find the unknown terms in the sequence: 1 3/4, 1 9/16, 1 3/8, 1 3/16, A, B, C, 7/16, 1/4

Answers

Answer 1

The 5th , 6th and 7th term of the arithmetic sequence is 1 , 13/16 and 10/16 respectively

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the first term of the AP be a₁ = 1 3/4

Let the second term of the AP be a₂ = 1 9/16

So , the common difference of AP d = a₂ - a₁

On simplifying the equation , we get

The common difference d = 1 9/16 - 1 3/4 = ( 25/16 - 7/4 )

The common difference d = - ( 3/16 )

And , the nth term of the AP is a + (n - 1) d

So , the 5th term of the AP = ( 1 3/4 ) + ( 4 ) ( -3/16 )

On simplifying the equation , we get

The 5th term of the AP = ( 7/4 ) + ( -3/4 )

The 5th term of the AP = 4/4 = 1

Therefore , the value of A = 1

And , the 6th term of the AP = ( 1 3/4 ) + ( 5 ) ( -3/16 )

On simplifying the equation , we get

The 6th term of the AP = ( 7/4 ) + ( -15/16 )

The 6th term of the AP = 13/16

Therefore , the value of B = 13/16

And , the 7th term of the AP = ( 1 3/4 ) + ( 6 ) ( -3/16 )

On simplifying the equation , we get

The 7th term of the AP = ( 7/4 ) + ( -18/16 )

The 7th term of the AP = 10/16

Therefore , the value of C = 10/16

Hence , the arithmetic progression is solved

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Related Questions

Express the integral f(x, y, z) dV E as an iterated integral in six different ways, where E is the solid bounded by the given surfaces. Y = x2, z = 0, y + 4z = 16

Answers

The integral f(x, y, z) dV E as an iterated integral can be expressed in six different ways, where E is the solid bounded by the given surfaces.

To express the integral as an iterated integral, we need to determine the limits of integration for each variable.

First, we can find the limits of integration for z The plane z = 0 is the xy-plane, and the plane y + 4z = 16 can be rewritten as z = (16 - y)/4. So the limits of integration for z are 0 to (16 - y)/4.

Next, we can find the limits of integration for y  The surface y = x^2 bounds the solid from below in the y direction, and the plane y + 4z = 16 bounds the solid from above in the y direction. So the limits of integration for y are x^2 to 16 - 4z.

Finally, we can find the limits of integration for x There are no explicit surfaces that bound the solid in the x direction, so we can use the limits of integration for y to determine the limits of integration for x.

With these limits of integration, we can express the integral in six different ways over dz dy dx:

∫∫∫E f(x, y, z) dV = ∫0^(16/4) ∫x^2^(16 - 4z) ∫0^g(x, y) f(x, y, z) dz dy dx

where g(x, y) = (16 - y)/4

∫∫∫E f(x, y, z) dV = ∫x^2^4 ∫0^16-4z ∫0^g(x, y) f(x, y, z) dz dx dy

where g(x, y) = (16 - y)/4

∫∫∫E f(x, y, z) dV = ∫x^2^4 ∫0^g(x, y) ∫0^(16 - 4z) f(x, y, z) dz dy dx

where g(x, y) = 16 - 4z

∫∫∫E f(x, y, z) dV = ∫0^4 ∫x^(1/2)^4 ∫0^g(x, y) f(x, y, z) dy dx dz

where g(x, y) = (16 - 4z)

∫∫∫E f(x, y, z) dV = ∫0^(16/4) ∫0^(16 - 4z) ∫y^(1/2)^4 f(x, y, z) dy dz dx

∫∫∫E f(x, y, z) dV = ∫0^4 ∫x^(1/2)^4 ∫0^(16 - 4z) f(x, y, z) dz dy dx

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Given the function g(n) = 2 n4 + 20 n3 + 42n2
Its g-intercept is
Its n intercepts are

Answers

The g-intercept of the function g(n) is 0.

The n-intercepts of the function g(n) are n = 0, n = -3, and n = -7.

What is a function?

In mathematics, a function is a relation between a set of inputs (the domain) and a set of possible outputs (the range), such that each input is related to exactly one output.

To find the g-intercept of a function, we need to determine the value of g when n = 0. So, to find the g-intercept of the function g(n) = 2n⁴+ 20 n³ + 42n², we can simply substitute n = 0 into the function:

g(0) = 2(0)⁴ + 20 (0)³ + 42(0)² = 0

Therefore, the g-intercept of the function g(n) is 0.

To find the n-intercepts of a function, we need to determine the values of n for which g(n) = 0. In other words, we need to solve the equation 2n⁴+ 20 n³ + 42n² = 0.

We can factor out a common factor of 2n² to simplify the equation:

2n²(n² + 10n + 21) = 0

This equation is true when either 2n² = 0 (which implies n = 0), or when n² + 10n + 21 = 0. The quadratic equation n² + 10n + 21 = 0 can be factored as (n + 3)(n + 7) = 0, so its solutions are n = -3 and n = -7.

The n-intercepts of the function g(n) are n = 0, n = -3, and n = -7.

Hence,

The g-intercept of the function g(n) is 0.

The n-intercepts of the function g(n) are n = 0, n = -3, and n = -7.

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The graph of f(x)=sin(x) is transformed to a new function g(x), by reflecting it over the x-axis and shifting it 2 units up. What is the equation of the new function g(x)?

Answers

On solving the provided question we can say that here trigonometry  y = Asin(Bx + C)+D

What exactly is trigonometry?

Trigonometry is a branch of mathematics that studies the relationship between triangle side lengths and angles. From the use of geometry in astronomical study, the area first appeared in the Hellenistic era, around the third century BC. Exact methods is a branch of mathematics that deals with specific trigonometric functions and how they can be used in calculations. In trigonometry, there are six popular trigonometric functions. Their names and acronyms are sine, cosine, tangent, cotangent, secant, and cosecant (csc). Trigonometry is the study of the properties of triangles, particularly right triangles. However, the study of geometry is the characteristics of all geometric figures.

(x)=sin(x) consider y = Asin(Bx + C)+D adjusts the amplitude of the function (how high or low it is).

if you want to

B determines how many full wavelengths will occur during a certain time period, and C determines the phase shift (left/right on the axis) (positive values will shift left)

The vertical shift, or D, is up or down. For example, a +3 would move the entire function up 3 units.

In your situation, the amplitude is 4 since you wish to stretch vertically.

Additionally, you want to move it right three units. C = -3 (always the opposite of the direction you wish to go) (always the opposite of the direction you want to go)

g(x) = 4sin(x - 3)

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A deli is trying out new labels for their cylindrical-shaped wheels of cheese. The label covers the entire wheel except the circular top and bottom.

If the wheel has a radius of 30 centimeters and a height of 20 centimeters, how many square centimeters of the wheel does the label cover? (Approximate using pi equals 22 over 7)

792,000 over 7 square centimeters
66,000 over 7 square centimeters
26,400 over 7 square centimeters
2,640 over 7 square centimeters

Answers

The label covers approximately 4,800 square centimetres of the wheel of cheese.

What is the lateral surface area of a cylinder?

The lateral surface area of a cylinder can be found using the formula:

L = 2πrh

where L is the lateral surface area, r is the radius of the cylinder, and h is the height of the cylinder.

In this case, we need to find the lateral surface area of the wheel of cheese, so we can use the given radius of 30 centimetres and height of 20 centimeters to calculate:

L = 2 x (22/7) x 30 x 20

L = 4,800 square centimetres

This is the total surface area of the cylindrical-shaped wheel of cheese. However, the label does not cover the circular top and bottom, so we need to subtract their areas from the total surface area to find the area covered by the label.

The area of a circle can be found using the formula:

A = πr²

where A is the area of the circle, and r is the radius of the circle.

In this case, we have two circles (top and bottom), so the total area of the circles that are not covered by the label is:

2 x (22/7) x 30²

= 56,400/7 square centimeters

Subtracting this from the total surface area, we get:

4,800 - 56,400/7

= 33,600/7 square centimeters

= 4,800 square centimeters (rounded to the nearest whole number)

Therefore, the label covers approximately 4,800 square centimeters of the wheel of cheese.

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PLEASEEE HELP —-> Step 1: Construct a circle through three points not on a line.
a) Points D, E, and F are not in a line. To construct a circle through points D, E, and F, begin by
drawing line segments DE and EF. Then construct the perpendicular bisectors of DE and EF, and
name the point of intersection of the perpendicular bisectors O. How do you know that point O
is the center of the circle that passes through the three points? (10 points)

Answers

Answer:

Step-by-step explanation:

To show that point O is the center of the circle that passes through points D, E, and F, we can use the property of perpendicular bisectors. The perpendicular bisectors of two chords of a circle bisect the chord and pass through the center of the circle. Since the perpendicular bisectors of DE and EF intersect at point O, it follows that O must be the center of the circle that passes through points D, E, and F.

This property can also be proven using the Pythagorean theorem. Let the radius of the circle be r and let the midpoints of DE and EF be M1 and M2, respectively. Then, OM1 = OM2 = r, and the distance between M1 and M2 is equal to the distance between D and F. By the Pythagorean theorem, the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse, so we have:

OM1^2 + (M1M2)^2 = r^2 + r^2 = 2r^2

Since OM1^2 + (M1M2)^2 is equal to 2r^2, it follows that the distance between M1 and M2 is equal to the diameter of the circle. This means that M1 and M2 are the midpoints of the diameter of the circle, so they must both lie on the circumference of the circle. This, in turn, means that O is the center of the circle that passes through points D, E, and F.

Can someone please help me with this I can’t figure it out

Answers

Answer:

69

Step-by-step explanation:

if it bisects that mean both angles are equal which tells us we can just divide the whole angle by 2

angle BOA is 138

so when you divide 138 by 2 you get 69

hope it helped

please mark brainiest

The following information is known about a loan time equals seven years interest rate equals 6% interest equals 840 $.00 what was the principal on a loan

Answers

Answer:

$2,000

Step-by-step explanation:

Interest = Principal x Rate x Time

840 = .06(7)p

840 = 0.42p

p = 2000

A distribution of all sample means or sample variances that could be obtained in samples of a given size from the same population is called

Answers

Answer:

sampling distribution

Step-by-step explanation:

:)

Hi! Can someone please help me? Please look in the photo
I would appreciate it a lot thanks :)

Answers

Answer:

D

Step-by-step explanation:

Count total dots => 30

Amount of dots under x>=5 => 21

21/30 = 7/10 = 70%

A 14-foot ladder is set up 4 feet from the base of a building. How far up the building does the ladder reach? round your answer to the nearest tenth of a foot.

Answers

The height that a ladder reaches is determined by the length of the ladder and its distance from the base of the building.

The ladder can be thought of as the hypotenuse of a right triangle, with the height that the ladder reaches up the building being one of the other sides and the distance of the ladder from the building being the other side.

So, the formula for the height that a ladder reaches can be expressed as:

Height =

Where "Ladder Length" is the length of the ladder, and "Distance from Base" is the distance of the ladder from the building.

Using this formula, we can calculate the height that the 14-foot ladder reaches when set up 4 feet from the base of the building:

Height = ([tex]14^2 - 4^2)^0.5[/tex]

= [tex](196 - 16)^0.5[/tex]

= [tex]180^0.5[/tex]

= 13.416407864

Rounding to the nearest tenth of a foot, the height the ladder reaches is 13.4 feet.

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A sign in the shape of a circle has a radius of 15 cm. What is the area of the sign? Use 3.14 for pi.

Answers

Answer:

The area of the sign is 706.5 cm^2.

Step-by-step explanation:

We know,

The formula of area of a circle,

A = πr^26

Here A is area and r is radius.

Here we have radius is 15 cm, so we can put the values in the above equation and find the area,

A = π * 15^2

A = 3.14 * 225

A = 706.5

The area of the sign is 706.5 cm^2.

Graph the line with the equation

Answers

X 0 1 2
Y -4 -5 -6
(0,-4)
(1,-5)
(2,-6)

Answer:

See below

Step-by-step explanation:

You should just use a graphing calculator or an online graphing site to do this

If you were to do this manually on  a graph sheet, here is how you proceed

Given line is

y = -x - 4

We need to find 2 points to plot a straight line

Choose x = 0 ==> y = - 0 - 4 = -4

So (0, - 4) is one point

Choose another value for x. x = -4 is a good point
At x = - 4, y = -(-4) - 4 = 0

So (-4, 0) is another point.

Plot these two points on the graph and draw a straight line through those points

The attached graph shows this all

an=−1+3(n−1)

what is the 55th term in the sequence

Answers

The 55th term of the arithmetic sequence is 131.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

Given that, the nth term of the sequence is aₙ= -1+3(n−1)

Here, the 55th term in the sequence is

a₅₅= -1+3(55-1)

= -1+132

= 131

Therefore, the 55th term is 131.

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Help me with this question….

Answers

Answer:c

Step-by-step explanation:

A bag with 12 marbles has 12 blue marbles,a marble is chosen from the bag,What's the probability is blue

Answers

100%, If 12 of all  12 marbles are blue, its 100%

Andre pidió prestado al prestado al banco un capital de 350,000 por lo cual el banco le cobrará un 6%de interés mensual cuánto debe pagar por un mes de interés

Answers

Andre borrowed 350,000 from the bank and the bank will charge him 6% interest per month. To calculate the amount he has to pay for one month of interest, we can use the following formula:

Interest = Capital * Interest rate

In this case, the capital is 350,000 and the interest rate is 6%. So, we can plug in the values:

Interest = 350,000 * 0.06

Interest = 21,000

Therefore, Andre has to pay 21,000 for one month of interest.

Solve the equation in the complex number system. X^2+x+8=0

(Simplify your answer. Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

Answers

Answer:

Step-by-step explanation:

here's a step-by-step explanation with more detail:

The equation X^2 + X + 8 = 0 can be solved using the Quadratic Formula:

X = (-b ± √(b^2 - 4ac)) / 2a,

where a = 1, b = 1, and c = 8.

Plugging in the values, we get:

X = (-1 ± √(1^2 - 4 * 1 * 8)) / 2 * 1

X = (-1 ± √(-31)) / 2

Since the square root of a negative number is not a real number, the solution to the equation must be expressed using complex numbers. In this case, the square root of -31 can be expressed as the imaginary unit i times the square root of 31.

X = (-1 ± i * √31) / 2

So, the two solutions to the equation are:

X = (-1 + i * √31) / 2 and X = (-1 - i * √31) / 2

And these are the two solutions expressed in terms of the imaginary unit i.

2) Find the sum of the first 15 terms of the sequence *
(2/7) + (4/7) + (8/7) + ...

Answers

Answer:32768/7

Step-by-step explanation:

double every term

Complete the equation that models the curve of best fit for this data.

curve of best fit: f(x) =
(
)x

Answers

X = -3 and its substitution into the first equation results in 3y = 9, which can be written as y = 3. As a result, the system of equations' solution's y-coordinate is 6.

What equation that models the curve of best fit for this data?

Equation is a mathematical and physical statement that describes physical phenomena and the relationship between various physical quantities.

It usually consists of a simple variable that presents the physical quantity, followed by a personal variable that may be a personal variable that is focused on the energy.

The system of equations has a solution, and its y-coordinate is 6. This is obtained by solving for x and then putting the specified y-value (2/3) into the equation -x+3y=9. In particular, -x+3(2/3) = 9 becomes -x = 3 when -x+3(2/3) = 9.

Therefore, The system of equations has a solution, and its y-coordinate is 6.

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What is your monthly take-home pay if your take-home pay is calculated as 20 hours per week at $11.66 per hour with 27% deducted for taxes and insurance?
Round intermediate calculations and the final answer to the nearest cent; use 365 days in a year.
Your monthly take-home pay is $

Answers

The monthly take-home pay is ¢ 68094. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

The term "arithmetic operations" refers to four basic mathematical operations that can be used to express any real number. Addition, subtraction, multiplication, and division are the four operations.

We are given that take-home pay is calculated as 20 hours per week at $11.66 per hour with 27% deducted for taxes and insurance.

Considering 365 days in a year, there are 52 weeks in year and 4 weeks in a month.

In a week there are 20 hours

So, in 4 weeks, there will be 80 hours

Take - home pay before deductions = 80 * $11.66 = $932.8

Take - home pay after deductions = $932.8 - 27% of $932.8 = $680.94

This is equal to ¢ 68094.

Hence, the monthly take-home pay is ¢ 68094.

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WILL GIVE BRAINLIEST WHO EVER ANSWERS CORRECTLY, PLS HELP.

Answers

Answer:

Below

Step-by-step explanation:

From the image below you can see that

90 F  + 60 L   = 160 miles

and given F + L = 2 hours       re arrange to  F = 2 - L  

                                      and substitute this "F" into the first equation

90 (2-L )  + 60 L = 160           Solve for L

180  - 90 L     + 60 L     = 160

180 - 30 L = 160

- 30 L = -20

L = 2/3 hr       then   F = 1  1/3  hr       ( because they add to '2' )

What is the solution to the equation?
2(x + 7) 2/3 = 8

Answers

Answer: x = -1

Step-by-step explanation:

simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there

estimate the population in the year 2040

Answers

The population in the year 2040 is 31800.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 4 is an equation.

We have,

The exponential equation is y = m[tex]a^t[/tex].

Where t is a variable

Now,

In 2007 (t = 0). the population was 12,000.

y = 12000

This means,
12000 = m[tex]a^0[/tex]

12000 = m

And,

In 2019 (t = 12). the population was 23,000.

y = 23000

23000 = m[tex]a^{23}[/tex]

23000 = 12000 [tex]a^{23}[/tex]

23000/12000 = [tex]a^{23}[/tex]

1.92 = [tex]a^{23}[/tex]

[tex]1.036^{23}[/tex] = [tex]a^{23}[/tex]

a = 1.03

Now,

y = 12000 [tex]1.03^t[/tex]

The population in the year 2040.

i.e

t = 33

y = 12000 x [tex]1.03^{33}[/tex]

y = 12000 x 2.65

y = 31800

Thus,

31800 is the population in the year 2040.

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Solve the triangle. Round to the nearest tenth.

Answers

In the given triangle, ∠F=29°, d>15 and e<15.

What exactly is a triangle?

Triangles are polygons in geometry that have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°. A single plane contains the triangle. The triangle is classified into six forms based on its sides and angles.

A triangle is categorised into three categories based on its sides, namely:

Scalene Triangle - Each side has a distinct length.

Isosceles Triangle - A triangle with two sides of equal length and one side of a different length.

Equilateral Triangle - A triangle has three sides that are of the same length.

A triangle is categorised into three categories based on its angles, namely:

Acute Angle Triangle - A triangle with all of its angles smaller than 90°.

Obtuse Angle Triangle - A triangle with one of its angles larger than 90°.

Triangle with a Right Angle - A triangle with one of its angles equal to 90°.

Now

As sum of all angles of triangle=180°

∠F+127°+24°=180°

∠F=180-151

∠F=29°

and In a triangle Largest angle is opposite to largest side and smallest angle is opposite to smallest side.

Then the sides e and d will be as following d>15 and e<15.

hence,

          In the given triangle, ∠F=29°, d>15 and e<15.

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Solve the following quadratic equation using the quadratic formula. Separate multiple answers with a comma if necessary.

y2+7y−2=0

Answers

The quadratic equation y2 + 7y - 2 = 0 can be solved using the quadratic formula, which states that the solutions for x in the equation ax^2 + bx + c = 0 are given by:

x = (-b ± √(b^2 - 4ac)) / 2a

We can apply the quadratic formula to this equation by letting a = 1, b = 7, and c = -2:

y = (-7 ± √(7^2 - 4 * 1 * -2)) / 2 * 1

y = (-7 ± √(49 + 8)) / 2

y = (-7 ± √57) / 2

So the solutions to the equation y2 + 7y - 2 = 0 are:

y = (-7 + √57) / 2

y = (-7 - √57) / 2

The solutions to the equation are y = (-7 + √57) / 2 and y = (-7 - √57) / 2.

To find 15+32,
Kayla adds the ones.
Then she adds the tens.
Then she adds the ones and tens.
5+2=7
1+3=4
7+4=11
Do you agree with Kayla? Yes or No.
Explain by showing your thinking using drawings, numbers, or
words.

Answers

Answer:

no

Step-by-step explanation:

15+32 you would first add the tens

5+2=7

then the ones

1+3 =4

you're answer would then be 47 as the ones come before the tens

Jaelyn had $150 in the school account and sold tickets for the fundraiser at a cost of $8 per ticket. Erik had $480 in his school account and sold tickets for $6 per ticket. How many tickets had to be sold before both accounts had the same amount of money?

Answers

Using equations, they sold 165 tickets before both accounts had the same amount of money.

What is an equation?

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The variables that must be included in the equation are also known as the unknowns.

Given that, Jaelyn had $150 in the school account and sold tickets for the fundraiser at a cost of $8 per ticket.

and Erik had $480 in his school account and sold tickets for the fundraiser at a cost of $6 per ticket.

Let they sold x tickets and they have the amount in their account is y.

After sold tickets, Jaelyn accounts had the amount is

y = 150 + 8x

After sold tickets, Erik accounts had the amount is

y = 480 + 6x

the amount in their account is same, so we compare both equation to find x

150 + 8x = 480 + 6x

arranging like terms in same side

8x - 6x = 480 - 150

2x = 330

divide both sides by 2 we get,

x = 330/2

x = 165

So, they sold 165 tickets before both accounts had the same amount of money.

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PLEASEEE HELP —-> Step 1: Construct a circle through three points not on a line.
a) Points D, E, and F are not in a line. To construct a circle through points D, E, and F, begin by
drawing line segments DE and EF. Then construct the perpendicular bisectors of DE and EF, and
name the point of intersection of the perpendicular bisectors O. How do you know that point O
is the center of the circle that passes through the three points? (10 points)

Answers

Answer:

Step 1: Construct a circle through three points not on a line.

a) Points D, E, and F are not in a line. To construct a circle through points D, E, and F, begin by

drawing line segments DE and EF. Then construct the perpendicular bisectors of DE and EF, and

name the point of intersection of the perpendicular bisectors O. How do you know that point O

is the center of the circle that passes through the three points?

Answer:

Step-by-step explanation:

To show that point O is the center of the circle that passes through points D, E, and F, we can use the property of perpendicular bisectors. The perpendicular bisectors of two chords of a circle bisect the chord and pass through the center of the circle. Since the perpendicular bisectors of DE and EF intersect at point O, it follows that O must be the center of the circle that passes through points D, E, and F.

This property can also be proven using the Pythagorean theorem. Let the radius of the circle be r and let the midpoints of DE and EF be M1 and M2, respectively. Then, OM1 = OM2 = r, and the distance between M1 and M2 is equal to the distance between D and F. By the Pythagorean theorem, the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse, so we have:

OM1^2 + (M1M2)^2 = r^2 + r^2 = 2r^2

Since OM1^2 + (M1M2)^2 is equal to 2r^2, it follows that the distance between M1 and M2 is equal to the diameter of the circle. This means that M1 and M2 are the midpoints of the diameter of the circle, so they must both lie on the circumference of the circle. This, in turn, means that O is the center of the circle that passes through points D, E, and F.

Circles and please answers please just need help Thank you so much

Answers

The area of the shaded region is given as follows:

As = 324(2π - 1) in².

What is the area of the shaded region?

The area of a circle of radius r is given by π multiplied by the radius squared, as follows:

A = πr².

For this problem, the circle has a radius of [tex]18\sqrt{2}[/tex], as the radius is the diagonal of the square, hence the area is given as follows:

A = π x [tex](18\sqrt{2})²[/tex]

A = 648π in².

The area of a square of side length s is given by the square of the side length, hence the area of the square is given as follows:

A = 18²

A = 324 in².

Hence the area of the shaded region is given as follows:

As = 648π - 324

As = 324(2π - 1) in².

More can be learned about the area of a circle at https://brainly.com/question/15673093

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here are the first four terms of a number sequence 1 5 13 29.
The rule to continue this sequence is mutiply the previous term by 2 then add 3
work out the 5th term of this sequence

Answers

Answer:

61

Step-by-step explanation:

using the rule to find the fifth term from the fourth term 29

5th term = 2 × 29 + 3 = 58 + 3 = 61

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