Find the centre and radius of
x^2 + y^2 = 49

The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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Answer:

The Taylor series is   \($$\sum_{n=0}^{\infty} [\frac{(-1)^n}{(2n +1)!} (x)^{2n+1}]\)

Step-by-step explanation:

From the question we are told that

      The function is  \(f(x) = sin (x)\)

This is centered at  

       \(a = 2 \pi\)

Now the next step is to represent the function sin (x) in it Maclaurin series form which is  

          \(sin (x) = \frac{x^3}{3! } + \frac{x^5}{5!} - \frac{x^7}{7 !} +***\)

=>       \(sin (x) = $$\sum_{n=0}^{\infty} [\frac{(-1)^n}{(2n +1)!} (x)^{2n+1}]\)

   Now since the function is centered at  \(a = 2 \pi\)

We have that

           \(sin (x - 2 \pi ) = (x-2 \pi ) - \frac{(x - 2 \pi)^3 }{3 \ !} + \frac{(x - 2 \pi)^5 }{5 \ !} - \frac{(x - 2 \pi)^7 }{7 \ !} + ***\)

This above equation is generated because the function is not centered at the origin but at \(a = 2 \pi\)

           \(sin (x-2 \pi ) = $$\sum_{n=0}^{\infty} [\frac{(-1)^n}{(2n +1)!} (x - 2 \pi)^{2n+1}]\)

Now due to the fact that \(sin (x- 2 \pi) = sin (x)\)

This because  \(2 \pi\) is a constant

   Then it implies that the Taylor series of the function centered at \(a = 2 \pi\) is

             \($$\sum_{n=0}^{\infty} [\frac{(-1)^n}{(2n +1)!} (x)^{2n+1}]\)

Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.

Step-by-step explanation:

Four less than the product of a number (x) and 5 = 5x - 4

8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10

Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10

                                                         5x - 3x = 10 + 4

                                                         2x = 14

                                                         x = 14/2

                 therefore,                      x = 7

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Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answer: -8, 0. 2, -10, 15

Step-by-step explanation:

4x+6 > 3x-9

x + 6 > -9

x > -15

So the answers are -8, 0. 2, -10, 15.

Answer:

6n+2

Step-by-step explanation:

Answer:

2500 feet = 1 minute

Step-by-step explanation:

f(2) = 4

...................................

Answer:

−1≤x<3

Step-by-step explanation:

−4≤3x−1<8

−4≤3x−1and3x−1<8

3x−1≥−4and3x−1+1<8+1

3x≥−3and3x<9

x≥−1andx<3

−1≤x<3

The measure of side AC of the right triangle is 7.2 units.

The figure in the image is the of a right triangle.

To solve for the measure of side AC, we use trigonometric ratio.

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Tangent = Opposite / Adjacent

tan( A ) = BC / AC

Plug in the values and solve for side AC.

tan( 51° ) = 8.9 / AC

AC = 8.9 / tan( 51° )

AC = 8.9 / 1.234897

AC = 7.2

Therefore, side AC has a value of 7.2 units.

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Answer:

Sure, I can help with that! Here are the steps to solve each problem:

a) Since sin A = 0.6018, we can use the inverse sine function (sin^-1) to find the measure of angle A. Taking the inverse sine of 0.6018 gives us 37.19 degrees rounded to the nearest degree.

b) Since cos B = 0.9205, we can use the inverse cosine function (cos^-1) to find the measure of angle B. Taking the inverse cosine of 0.9205 gives us 23.06 degrees rounded to the nearest degree.

c) Since tan C = 0.0349, we can use the inverse tangent function (tan^-1) to find the measure of angle C. Taking the inverse tangent of 0.0349 gives us 2.00 degrees rounded to the nearest degree.

I hope that helps! Let me know if you need any further assistance.

Answer:127.50

Step-by-step explanation:

it’s that you’ll see

Bo will have to pay $94.50 per year for insurance.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Bo's apartment is located in the city suburbs and the value of his belongings is $15,000.

From the table,

The area rating for city suburbs and wood building contents is 0.63.

The insurance premium per $100 of coverage is $0.63.

To calculate the total premium, we need to divide the value of Bo's belongings by $100 and multiply the result by the premium per $100 of coverage:

Premium = (Value of Belongings ÷ $100) x Premium per $100 of Coverage

Premium = (15,000 ÷ 100) x 0.63

Premium = 94.5

Therefore,

Bo will have to pay $94.50 per year for insurance.

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Answer:

15X - 11 = <LMN

Step-by-step explanation:

add the two expressions together

The unit circle has the co-ordinates (-√2/2, -√2/2)

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: The unit circle and the point makes an angle of 225

we know the co-ordinates of any point on the unit circle is given by

x=cost and y=sint where t is the angle that line passing through the origin containing the point makes with x-axis

Thus x=cos225

           =-√2/2

and y=sin225

        =-√2/2

Hence, The required point is given by co-ordinates (-√2/2, -√2/2)

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Answer:

8

Step-by-step explanation:

If you match up the pieces then you would find that the missing side/green blank is 8

If the ages of Arun and Suav are consecutive integers than the Arun's age is 8 years .

In the question ,

it is given that ,

Arun is older than Suav ,

and their ages are consecutive integers ,

Let the Suav's age be = "x"

So ,  the Arun's age be = "x+1" .

it is given that , the sum of the square of Arun's age and 4 times Suav's age is 92.

that means ;

(x+1)² +4x = 92

x² +6x + 1 = 92

x² + 6x - 91 = 0

Solving the quadratic equations ,

we get ,

x = 7 and x = -13 .

age cannot be negative , So ,

x = 7 ,

thus, the Arun's age will be = 7 + 1 = 8 years.

Therefore , the age of Arun is 8 years .

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Answer:

45 million?

Step-by-step explanation:

hope this helps

Answer:

Indira should have written the equations Negative 6 + a = negative 3 and 1 + b = negative 2 in Step 2.

Step-by-step explanation:

The complete question is:

On a coordinate plane, point B(–6, 1) is translated to B prime(–3, –2). Indira uses these steps to find a rule to describe the translation. Step 1Substitute the original coordinates and the translated coordinates into (x, y) right-arrow (x + a, y + b):

B (negative 6, 1) right-arrow B prime (negative 6 + a, 1 + b) = B prime (negative 3, negative 2)

Step 2

Write two equations:

Negative 6 + a = negative 2. 1 + b = negative 3.

Step 3

Solve each equation:

Negative 6 + a = negative 2. a = negative 2 + 6. a = 4. 1 + b = 3. b = negative 3 minus 1. b = negative 4.

Step 4

Write the translation rule:

(x, y) right-arrow (x + 4, y minus 4)

Which corrects Indira’s first error?

Indira should have substituted B (negative 6, 1) right-arrow B prime (negative 3 + a, negative 2 + b) = B prime (negative 6, 1) in Step 1.

Indira should have written the equations Negative 6 + a = negative 3 and 1 + b = negative 2 in Step 2.

Indira should have solved the equations to find that a = negative 8 and b = negative 2 in Step 3.

Indira should have written the translation rule (x, y) right-arrow (x minus 4, y + 4) in Step 4.

Answer:

Transformation is the movement of a point from its initial position to a new position. Types of transformation is rotation, dilation, rotation or reflection.

Translation is the movement of a point in a given direction. It is represented by (x, y) ⇒ (x ± a, y ± b)

If a is positive then the point is moved right and if a is negative, the point is moved left. Also if b is positive, the point is moved up and if b is negative, the point is moved down

Step 1 is correct:

B (- 6, 1) ⇒ B' (- 6 + a, 1 + b) = B' (- 3, - 2)

Step 2 is not correct, Indira should have written the equations:

(-6 + a, 1 + b) = (-3, -2)

-6 + a = -3 and 1 + b = -2

a = 3 and b = -3

(x, y) ⇒ (x + 4, b - 3)

-

Answers:Indira should have substituted B (negative 6, 1) right-arrow B prime (negative 3 + a, negative 2 + b) = B prime (negative 6, 1) in Step 1.

Step-by-step explanation:

Answer:

to my knowledge i believe it is 24/3

Step-by-step explanation:

The total volume taken by the coins is 88.47 cubic inches, so the correct option is D.

The coins are cylinders with a radius of 1.4 inches and a height of 0.0625 inches.

Remember that the volume of a cylinder is given by:

volume = (height)*pi*(radius)^2

Where pi = 3.14

Then here the volume of each coin is:

V = (0.0625 in)*3.14*(1.4 in)^2 = 0.384 in³

And there are 230 coins, so the total volume is:

V = 230*0.384 in³ = 88.47 in³

So the correct option is D.

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Answer: D: 88.47 in³​

Step-by-step explanation: So what you want to do is first find the individual volume of the coins. Use the volume formula: V = πr^2h

Take 1.4 and times it by itself

1.4 x 1.4 = 1.96

Now multiply 1.96 by 0.0625

1.96 x 0.0625 = 0.1225

And times 0.1225 by pi, or in this case, 3.14

0.1225 x 3.14 = 0.38465

Now you have found the individual volume of each coin. You are trying to find how much space all of the coins take up together. The question says that there is 230 coins in total. So times 0.38465 by 230 to find how much space all the coins take up.

0.38465 x 230 = 88.4695 in³
Now round it to the nearest hundredth: 88.47 in³

That is your answer.

Also I took the same test and I picked 88.47 inches cubed and got it right.

Proof:

Have a good day :)))

Answer:

23.10

Step-by-step explanation: Each large necklace is 4.10 There are only 1 largfe necklace he sold so we multiply 4.10 by 1 which is 4.10. A small necklace is 3.80 and he sold 5 of them so we multiply 5 by 3.80. 3.80 times 5 is 19. Then we add the large and small necklace product.

19+ 4.10=23.10

Answer:

23.1

Step-by-step explanation:

(4.10*1)+(3.80*5)

4.10*1=4.10

3.80*5=19

4.10+19=$23.1

Answer:

top leve : nobles

second level:priests

third level: craftment

bottom level:peasent & slavr

Answer:

\(A=202\ cm^2\)

Step-by-step explanation:

Given that,

The dimensions of the prism are 4 cm, 9 cm and 5 cm respectively.

The formula for the surface area of the prism is given by :

\(A=2(lb+bh+hl)\)

Put all the values,

\(A=2(4(9)+9(5)+5(4))\\\\A=2(36+45+20)\\\\A=202\ cm^2\)

So, the required surface area of the prism is equal to \(202\ cm^2\).

The number of beads he used to make 21 necklaces is 315 beads.

He sells jewellery online. He can make 25 necklaces from 375 beads.

This means Jared uses 375 beads to make 25 necklaces.

Yesterday he made 21 necklaces.

Therefore, the number of beads he used to make the 21 jewellery can be calculated as follows:

Hence,

25 necklaces = 375 beads

21 necklaces = ?

cross multiply

number of beads used to make the necklaces = 21 × 375 / 25

number of beads used to make the necklaces = 7875 / 25

Therefore,

number of beads used to make the necklaces = 315

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Answer:

13 feet

Step-by-step explanation:

This is a right triangle problem

Use the Pythagorean Theorem

c² = a² + b²

c² = 12² + 5²

c² = 144 + 25

c² = 169

Take the square root of both sides

c = 13

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Answer:

Step-by-step explanation:

Its 4.51

Answer:

It goes in one direction and indefinitely.

It consist one endpoint.

Step-by-step explanation:

A ray is a straight line that emerges out of a start point and moves in a direction. The line begins with the start point and moves in one direction. The start point and the other side are named with capital letters. It is denoted by writing the two letters and placing an arrow above the letters. There is no endpoint in a ray.