URGENT !!
The circle below has center V, and its radius is 6 in. Given that mZWVX= 170°, find the length of the major arc WYX.
Give an exact answer in terms of , and be sure to include the correct unit in your answer.

URGENT !!The Circle Below Has Center V, And Its Radius Is 6 In. Given That MZWVX= 170, Find The Length

Answers

Answer 1

The length of the major arc WYX is (11/3)π inches or 11.62π inches.

What are the major and minor arcs of a circle?

A minor arc is an arc that is smaller than a semicircle, which means its central angle measures less than 180 degrees and a major arc is an arc that is larger than a semicircle, which means its central angle measures more than 180 degrees.

Since the measure of angle ZVX is 90 degrees (since VX is a radius of the circle), we know that the measure of angle ZVW is 170 - 90 = 80 degrees.

Now, we can use the fact that the sum of the measures of angles in a triangle is 180 degrees to find the measure of angle VWX:

mVWX = 180 - mZVW - mZVX

mVWX = 180 - 80 - 90

mVWX = 10 degrees

Therefore, the length of the minor arc WY is 10/360 times the circumference of the circle:

length of minor arc WY = (10/360) × 2π × 6 in

length of minor arc WY = (1/18)π × 6 in

length of minor arc WY = (1/3)π in

Since the length of the major arc WYX is equal to the circumference of the circle minus the length of the minor arc WY, we have:

length of major arc WYX = 2π × 6 in - (1/3)π in

length of major arc WYX = (11/3)π in

Therefore, the length of the major arc WYX is (11/3)π inches, or approximately 11.62π inches.

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Related Questions

solve: 9^2x+1=81^x-2 /3^x

Answers

Answer:

x=-4

Step-by-step explanation:

\( {9}^{2x + 1} = {81}^{x - 2} \div {3}^{x} \)

\( {3}^{2(2x + 1)} = {3}^{4(x - 2)} \div {3}^{x} \)

\( {3}^{4x + 2} = {3}^{4x - 2} \div {3}^{x} \)

\( {3}^{4x + 2} = {3}^{4x - 2 - x} \)

\(4x + 2 = 3x - 2\)

\(4x - 3x = - 2 - 2\)

\(x = - 4\)

(3.1x10^6) x (2.7x10^-2)

Answers

The given expression is

(3.1 x 10^6) x (2.7 x 10^-2)

It becomes

3.1 x 2.7 x 10^6 x 10^- 2

8.37 x 10^6 x 10^- 2

By applying the rule of exponents, it becomes

8.37 x 10^(6 - 2)

= 8.37 x 10^4

find the range of the function y = 1/2x + 2 if the domain is {-4, -2, 0}

Answers

The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.

What is function?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.

The given function is,

y = 1/2 x + 2.

Also, the domain of the function is {-4, -2, 0}.

Since, the domain of the functions defines the values of x,

And range defines the value of y in function.

The value of y at x = -4

y = 1/2(-4) + 2 = -2 + 2 = 0

At x = -2,

y = 1/2(-2) + 2 = -1 + 2 = 1

At x= 0,

y = 1/2 (0) + 2 = 2

The values of y are 0, 1 and 2.

Hence, the range of the function is {0, 1, 2}.

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A population numbers 12,000 organisms initially and grows by 17.5% each year.
Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a â‹… b t where
P =

Answers

A population numbers 12,000 organisms initially and grows by 17.5% each year. The growth function of the population is P =  12,000 x 1.175^t

An exponential growth function can be written as:

P = A (1 + r)ⁿ

Where:

P  = quantity after n periods

n = number of periods

r = growth rate per period

A = initial quantity

In the given problem, the period is the number of years t

A = 12,000

r = 17.5% = 0.175

Hence, the growth function:

P = 12,000  (1 + 0.175)^t

P = 12,000 x 1.175^t

Your question is incomplete, but most probably your question was:

A population numbers 12,000 organisms initially and grows by 17.5% each year. Suppose P represents population, and t the number of years of growth, write the function in terms of t.

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Click “show your work” and graph the absolute value function shown below.

f(x) =|x +2| - 1

Answers

The graph of the function  is attached

How to determine the graph of the function

From the question, we have the following parameters that can be used in our computation:

f(x) = |x - 2| + 1

The equation of the graph is an absolute value graph

An absolute value graph is represented as

y = |x|

The function is shifted right by 1 unit and up by 1 unit

So, we have

f(x) = |x - 2| + 1

Next, we graph the function

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Click show your work and graph the absolute value function shown below.f(x) =|x +2| - 1

Out of the 10 people in Carla’s office, 6 regularly watch the evening news on TV. a) What fraction of the workers watch the evening news? b) What fraction DO NOT watch the news?

Answers

6/10 people watch the evening news, 3/5 if simplified

4/10 do not watch the news, 2/5 if simplified

Answer:

3/5 watched the evening news

2/5 did NOT watch the news

Step-by-step explanation:

reduce 6/10 = 3/5

1 - 6/10 = 4/10 = 2/5

A data set whose original x values ranged from 41 through 78 was used to generate a regression equation of ŷ=5.3x – 21.9. Use the regression equation to predict the value of y when x=70.392.9Meaningless result402.1349.1

Answers

We have the equation, and we will replace the x-value to find the regression value, as follows,

\(\begin{gathered} y=5.3x-21.9 \\ y=5.3(70)-21.9 \\ y=349.1 \end{gathered}\)

The answer is d.349.1

I’m confused on this question.

Im confused on this question.

Answers

Answer:

The second box plot represents the data

Step-by-step explanation:

A box and whisker plot gives you the five-number summary of the data, which includes:

the minimum (lowest value of the data)

the maximum (highest value of the data)

Q1 (25% of the data lies below this point)

Q3 (75% of the data lies below this point), and

the median (the middle of the data).

The two ticks at the far left and far right of the box-and-whisker plot are the minimum and maximum respectively.  From the data, we see that the minimum is 5 and the maximum is 10.

Although both plots have a minimum value of 5, only the second plot has the accurate maximum at 10.

El mayor es Novecientos mil cuatrocientos ochenta y nueve , y cuarenta mil dos

Answers

El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

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Sarah is tying bows that require a ribbon that is 2 1/5 inches long. If she needs to make 15 bows. What is the total amount of ribbon she will need?

Answers

Answer:

Sarah will need 33 inches of ribbon

Step-by-step explanation:

Multiply 2 1/5 or 2.20 (inches) by 15 (bows)

If a three-digit number is divided by 5 or by 6, remainder is 1 in each case. What is the least such three-digit number?

Answers

Answer:

The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.

Step-by-step explanation:

This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.

Solve the inequality and enter your solution as an inequality comparing the
variable to a number.
x-30 > 30

Answers

Answer:

\(x > 60\)

Step-by-step explanation:

\(x-30 > 30\)
\(x > 60\) (add 30 onto both sides of the inequality)

This data set represents the widths in yards of pieces of fabric used by a sewing group.
What is the mean of this data set?

{1 1/3, 1/4, 2/3, 1/2, 1 1/4}
Enter your answer as a fraction in simplest form in the box.

Answers

Answer:

\( \frac{4}{5} \)

Simplify this expression 10⁰​

Answers

Answer:

0

Step-by-step explanation:

10 to the power of zero is zero

Answer:

1

Step-by-step explanation:

Anything with an exponent of zero always equals 1

HELP ASAP

FIRST GET BRAINIEST

I LOVEEE ALL YALL !!!!

HELP ASAP FIRST GET BRAINIESTI LOVEEE ALL YALL !!!!

Answers

the last net, it's the only one with a rectangle and 4 triangels

Answer:

D

Step-by-step explanation:

Again all it takes is for you to image wat the shape would fold into.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

Happy to help! :)

Can someone please help, ty!!

Can someone please help, ty!!

Answers

the answer would be -2 :)

Please help solve this

Please help solve this

Answers

Answer:

BC~=AD (GIVEN )

CBA=CDA (altanate angles BC=AD)

C=A (altanate angles (BC=AD)

AAS

brainyliest please

The arc length of this circle is 9.42 inches. Determine the length of the radius.PC90ABComplete your work in the space provided.

The arc length of this circle is 9.42 inches. Determine the length of the radius.PC90ABComplete your

Answers

We know that:

\(S=\theta\times r\)

Then:

\(r=\frac{S}{\theta}\)

So:

\(90\degree\times\frac{\pi}{180\degree}=1.571rad\)

Now:

\(r=\frac{9.42in}{1.571rad}=5.996\text{ in}\)

Can you please answer this question?

Can you please answer this question?

Answers

B, because wearing athletic shoes does not make you a better dancer.

The Vilas County News earns a profit of $20 per year for each of its 3,000 subscribers. Management projects that the profit per subscriber would increase by 1¢ for each additional subscriber over the current 3,000. How many subscribers are needed to bring a total profit of $113,100?

Answers

Answer:

850

Step-by-step explanation:

Current profit per year = $ 20

Number of subscribers = 3000

For each additional subscriber over 3000, the profit will increase by 1 cent or by $ 0.01. For example, for 3001 (3000 + 1) subscribers, the profit will be $ 20.01 per year. Similarly, for 3002 (3000 + 2) subscribers, the profit will be $20.02 per year and so on.

So, for x additional subscribers over 3000, the profit will increase by 0.01(x). i.e. for (3000 + x) subscribers, the profit will be $(20 + 0.01x)

Since, profit per each subscriber is $(20 + 0.01x), the profit for (3000 + x) subscribers will be:

Total profit = Number of subscribers x Profit per each subscriber

Total profit = (3000 + x)(20 + 0.01x)

We want to calculate how many subscribers will be needed to bring a profit of $109,725. So, we replace Total profit by $109,725. The equation now becomes:

Using quadratic formula, we can solve this equation as:

x = -5850 is not a possible solution as this would make the total number of subscribers to be negative. So we reject this value.

Therefore, the answer to this question is 850. 850 more subscribers are needed to being a total profit of $109,725

Lyla goes out to dinner with her freinds where the subtotal is $23.89. A 7% tax and 18% tip is added to the subtotal. How much did she pay in total?

Answers

Lyla pays  $ 24.14 in total.

What is the total amount?

To add two or more numbers and determine the final total, use the sum. A series of any form of numbers, known as addends or summands, is added; the outcome is their sum or total.

Here, we have

Given: Lyla goes out to dinner with her friends where the subtotal is $23.89. A 7% tax and 18% tip are added to the subtotal.

we have to find out how much did she pay in total.

= $23.89 + 7% + 18%

= $23.89 + 7/100 + 18/100

= $23.89 + 0.07 + 0.18

= $ 24.14

Hence, Lyla pays  $ 24.14 in total.

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Which expression is always equivalent to sin x when 0° < x < 90°?
(1) cos (90°- x)
(3) cos (2x)
(2) cos (45° - x)
(4) cos x

Answers

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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i need help with graphing​

Answers

Answer:

Pls mark brainleist

Step-by-step explanation:

Graphing formula: y = mx + b

y and x always stay in the equation

m is the slope

and b is the y intercept

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

The length KL is 8 units

The value of x is undefined

The length KL is 12 units

Calculating the length KL

From the question, we have the following parameters that can be used in our computation:

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Calculating the value of x

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Calculating the length KL

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

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What is the sum?

7
7
8
+
4
3
8

Answers

1,216

Step by step explanation

PLEASE HELP Evaluate: (-2)5

Answers

Answer:

-10

Step-by-step explanation:

Given f (x) = 4x-3, g(x) = x^3 +2x
Find (f-g) (4)

Answers

Answer:

\((f-g)(4) = -59\)

Step-by-step explanation:

We are given the two functions:

\(f(x)=4x-3\text{ and } g(x) = x^3 +2x\)

And we want to find the value of:

\((f-g)(4)\)

Recall that this is equivalent to:

\((f-g)(4) = f(4) - g(4)\)

Find f(4):

\(f(4) = 4(4)-3 = 13\)

And find g(4):

\(g(4) = (4)^3 + 2(4) =72\)

Substitute:

\((f-g)(4) = (13)-(72)\)

And subtract. Hence:

\((f-g)(4) = -59\)

Step-by-step explanation:

I love this question!

So there are a couple different ways of solving this. You feel free to ignore whichever one makes less sense.

Subtracting First

The first option is taking f(x) and g(x) and subtracting them, then introducing the number.

The calculation:

f(x) - g(x)

Substitute.

4x - 3 - (x^3 + 2x)

Multiply out the negative.

4x - 3 - x^3 - 2x

Rewrite.

-x^3 + 4x - 2x - 3

Simplify.

-x^3 + 2x - 3

Then, replace x with 4.

-(4)^3 + 2(4) - 3

Simplify.

-64 + 8 - 3

Add.

-59

Making x = 4 first

Here, we'll do what's on the tin. Find f(4) and g(4), then subtract them.

f(x) = 4x - 3

f(4) = 4(4) - 3

f(4) = 16 - 3

f(4) = 13

Then find g(4):

g(x) = x^3 + 2x

g(4) = (4)^3 + 2(4)

g(4) = 64 + 8

g(4) = 72

Then, subtract these two:

f(4) - g(4) = 13 - 72

f(4) - g(4) = -59

Answer:

Either way, the answer is -59

In this picture, the measure of angle ois 1 radian.

A. True
B. False

In this picture, the measure of angle ois 1 radian.A. TrueB. False

Answers

Answer: the answer is true I think

Step-by-step explanation:

Dertermine the quotient of 3/7 divided by 2/3 pls help

Answers

When you divide, you multiply by the other fraction’s reciprocal
= 3/7 * 3/2 = 9/14
Answer: 9/14

Answer: 9/14

Step-by-step explanation:

hope this helps!

On a test of 40 problems joe got 50% of this prolem correct. How many did he get correct?

Answers

Answer:

20 questions

Step-by-step explanation:

50% of 40 is 20

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