 3: m∠1 + m∠2 + m∠3 = 180°

Reason 3: definition of straight angle

Statement 4: ∠1 ≅ ∠5

Reason 4: Alternate interior angles theorem

Statement 5: ∠3 ≅ ∠6

Reason 5: Alternate interior angles theorem

Statement 6: m∠1 ≅ m∠5

Reason 6: Definition of ≅(congruency)

Statement 7: ∠3 ≅ ∠6

Reason 7: Definition of ≅(congruency)

Statement 8: m∠5 + m∠2 + m∠6 = 180°

Reason 8: substitution

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Answer:

check picture ..
edge 2023

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Answer:

53+2(32)+3-10

Step-by-step explanation:

you can't move the 32 from 2(32)

Answer:

B

Step-by-step explanation:

4-(-2)= 4+2=6

We are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

The point estimate for the difference in proportions between France and the United States is:

p₁ - p₂ = (60/120) - (26/50) = 0.5 - 0.52 = -0.02

We can use the following formula to calculate the standard error of the difference in proportions:

SE = √(p₁ * (1 - p₁) / n₁ + p₂ * (1 - p₂) / n₂)

where n₁ and n₂ are the sample sizes.

SE = √((0.5 * 0.5 / 120) + (0.52 * 0.48 / 50))

SE = 0.0936

To construct a 90% confidence interval, we can use the formula:

(point estimate) ± (critical value) * (standard error)

The critical value for a two-sided 90% confidence interval with 169 degrees of freedom (calculated as df = (p₁ * n₁ + p₂ * n₂) / (p₁ + p₂)) can be found using a t-distribution table or calculator.

For a 90% confidence level, the critical value is approximately 1.656.

Using these values, the 90% confidence interval for the difference in proportions is:

-0.02 ± 1.656 * 0.0936

which simplifies to:

-0.1783 to 0.1383

Therefore, we are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.

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Based on the amount deposited and the interest rate as well as period, she will have $463.75.

Simple interest means that the same interest amount is applied over the entire period of investment.

When using simple interest, you can find the amount as:

= Amount x ( 1 + rate x time)

Solving gives:

= 350 x ( 1 + 6.5% x 5)

= $463.75

In conclusion, she will have $463.75.

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the answer for your question is B

Answer:

c

Step-by-step explanation:

Answer:

the size of the angel is 51

Step-by-step explanation:

The size of the angle is 52 p

The correct option is d) mathematical

What is a technical system model?

A mathematical model is a set of equations or algorithms that represent technical aspects of a system. These equations or algorithms are used to predict or simulate system behavior and performance. Mathematical models are often used in engineering, science, economics, and other fields where complex systems need to be analyzed and optimized. For example, a mathematical model could be used to analyze how a communication network would perform with different levels of traffic or to predict how a chemical reaction would proceed under various conditions. Mathematical models are often represented graphically to provide a clear visualization of the complex relationships between variables within a system. Overall, mathematical models are an essential tool for designing, optimizing, and managing complex systems.

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Answer:

thanks

Step-by-step explanation:

I have been patient trying to get a job

Let's consider all the trig identities, to help us with the problem:

   ⇒ (look at the attached image for help with that)

After looking at all the trig identity, let's look at the problem given to us:

 ⇒ cos(θ) = \(\frac{5}{13}\)

    ⇒ we know that sec(θ) = 1 / cos(θ) = 1 / (5/13) = 13/5

Thus: sec(θ) = 13/5, which just so happens to be Choice (D)

Answer: sec(θ) = 13/5 or Choice (D)

Hope that helps!

Answer:

the correct option is A

Step-by-step explanation:

things you have to remember is no more than 30 haircuts. so b is already eliminated.

do 15 because that's the amount of $$ it is for one adult haircut. 15 x 25 is 375. and need At least $360.

The point that could represent the numbers of adults and child haircuts that meet the stylist goals is 25, 0.

Since the hairstylist change $15 for an adult haircut and $9 for a child haircut, then using 25, 0 will be:

= 15(25) + 9(0)

= 375 + 0

= $375

Therefore, she has earned at least 360 dollars and cut about 25 haircuts this week.

In conclusion, the correct option is A.

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To make an equation for Mateo's money, let's assign variables to the number of loonies and toonies he has. So, the equation is 1x + 2y = 32

Let's say Mateo has x loonies and y toonies. Since each loonie is worth $1 and each toonie is worth $2, we can write the equation: 1x + 2y = 32

In this equation, 1x represents the value of the loonies (x loonies * $1/loonie) and 2y represents the value of the toonies (y toonies * $2/toonie). The sum of these values should equal $32. Now, Mateo can solve this equation to find the values of x and y that satisfy it.

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Answer:

I think it would be 5/7

Explanation:

The question states "The hunter's dog recovered 5/7 of the ducks.", so I am guessing it would be 5/7

Hope this helps :)

Answer:

5 Ducks

Step-by-step explanation:

It is given that there were 7 ducks and 7 of those were shot in total. 7/7

It is also given that the dog retrieved 5/7 of them.

So, 7/7-5/7=2/7

2 ducks were not recovered, and 5 were

Hope I helped

Answer:

(a)∠1 and ∠6.

(b)∠5 and ∠6.

(c)∠3 and ∠4.

Explanation:

(a)Vertical Angles are angles that form an X-Shape.

A pair of vertical angles is ∠1 and ∠6.

(b)Linear pairs are two angles on a straight line that adds up to 180 degrees.

A linear pair is ∠5 and ∠6.

(c)A pair of supplementary angles are two angles that add up to 180 degrees.

An example is ∠3 and ∠4.