A room is 12cm long, 7cm wide and
4cm high find the area
the ceiling​

The answer is (1) 2 slices from a medium pizza and 1 slice from a large pizza will give you a total  15.125π² inches of pizza. (2) the measure of arc ADC is also 60° degrees. (3) the measure of angle D is -377 + 3x° degrees (4) the center and radius of the new similar circle are (5, 5) and 10 units. (5) this answer explanation is given below.

The radius of  circle is  line segment that extends from center of  circle to any point on  circle's circumference. It is distance from  center of  circle to any point on circle's circumference. The radius is a key element in defining a circle, as it is used to determine the circle's circumference, area, diameter, and other properties.

(1). To determine how much pizza you would like to eat, you need to choose the size and number of slices. Let's say you want to eat 3 slices in total, and you decide to have 2 slices from a medium pizza and 1 slice from a large pizza. The area of one slice of a medium pizza is:

radius = diameter/2 = 12/2 =6 inches

area = π * radius² =  π* 6² = 36π² inches

area per slice = (36π) / 8 = 4.5π² inches

So, 2 slices from a medium pizza will give you 2 * 4.5π = 9π² inches of pizza.

The area of one slice of a large pizza is:

radius = diameter / 2 = 14 / 2 = 7 inches

area = π * radius² =π * 7² = 49π² inches

area per slice = (49π) / 8 = 6.125π² inches

So, 1 slice from a large pizza will give you 6.125π²  inches of pizza.

Therefore, 2 slices from a medium pizza and 1 slice from a large pizza will give you a total of 9π + 6.125π = 15.125π²  inches of pizza.

(2) . Let's choose angle ADC to be 60° degrees. Since angle ADC is an inscribed angle that intercepts arc ADC, the measure of arc ADC is also 60° degrees.

(3) . Since ABCD is an inscribed quadrilateral, the sum of opposite angles is equal to 180° degrees. Therefore, we have:

Angle A + Angle C = 180° degrees

Substituting the given values, we get:

Angle A + (x - 5) = 180° degrees

Solving for angle A, we get:

Angle A = 185 - x

Now, we can find angle B by substituting this value of angle A in the equation given in the problem:

Angle B = 3x + 2

Angle B = 3(185 - x) + 2

Angle B = 555 - 3x + 2

Angle B = 557 - 3x

Finally, we can find angle D by using the fact that the sum of the angles in a quadrilateral is 360° degrees. Therefore, we have:

Angle D =360 -Angle A -Angle B -Angle C

Substituting the values we have found, we will get:

Angle D = 360 - (185 - x) - (557 - 3x) - (x - 5)

Angle D = 360 - 185 + x - 557 + 3x - x + 5

Angle D = -377 + 3x

Therefore, the measure of angle D is -377 + 3x° degrees, where x is the value chosen for angle C. Note that angle D cannot be negative, so we need to choose a value of x such that 3x - 377 is greater than or equal to 0.

(4) . Let's choose the center of the first circle to be (3, 4) and its radius to be 5 units.

To produce a similar but not congruent circle, we can apply a translation and dilation as follows:

Translation: (2, 1)

Dilation: 2

This means that we first translate the center of the original circle by (2, 1) units to get the new center. Then we dilate the circle with a scale factor of 2 to get the new circle.

The center of the new circle can be found as follows:

New center = (3, 4) + (2, 1) = (5, 5)

The radius of the new circle can be found by multiplying the radius of the original circle by the scale factor:

New radius = 5 x 2 = 10 units.

Therefore, the center and radius of the new similar circle are (5, 5) and 10 units, respectively.

(5) . I can describe the labeled parts of a circle for you:

Center: The point in the middle of the circle, equidistant from all points on the circle.

Radius: The distance from the center to any point on the circle.

Diameter: A chord that passes through the center of the circle, and is equal to twice the radius.

Chord: A line segment connecting any two points on the circle.

Tangent: A line that touches the circle at exactly one point, called the point of tangency.

Secant: A line that intersects the circle at two points.

Central angle: An angle with its vertex at the center of the circle, formed by two radii.

Inscribed angle: An angle formed by two chords, with its vertex on the circle.

Major arc: An arc that is greater than 180° degrees, created by two radii or a chord and an arc.

Minor arc: An arc that is less than 180° degrees, created by two radii or a chord and an arc.

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The probability of winning at least once if you bet red three times in a row is 1 -\((19/37)^3\) ≈ 0.4565 or approximately 45.65%.

To find the probability of winning if you bet red, we need to determine the ratio of favorable outcomes (red pockets) to the total number of possible outcomes.

The probability of winning on a single spin by betting on red is 18/37, as there are 18 red pockets out of a total of 37 pockets.

Now, let's consider the probability of winning at least once if you bet red three times in a row. This is equivalent to finding the probability of winning on at least one of the three spins.

To calculate this probability, we can find the complementary probability of losing all three times and subtract it from 1.

The probability of losing on a single spin by betting on red is 19/37, as there are 19 non-red pockets (18 black and 1 green) out of a total of 37 pockets.

The probability of losing all three times is (19/37) * (19/37) * (19/37) = (19/37)^3.

Therefore, the probability of winning at least once if you bet red three times in a row is 1 - (19/37)^3 ≈ 0.4565 or approximately 45.65%.

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Answer:

4/5x is your slope and 8 is your y intercept

Step-by-step explanation:

Answer:

$127

Step-by-step explanation:

interest = (100)(0.09)(3) = $27

total = principal amount + interest

total = 100 + 9 = $127

We want to create a real-life reasonable problem in which we can apply the laws of exponents.

Using a compound interest example;

Word Problem:

Calculate the final value of a $2,000 investment in an account with a 5% interest compounded Quarterly for 5 years.

Solving the word problem;

We have the following parameters;

Recall that the formula for compound interest is;

Substituting the given values;

Therefore, the solution to the problem is;

The final

Answer:

(4,-1)

Step-by-step explanation:

Current B Co-ordinate: (3, -4)

When you increase the y-value of the B Co-ordinate by 3, you get it as -1.

When you increase the x-value of the B Co-ordinate by 1, you get it as 4.

Hence, the B Co-ordinate after translation is (4,-1)

Feel free to mark this as brainliest! :D

The seventh exam result, based on the provided statement, is 88.

The aggregate of all values split by the total amount of values determines the mean (also known as the arithmetic mean, which differs from the geometric imply) of a dataset. The term "average" is frequently used to describe this gauge of central trend.

To find the 7th test score, we can use the formula for the mean of a set of numbers:

Mean = (sum all the numbers) / (number)

We know that the mean of the 7 test scores is 85, so we can plug in the given values and solve for the missing number:

85 = (75 + 82 + 82 + 83 + 90 + 95 + x) / 7

Multiplying both sides by 7, we get:

595 = 507 + x

Subtracting 507 from both sides, we get:

x = 88

Therefore, the 7th test score is 88.

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(a). At α = .05, we reject the null hypothesis and conclude that people who fly frequently are more likely to be able to sleep during flights.

(b). At α = .01, we fail to reject the null hypothesis and do not have sufficient evidence to conclude that people who fly frequently are more likely to be able to sleep during flights.

a. Hypothesis test at α = .05:

Null hypothesis (H0): The proportion of people who can sleep during flights is the same for those who fly frequently and the general population.

Alternative hypothesis (Ha): The proportion of people who can sleep during flights is higher for those who fly frequently.

To conduct the hypothesis test, we can use the z-test for comparing proportions.

Sample proportion of frequent flyers who can sleep: p1 = 285/510

= 0.5588

Proportion of Americans who can sleep during flights (from Expedia): p2 = 0.52

The formula for the test statistic (z) is:

z = (p1 - p2) / \(\sqrt{}\)((p1 × (1 - p1) / n1) + (p2 × (1 - p2) / n2))

Where n1 = sample size of frequent flyers = 510

n2 = sample size from Expedia = unknown (since we only have the proportion)

Since the null hypothesis states that the proportions are the same, we can assume n1 = n2.

Calculating the test statistic:

z = (0.5588 - 0.52) / \(\sqrt{}\)((0.5588 × (1 - 0.5588) / 510) + (0.52 × (1 - 0.52) / 510))

z ≈ 1.775

Using a standard normal distribution table or a calculator, we find that the critical z-value at α = .05 (one-tailed test) is approximately 1.645.

Since the test statistic (1.775) is greater than the critical value (1.645), we reject the null hypothesis.

B) Hypothesis test at α = .01:

Using the same setup as in part (a), we can calculate the test statistic:

z ≈ 1.775

The critical z-value at α = .01 (one-tailed test) is approximately 2.326.

Since the test statistic (1.775) is less than the critical value (2.326), we fail to reject the null hypothesis.

Conclusion: A). At α = .05, we reject the null hypothesis and conclude that people who fly frequently are more likely to be able to sleep during flights.

B). At α = .01, we fail to reject the null hypothesis and do not have sufficient evidence to conclude that people who fly frequently are more likely to be able to sleep during flights.

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The complete question is-

Sleeping on Flights. According to Expedia, 52% of Americans report that they generally can sleep during flights. Are people who fly frequently more likely to be able to sleep during flights? Suppose we have a random sample of 510 individuals who flew at least 25,000 miles last year and 285 indicated that they were able to sleep during flights.

a. Conduct a hypothesis test to determine if the results justify concluding that people who fly frequently are more likely to be able to sleep during flights. Use α = .05.

b. Conduct the same hypothesis test you performed in (a) at α = .01. What is your conclusion?

The question states that Michelle and her friends plan to purchase the group package, which costs $84 for 7 people. They mention that the cost of group package is $4 less per person than the normal cost for an individual.

So, to find out the normal cost, we can use the following equation: Normal cost per person = Cost of group package / Number of people in the group package + $4From the information given in the question, we can plug in the values for cost of the group package and the number of people in the group package to calculate the normal cost.

We have, Cost of group package = $84Number of people in the group package = 7Plugging these values into the equation, we get Normal cost per person = $84/7 + $4Simplifying this, we get: Normal cost per person = $12

Therefore, the normal cost for an individual is $12. To check our answer, we can verify that if we multiply the normal cost of $12 by the number of people in the group package, which is 7, we get the cost of the group package:

The normal cost per person = $12Cost of group package = Normal cost per person × Number of people in the group package= $12 × 7 = $84As expected, we get the same cost of the group package that was given in the question. Therefore, our answer is correct.

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Answer: 7( x - 4) = 84

Step-by-step explanation:

There are 7 people in Michelle's group. The Jitter Jungle Adventure Park charges x dollars for an individual, but the group rate is $4 less per person. So, the cost per person is x–4 dollars. Michelle's group will pay a total of $84.  The equation 7(x–4)=84 can be used to find the normal cost for an individual.

Answer: He can play 6 games

Step-by-step explanation:

40-10 = 30

30- 12 = 18

18- 8.50 = 9.50

9.50 divided by 1.50 = 6.3

Answer:

y = - 4 (x+ 1)^2 - 5 in standard form is

y = -4x^2 - 8x - 9

Answer:

4x^2 − 8x + 9

The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.

The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.

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The correct option is B: V = π ∫[0,2] ((y + 2)/2 - 1)^2 dy

This integral will give us the Volume of the solid generated when region R is revolved about the vertical line x = 1.

The volume of the solid generated when region R is revolved about the vertical line x = 1, we can use the method of cylindrical shells.

The formula for the volume of a solid generated by revolving a region R about a vertical line is given by:

V = 2π ∫[a,b] x * f(x) dx

In this case, since we are revolving the region R about the vertical line x = 1, the limits of integration will be from y = 2 (where the horizontal line y = 2 intersects the graph y = 2x - 2) to y = 0 (where the graph y = 2x - 2 intersects the x-axis).

Let's analyze the options provided:

A. π ∫[1,2] ((y + 2)/2 - 1)^2 dy

B. π ∫[0,2] ((y + 2)/2 - 1)^2 dy

C. π ∫[1,2] (2 - (2x - 2))^2 dy

D. π ∫[0,2] ((y + 2)/2)^2 - 1^2 dy

Option A: The limits of integration are incorrect. We need to integrate with respect to y, not x.

Option B: This appears to be the correct integral setup, integrating with respect to y and using the correct limits of integration.

Option C: This option incorrectly uses the expression (2 - (2x - 2))^2, which doesn't match the function y = 2x - 2.

Option D: The limits of integration are incorrect. We need to integrate from y = 2 to y = 0.

Therefore, the correct option is B:

V = π ∫[0,2] ((y + 2)/2 - 1)^2 dy

This integral will give us the volume of the solid generated when region R is revolved about the vertical line x = 1.

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Greetings from Brasil...

We need to use the Cosine Law in Any Triangle, so we can use Heron's formula.

AC² = AB² + BC² - 2.AB.BC.COS B

AC² = 11² + 9² - 2.11.9.COS 63

AC ≈ 10,63

Heron's Formula:

Area = √[P.(P - AB).(P - BC).(P - AC)]

where P = (AB + BC + AC)/2

P = (11 + 9 + 10,63)/2 ⇒ P ≈ 15,31

Area = √[15,31.(15,31 - 11).(15,31 - 9).(15,31 - 10,63)]

The number in which the value of 3 is 3-1/100 is 345. The correct option is a.

The given number is 43,781.

The value of the 3 in 43,781 is 3,000.

The value of 3-1/100 is 2.99.

We are supposed to find out in which number 2.99 is the value of the 3 in 43,781.

Given options are:

a. 345

b. 237,895

c. 5,732

We'll calculate the values of 3-1/100 in each option.

a. The value of 3-1/100 in 345 is 2.99.

So, the correct option is a.

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The fish population has been increasing over 10 years giving a total of 10094 as a result. We are asked to find the initial population of fish.

So we write the expression for popukation increase:

where No is the initial population, and what we want to find, while N(t) is the current population (10094) and the exponent (t) is the equivalent to ten year units (so we use "1"). The rate is 3% per ten years, and this in decimal form is 0.03.

We solve for No in the equation by dividing bby 1.03, which gives us:

No= 10094 / 1.03 = 9800

Therefore, one has to select the option 10094 divided by 1.03, (typed as 10094 : 1.03), and also the numerical answer 9800 (first option)

When the parameter estimates for a Likert scale question on a scale of 1-5 for preferring unusual desserts is 4.42 to 4.66 with a confidence level of 95%, it means that there is a 95% chance that the true population mean falls between the estimated range.

A Likert scale is a form of survey or questionnaire that gauges people's attitudes or perceptions about a certain topic. It's a rating scale that typically includes a series of items or questions to which the respondents respond. The Likert scale is a five-point scale in which respondents indicate their level of agreement or disagreement with a statement, question, or prompt. The scale ranges from one to five, with one indicating a low level of agreement and five indicating a high level of agreement.

A confidence interval is a range of values that is highly likely to include the true population means of the parameter being measured based on the sample statistic. It is a measure of the precision of the sample estimate of the true population parameter. In this situation, the estimated range of 4.42 to 4.66 implies that there is a 95% chance that the true population means for preferring unusual desserts is within this range.

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Answer:

you can't really determine how much letters equal if there is not an equation but it represents variables that stand for integers  

Step-by-step explanation:

hope this helps have a good rest of your night :) ❤

Answer:

1 1/35 as a mixed number, exact answer is 36/35

The time taken by both to mow the lawn is 36 minutes.

This is a question of time and work.

It is given that:-

Time taken by boy to mow the loan = 90 minutes.

Time taken by girl to mow the loan = 60 minutes.

We have to find the time taken by both of them together to mow the lawn.

LCM(60,90) = 180

Let the total work to be done to mow the lawn be 180 units.

Hence,

Efficiency of boy = 180/90 = 2 units

Efficiency of girl = 180/60 = 3 units

Total efficiency = 2 + 3 = 5 units.

Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.

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Answer:

2x - 3

Step-by-step explanation:

10x²-23x+ 12 ÷ 5x-4

Answer:

2x - 3

Step-by-step explanation:

\((5x-4)(2x-3)=10x^{2} -23x+12\)

Hope this helps

Answer:

Hey there

It is 60466176

Answer:

60,466,176

Step-by-step explanation:

6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6

Answer:

Step-by-step explanation:

The Answer would be -4x

Because 3-7= -4

The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ x² + 2x + 1

Factorize the expression, then the factor of the expression will be

⇒ x² + x +  x + 1

⇒ x(x + 1)x + 1(x + 1)

⇒ (x + 1)(x + 1)

⇒ (x + 1)²

The product of two binomials will be (x + 1) and (x + 1).

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The confidence interval in both cases has been constructed as:

a) (26.02, 29.98)

b) (120.17, 127.83)

The formula to calculate the confidence interval is:

CI = xˉ ± z(σ/√n)

where:

xˉ is sample mean

σ is standard deviation

n is sample size

z is z-score at confidence level

a) xˉ = 28

σ = 4

n = 11

90 percentage confidence.

z at 90% CL = 1.645

Thus:

CI = 28 ± 1.645(4/√11)

CI = 28 ± 1.98

CI = (26.02, 29.98)

b) xˉ = 124

σ = 8

n = 29

90 percentage confidence.

z at 99% CL = 2.576

Thus:

CI = 124 ± 2.576(8/√29)

CI = 124 ± 3.83

CI = (120.17, 127.83)

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The direction of the resultant vector is approximately -68.75°.

To find the direction of the resultant vector, we can use the formula:

θ = arctan(Vy/Vx)

where Vy is the vertical component (y-coordinate) of the vector and Vx is the horizontal component (x-coordinate) of the vector.

In this case, we have a resultant vector with components Vx = -6 and Vy = 16.

θ = arctan(16/-6)

Using a calculator or trigonometric table, we can find the arctan of -16/6 to determine the angle in radians.

θ ≈ -1.2039 radians

To convert the angle from radians to degrees, we multiply by 180/π (approximately 57.2958).

θ ≈ -1.2039 * 180/π ≈ -68.7548°

Rounding to the nearest hundredth, the direction of the resultant vector is approximately -68.75°.

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The least possible use of the scale to find the counterfeit is 2.

Given:

Total number of marbles = 9

One marble is a counterfeit and it weighs less than others.

To find the counterfeit marble, divide the marbles in 3 groups, each containing equal number of marbles.

So, each group will have 3 marbles.

Now, weigh group 1 and group 2. If there is a difference in weight then the group having less weight has the counterfeit marble and if they weigh same then the third group has the counterfeit marble.

Now, weigh 2 marbles from the group that has the counterfeit marble, if they weigh same then the third marble is counterfeit and if their weight is different, then the marble weighing less is counterfeit.

Therefore, the least possible use of the scale to find the counterfeit is 2.

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The given statement "The mapping x T(S(x)) is a linear transformation from Rp to Rm"  is true. Because it satisfies the properties of linearity, as shown by the computation of T(S(cu + dv)).

To show that the mapping x → T(S(x)) is a linear transformation from Rp to Rm, we need to show that it satisfies the following two properties for all vectors x, y in Rp and all scalars c, d:

Additivity: T(S(cx + dy)) = cT(S(x)) + dT(S(y))

Homogeneity: T(S(cx)) = cT(S(x))

Let's first show the additivity property:

T(S(cx + dy)) = T(S(c(x) + d(y))) [Definition of vector addition]

= T(S(c x) + S(d y)) [By linearity of S]

= T(S(c x)) + T(S(d y)) [By linearity of T]

= c T(S(x)) + d T(S(y)) [By linearity of S and T]

Therefore, T(S(x)) satisfies the additivity property.

Now let's show the homogeneity property:

T(S(cx)) = T(S(c x)) [Definition of scalar multiplication]

= c T(S(x)) [By linearity of S and T]

Therefore, T(S(x)) satisfies the homogeneity property.

Since T(S(x)) satisfies both the additivity and homogeneity properties, it is a linear transformation from Rp to Rm.

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Answer:

umm...sorry but plz can u tell me of which class is it

Answer:

The circumference is equal to 62.8 inches.

Step-by-step explanation:

To find the circumference we need to know the radius or the diameter.

In order to find the radius, we need to know that the area of a circle is equal to π\(r^{2}\) (where r is the radius of the circle). Now we can find the radius by using this equation...

100π \(in^{2}\)= π\(r^{2}\) \(in^{2}\)

Now we get...

100 \(in^{2}\) = \(r^{2} in^{2}\)

r in = 10 in

Therefore, the radius is equal to 10 inches. Now we can find the circumference by using the following formula...

Circumference = 2πr

Now we just sub in the values and get...

Circumference = 2πr = 2(3.14)(10) = 2(31.4) = 62.8

Now we knot that the circumference is equal to 62.8 inches.