A circle is inscribed in a regular octagon. If the perimeter of the octagon is 16, what is the circumference of the circle

Answer:

No solution

Step-by-step explanation:

Let's solve this equation to see if there are any solutions.

First we need to simplify it;

10 + 6x = 15 + 9x - 3x

Combine like terms:

6x - 9x + 3x = 15 - 10

0x = 5

0 = 5

Zero cannot be equal to 5, so there is no solution

Given that Lorenzo paid more than $30 for a ticket, the probability that he purchased the ticket at the box office is 0.14

Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. The probability of an event is a number between 0 and 1, with approximately 0 indicating the improbability of the event and 1 indicating certainty.

The probability of an event can be calculated using the probability formula by simply dividing the number of favorable outcomes by the total number of possible outcomes. Probability = number of paths to success. The total number of possible outcomes. For example, the probability of flipping a coin and getting heads is ½. This is because there is one way to get heads and the total number of possible outcomes is 2 (heads or tails). We write P(heads) = ½.

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The elements of Z3[x]/(x^2 - x) are of the form ax + b that is multiplication table, where a and b are elements of Z3.

The multiplication table is:

  | 0   1   x   1+x   2   2+x

-------------------------------

0 | 0   0   0    0   0   0

1 | 0   1   x   1+x  2  2+x

x | 0   x  2x  2+x   x  1+2x

1+x| 0  1+x 2+x   2  2+x  x

2 | 0   2   x   2+x  1  1+x

2+x| 0  2+x 1+2x  x  1+x 2

Note that in this table, we use the fact that x^2 - x = 0, which implies that x^2 = x.

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Answer:

75×3=225

Step-by-step explanation:

the total distance the car travels is 225kms

The diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

To convert the diameter of Earth from miles to kilometers, we can multiply the given diameter in miles by the conversion factor of 1.6 kilometers per mile.

Given that Earth's diameter is 7,926 miles, we can calculate its diameter in kilometers as follows:

Diameter in kilometers = Diameter in miles × Conversion factor

Diameter in kilometers = 7,926 miles × 1.6 kilometers/mile

Diameter in kilometers = 12,681.6 kilometers

Rounding this value to the nearest whole number, we get 12,682 kilometers.

Therefore, the correct answer is option D: 12,682 km.

Option A: 49,553 km is not the correct answer. It is not consistent with the given diameter of Earth.

Option B: 120,586 km is also not the correct answer. It is not consistent with the given diameter of Earth.

Option C: 1,392,650 km is significantly larger than the actual diameter of Earth and is not a plausible value.

In conclusion, the diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

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The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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Answer:

it's 9

Step-by-step explanation:

1, 2, 3, and 4 are the correct answers.

Based on the given options, the correct statements are:

1. Point a corresponds to the maximum value of the normal stress.

2. Both point a and point b correspond to a zero value of shearing stress.

3. Point b corresponds to the minimum value of the normal stress.

4. Both point d and point e correspond to a zero value of normal stress.

what is point?

A point is a fundamental concept in mathematics and geometry. It is a precise location in space, typically represented by a dot or a small symbol. In a two-dimensional plane, a point is identified by its coordinates, which specify its position along the x-axis and y-axis. For example, a point (3, 5) represents a location three units to the right and five units above the origin.

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X cannot be a binomial variable because it matches a geometric distribution having parameters of p = 0.02 and is instead a geometric variable.

What is a Binomial Distribution?

The number of successes and failures in a series of n (a finite value) independent trials or experiments is represented by a binomial distribution.

Given that the producer of electronics is aware that 2% of computer processors are faulty, and

The random variable X represents the number of processors it takes to find a bad processor.

X does not constitute a binomial variable in this situation.

In the example above, the amount of failures (processors) is being counted up until the initial success (a malfunctioning processor) is attained.

X cannot be a binomial variable because it matches a geometric distribution having parameters of p = 0.02 and is instead a geometric variable.

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The kite is about 16.5 yards above the edge of the pond.

You are flying a dragon kite. It's connected to 36 yards string. The kite is directly above the end of the pond. The edge of the pond is 32 yards where the kite is tied to the ground.

Therefore, the height of the kite above the ground can be calculated as follows:

This situation form a right angle triangle. Hence, using Pythagoras's theorem,

Therefore,

h² = 36² - 32²

h² = 1296 - 1024

h = √272

h = 16.4924225025

Hence, the height of the kite is 16.5 yards.

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Use the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 15^2 = 25^2

a^2 + 225 = 625

a^2 = 400

a = 20

Answer: 20 cm

Hope this helps!!

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The correct answer is option C) 234 days. In this case, the loan was made on March 24 and due on November 15 of the same year.

To find the exact time of the loan made on March 24 and due on November 15, we need to add up the exact days in each month between these two dates. March has 31 days, April has 30 days, May has 31 days, June has 30 days, July has 31 days, August has 31 days, September has 30 days, October has 31 days, and November has 15 days.
Adding up all the days, we get:
31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 15 = 234
Therefore, the exact time of the loan is 234 days.

To calculate the exact time between two dates, we need to count the number of days in each month and add them up.
March has 31 days, so we count from March 24 to March 31, which gives us 7 days.
Next, we move to April, which has 30 days. So we add 30 to the previous count of 7, which gives us 37 days.
In May, there are 31 days, so we add 31 to the previous count of 37, which gives us 68 days.
June has 30 days, so we add 30 to the previous count of 68, which gives us 98 days.
In July, there are 31 days, so we add 31 to the previous count of 98, which gives us 129 days.
August also has 31 days, so we add 31 to the previous count of 129, which gives us 160 days.
In September, there are 30 days, so we add 30 to the previous count of 160, which gives us 190 days.
October has 31 days, so we add 31 to the previous count of 190, which gives us 221 days.
Finally, in November, we count from November 1 to November 15, which gives us 15 days.
Adding up all the days, we get:
7 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 15 = 234
Therefore, the exact time of the loan is 234 days.

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Answer: 10.4

Step-by-step explanation:

10x-4/5 = 20

10x-4 = 100

10x = 104

x = 10.4

Answer:

10.4

bdhehehjekwjehege

The measure of the central angle that was used when cutting the pizza to the nearest tenth is 0.7 radians.

We are given that

Diameter of pizza =d=18 inches,

hence radius of circular pizza =r\(=\frac{\mathrm{d}}{2}=\frac{18}{2}=9$\) inches,

Also, the arc length of a slice of pizza =L=6.5 inches.

Since we know that

Equation 1 where \($\theta$\) is measured in radians.

\(& =\frac{6.5}{9} \\\)

\(& =\frac{65}{90} \\\)

\(& =\frac{13 \times 5}{18 \times 5} \\\)

\(& =\frac{13}{18} \\\)

\(& =0.7 \text { radians }\end{aligned}\)

Therefore,  the measure of the central angle to the nearest tenth is 0.7 radians.

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Answer:

its c

Step-by-step explanation:

easy 23 simple mulitply then add

Quantities that are proportional to each other are,

A) radius and diameter of a circle

B) radius and circumference of a circle

C) radius and area of a circle

D) diameter and circumference of a circle

E) diameter and area of a circle​

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

We know the radius of a circle is r and the diameter of a circle is 2r.

We also know that the circumference of a circle is 2πr and the area of a circle is π(r)².

Now the quantities that will be related to each other are the quantities that are together linked in the formula of circumference and area.

∴ Radius and diameter of a circle, Radius, and circumference of a circle, Radius and area of a circle, Diameter and circumference of a circle, and Diameter and area of a circle​ all are related to each other and are directly proportional.

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The standard error of the sample mean, \(\bar{x}\) , is the standard deviation of the distribution of sample means.

The standard error is a measure of the amount of variability in the mean of a population. It is also defined as the standard deviation of the sampling distribution of the mean. This value is used to create confidence intervals or to test hypotheses. The formula to find the standard error is SE = s/√n, where s is the sample standard deviation and n is the sample size. This estimate shows the degree to which the sample mean is anticipated to vary from the actual population mean.

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The cost of one apple is $0.70.

Let's assume that the cost of one apple is "a" dollars and the cost of one banana is "b" dollars. We can create two equations based on the information given:

4a + 9b = 12.70 ...(1)

8a + 11b = 17.70 ...(2)

To solve for "a", we can use elimination method by multiplying equation (1) by 8 and equation (2) by -4, so that the coefficients of "a" in both equations will be equal and opposite:

32a + 72b = 101.60

-32a - 44b = -70.80

Adding these two equations, we get:

28b = 30.80

Simplifying and solving for "b", we get:

b = 1.10

Now, we can substitute the value of "b" in equation (1) and solve for "a":

4a + 9(1.10) = 12.70

4a + 9.90 = 12.70

4a = 2.80

a = 0.70

Therefore, the cost of one apple is $0.70.

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Answer:

1064.8 km³

Step-by-step explanation:

The triangular base of the prism can be divided into a right triangle and an isosceles triangle. The right triangle has legs of 10 km and 8.8 km, while the isosceles triangle has two sides of 12 km and an altitude of 8.8 km.

To find the area of the triangular base, we can use the formula for the area of a triangle:

Area = ½ * base * height

For the right triangle, the base is 10 km and the height is 8.8 km, so the area is:

Area = ½ * 10 km * 8.8 km = 44 km²

For the isosceles triangle, the base is 12 km and the height is also 8.8 km, so the area is:

Area = ½ * 12 km * 8.8 km = 52.8 km²

The total area of the triangular base is the sum of the areas of the two triangles:

Total Area = 44 km² + 52.8 km² = 96.8 km²

To find the volume of the prism, we can multiply the area of the base by the height of the prism:

Volume = Base Area * Height

Volume = 96.8 km² * 11 km = 1064.8 km³

Rounding to the nearest tenth, the volume of the prism is 1064.8 km³.

The volume of the given triangular prism is 975.7 km³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

The figure is a triangular prism, with a triangular base and three rectangular faces.

To calculate the volume of the prism, we will use the formula V = Bh, where B is the area of the base and h is the height of the prism.

The area of the base can be calculated using Heron's formula:

Area = √s(s-a)(s-b)(s-c)

where a, b, and c are the side lengths of the triangle and s is the semi perimeter (half of the perimeter).

For this figure, the side lengths are 10 km, 12 km, and 13 km, and the semi perimeter is (10 + 12 + 13)/2 = 35/2 = 17.5 km.

Substituting these values into Heron's formula, we get:

Area = √(17.5)(7.5)(5.5)(4.5) = 88.7 km²

Now that we have the area of the base, we can use the formula V = Bh to calculate the volume of the prism:

V = 88.7 km² × 11 km = 975.7 km³

Therefore, the volume of the given triangular prism is 975.7 km³.

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The population of the town will be 2812.94 in 25 years. The population will be growing at a rate of 1.8% per year when t = 25.

The growth rate of the population of the town is proportional to the population of the town at any given time t. That is,dp/dt = kp,where p is the population of the town at time t and k is the proportionality constant. The solution of the differential equation is given by:

p(t) = p0e^{kt}where p0 is the initial population at

t = 0. If we take natural logarithms of both sides of the equation, we get:ln

(p) = ln(p0) + ktWe can use this equation to find k. We know that the population increases by 20% in 10 years. That means:

p(10) = 1.2p0Substituting

p = 1.2p0 and

t = 10 in the equation above, we get:ln

(1.2p0) = ln(p0) + 10kSimplifying, we get:

k = ln(1.2)/

10 = 0.0171Thus, the equation for the population is:

p(t) = 1000e^{0.0171t}The population in 25 years is:

p(25) = 1000e^

{0.0171*25} = 2812.94To find how fast the population is growing at

t = 25, we differentiate:

p'(t) = 1000*0.0171e^

{0.0171t} = 17.1p(t)When

t = 25, we get:

p'(25) =

17.1*2812.94 = 48100.5Therefore, the population is growing at a rate of 48100.5 people per year when

t = 25. This is a growth rate of 1.8% per year.

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Answer:

12

Step-by-step explanation:

hello :

√24 ×√6 = √(24×6) =√144 = √12² = 12

Answer:

root 144 or 12

Step-by-step explanation:

24 by 6 is 144 so root 144 becomes 12

As a simplified fraction, we have 107/33

Note that fractions are simply described as the part of a whole number or variable.

There are different types of fractions;

From the information given, we get;

3. 24 repeating can be expressed as the sum of 3 and 0. 24

Let x be 3.24

Then, we have;

Multiplying 100 by a certain number results in a repeating decimal of 324. 24

100x = 324.24

After taking the difference between the two equations, we have;

99x = 321.

Make 'x' the subject of formula, we have;

x = 321/99

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Step-by-step explanation:

( u ÷ v - t ) + w

divide u and v, after u get the ans subtract it with T.

then add w.

We have the following ratio scale:

If we move the DRAWING term to the rght hand side, we get

In our case, the line is 15 inches long, then we have

which gives

Therefore, the answer is 50 inches.

Answer:

C. The equation has no solution

Step-by-step explanation:

I hope this helps you out!

In polar coordinates, the equation for (a) is r = 10sinθ, the equation for (b) is r = √10, the equation for (c) is r = 6cosθ, and the equation for (d) is r = 10sinθ / (cos^2θ - sin^2θ).

In polar coordinates, a point (r, θ) represents the distance r from the origin and the angle θ measured counterclockwise from the positive x-axis. To express each equation in polar coordinates, we can substitute x = rcosθ and y = rsinθ, then simplify using trigonometric identities and algebraic manipulations.

(a) y = 10

Substituting y = rsinθ, we get rsinθ = 10, or r = 10sinθ.

(b) x^2 + y^2 = 10

Substituting x = rcosθ and y = rsinθ, we get r^2 = 10, or r = √10.

(c) x^2 + y^2 - 6x = 0

Substituting x = rcosθ and y = rsinθ, we get r^2 - 6rcosθ = 0, or r = 6cosθ.

(d) x^2(x^2 + y) = 10y^2

Substituting x = rcosθ and y = rsinθ, we get r^2cos^2θ(r^2cos^2θ + rsinθ) = 10r^2sin^2θ, or r = 10sinθ / (cos^2θ - sin^2θ).

Therefore, in polar coordinates, the equation for (a) is r = 10sinθ, the equation for (b) is r = √10, the equation for (c) is r = 6cosθ, and the equation for (d) is r = 10sinθ / (cos^2θ - sin^2θ).

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The parametric equations for the line parallel to the z-axis are x = x₀, y = y₀, and z = 3t, where x₀ and y₀ are constant values and t is the parameter.

To find parametric equations for a line parallel to the z-axis, we can express the coordinates (x, y, z) in terms of a parameter, say t.

Since the line is parallel to the z-axis, the x and y coordinates will remain constant while the z coordinate changes with respect to t.

Let's denote the x and y coordinates as x₀ and y₀, respectively. Since the line is parallel to the z-axis, x₀ and y₀ can be any fixed values.

Therefore, the parametric equations for the line parallel to the z-axis are:

x = x₀

y = y₀

z = 3t

Here, x₀ and y₀ represent the constant values for the x and y coordinates, respectively, and t is the parameter that determines the value of the z coordinate. These equations indicate that as t varies, the z coordinate of the line will change while the x and y coordinates remain constant.

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A reflection preserves the size and shape of the prior original image, acting as a congruence transition.

A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a set of fixed points known as the hyperplane, also known as the axis or plane of reflection.

The mirror image of a figure in the axis or plane of reflection is the image produced by a reflection.

A reflection keeps the pre-original image's size and shape, making it a congruent transition.

A figure that has been flipped over a line of reflection is a reflection.

The position of the x- and y-coordinates simply changes in a reflection across the line y = x.

Consider the case when the point (6, 7) is reflected across the line y = x. The reflected point's coordinates are (7, 6).

Therefore, a reflection preserves the size and shape of the prior original image, acting as a congruence transition.

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Answer:

There are 4 terms.

Step-by-step explanation:

A term is a single number or variable, or a combination of both.

The terms are:

2n

5

-3p

4q

So, there are 4 terms.

Answer:

4

Step-by-step explanation:

A term is a number, a variable, or a product of a number and a variable.

We can see that there are 4 terms in this equation because:

2n+5-3p+4a

the bolded things are terms.

Hope this helps! :)

Answer:

20%

Step-by-step explanation:

\(1)\ 40 - 17 = 23\ (number\ of\ females)\)

\(2)\ 23 - 15 = 8\ (number\ of\ non-black\ female\ rabbits)\)

\(3)\ P = \frac{8}{40} * 100 = \frac{1}{5} * 100 = 20\)