The arc corresponding to a central angle of 65 in a circle of radius 10 feet measure feet.

Answers

Answer 1

The arc corresponding to a central angle of 65 in a circle of radius 10 feet measures 11.34 feet.

What is Arc of circle?

The arc of circle is defined as the segment of the circumference of a circle.

Given that;

Central angle = 65°

Radius of a circle = 10 feet.

Now, To find arc of circle, we change measure of angle in radian as;

1 degree = π/180 radian

65 degree = 65 x π/180 radian

65 degree = 1.134 radian

Since, Arc = Angle x radius

Arc = 1.134 x 10

Arc = 11.34 feet.

Thus, The arc corresponding to a central angle of 65 in a circle of radius 10 feet measures 11.34 feet.

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Related Questions

x 8 x 7 x 5 x 6 a planned building was going to be 100 feet long, 75 feet deep, and 30 feet high. the owner decides to increase the volume of the building by 10% without changing the dimensions of the depth and the height. what will be the new length of this building?

Answers

The new length of the building will be 110 feet.

Volume of Cuboid:

                              Volume of cuboid is

                        V =  length x breadth x height cubic unit

Given,

The building was going to be 100 feet long, 75 feet deep, and 30 feet high.

Therefore, the volume will be:

               = 75 × 100 × 30 ft³

               = 225000 ft³

Now owner decided increase the volume of the building by 10% without changing the dimensions of the depth and the height.

There was an increase by 10%,

New volume will be,

V' = 225000 + (10% × 225000)

  = 247500 ft³

Therefore, the new length will be:

as,

        Volume =  length x breadth x height

        length  =  Volume/ (breadth x height)

New length will be

                      = 247500/(30 × 75)

= 110 feet

Thus the new length of the building will be 110 feet.

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For Kimberly's P.E final she must either walk or run at least 5 miles this week. She knows it would take her 15 minutes to run a mile and 40 minutes to walk a mile, Kimberly only has 6 hours in which she must accomplish this final. Write an equation that represents Kimberly's P.E final for both walking and running. Define all variables

Answers

The equation for Kilberly's running or walking will be R+4w ≤ 6.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that For Kimberly's P.E final she must either walk or run at least 5 miles this week. She knows it would take her 15 minutes to run a mile and 40 minutes to walk a mile, Kimberly only has 6 hours in which she must accomplish this final.

Let the running is represented by 'R' and walking by 'w". The equation will be written as below:-

R + 4W ≤ 6

Put the running and walking times in the equation above.

15 + ( 4 x 40 ) ≤ 6

175 minute ≤ 6 x 60

175 minutes ≤ 360 minutes.

Therefore, Kimberly covers the distance in less than 6 hours.

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If the area of a square is 139cm squared, what would the length of the side be?

Answers

The length of the side is 11.79cm

How to find the area of the square?

The area is the entire amount of space occupied by a flat (2-D) surface or shape of an object.

On a sheet of paper, draw a square with a pencil.

It is a two-dimensional figure.

The area of a shape on paper is the area it occupies.

Area of a square i= 139cm^2

a^2 = 139

The length of the side (a) = [tex]\sqrt{139}[/tex] = 11.79cm

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Which inequality in vertex form represents the region less than the quadratic function with vertex (-2, 2) and
includes the point (-4, 14) on the boundary?

Answers

Answer:

  (a)  y < 3(x +2)² +2

Step-by-step explanation:

You want to know the inequality representing the region less than the quadratic with vertex (-2, 2) and containing the point (-4, 14).

Vertex form

The vertex form equation for a quadratic with vertex (h, k) and some scale factor 'a' is ...

  y = a(x -h)² +k

For the given vertex (-2, 2), the boundary line equation is ...

  y = a(x -(-2))² +2 = a(x +2)² +2

Scale factor

The value of 'a' is positive when the curve opens upward.

Here, the point (-4, 14) has a y-value greater than that of the vertex, so we know the curve opens upward (a > 0).

The only reasonable answer choice is ...

  y < 3(x +2)² +2

when was the temperature decreasing

Answers

Answer:

I need you to be more specific and answer options. That is the only way anyone can answer this question.

Step-by-step explanation:

solve for x: square root of 3x-4 = 2 times the square root of x-5

Answers

The solution of x for the equation [tex]\sqrt{3x - 4} = 2\sqrt{x-5}[/tex] is x = 16.

Given,

The equation; [tex]\sqrt{3x-4} =2\sqrt{x-5}[/tex]

We have to solve this equation to get the value of x.

That is,

[tex]\sqrt{3x-4} =2\sqrt{x-5}[/tex]

Square both sides to remove square root.

[tex]\sqrt{3x-4} ^{2} = (2\sqrt{x-5} )^{2}[/tex]

We get,

3x - 4 = 4 (x - 5)

That is,

3x - 4 = 4x - 20

Here,

20 - 4 = 4x - 3x

Then,

x = 16

That is,

The solution of x for the equation [tex]\sqrt{3x - 4} = 2\sqrt{x-5}[/tex] is x = 16.

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f(x) = −3|x −1| + 4

Answers

Answer:

Find the Inverse f(x)=3x-1/4. f(x)=3x−14 f ( x ) = 3 x - 1 4. Step 1. Write f(x)=3x−14 f ( x ) = 3 x - 1 4 as an equation. y=3x−14 y = 3 x - 1 4.

Step-by-step explanation:

On a standardized exam, the scores are normally distributed with a mean of27 and a standard deviation of 4. Find the Z-score of a person who scored 17on the exam.

Answers

mean = 27

standard deviation = 4

n = 17

z = ?

[tex]\begin{gathered} \text{ z = }\frac{X\text{ - }\mu}{\sigma} \\ \text{ z = }\frac{27\text{ - 17}}{4} \\ \text{ z = }\frac{10}{4} \\ \text{ z = 2.5} \end{gathered}[/tex]

Result :

z = 2.5

The speeders soccer team charge $12 to watch each car at a fundraiser car wash. The team collected a total of $672 by the end of the day. How many cars did the team was?

Answers

Answer:

they washed 55 cars

Step-by-step explanation:

I did the math good luck

among all rectangles that have a perimeter of 48, find the dimensions of the one whose area is largest. write your answers as fractions reduced to lowest terms.

Answers

among all rectangles that have a perimeter of 48 Then the  dimensions of the one whose area is largest is 12 by 12

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2(L + W)

L is the length of the rectangle

W is the width

Given that the perimeter is 156, hence;

2(L + W) = 48

2L + 2W = 48

L + W = 24

W = 24 - L

The area of the rectangle is expressed as:

A = LW

A = L(24-L)

A = 24L - L^2

To get the dimensions of the one whose area is largest, dA/dL = 0

dA/dL = 24 - 2L

0 = 24 - 2L

2L = 24

L = 24/2

L = 12

Recall that 2(L+W) = 48

2(12 + W) = 48

12 + W = 24

W = 24 - 12

W = 12

Hence the dimensions of the one whose area is largest is 12 by 12

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WILL GIVE BRAINLIEST
find all values of x for which (f∘g)(x)=(g∘f)(x).
f(x)=x/(x+2), g(x)=x^2

Answers

Step-by-step explanation:

(f○g)(x) means f(g(x))

(g○f)(x) means g(f(x))

f(g(x)) means to use the expression of g(x) as input to f(x). so, we replace all simple x in f(x) by g(x) = x².

f(g(x)) = x²/(x² + 2)

using the same principle we get for

g(f(x)) = (x/(x + 2))² = x²/(x + 2)²

now we need to solve

x²/(x² + 2) = x²/(x + 2)²

let's multiply both sides with both denominators :

x²(x + 2)² = x²(x² + 2)

x²(x² + 4x + 4) = x²(x² + 2)

so, one solution is clear : x = 0.

because then we have 0 = 0.

for x <> 0 we can divide both sides by x² and get

x² + 4x + 4 = x² + 2

4x + 4 = 2

4x = -2

x = -2/4 = -1/2

both expressions are equal for x = 0 and x = -1/2

17x-5
16x + 3 what is x

Answers

Answer:

x = 8

Step-by-step explanation:

17x-5 = 16x + 3

Step 1: Subtract 16x from both sides.

17x−5−16x=16x+3−16x

x−5=3

Step 2: Add 5 to both sides.

x−5+5=3+5

x=8

The solution to the equation is x = 8.

To solve the equation 17x - 5 = 16x + 3 and find the value of x, we can follow these steps:

Start by simplifying both sides of the equation by combining like terms. Add 5 to both sides to move the constant term to the right side of the equation:

17x - 5 + 5 = 16x + 3 + 5

17x = 16x + 8

Next, we want to isolate the x term on one side of the equation.

Subtract 16x from both sides:

17x - 16x = 16x - 16x + 8

x = 8

Therefore, the solution to the equation is x = 8.

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(2x^2+4x-7)(3x-1) use a table

Answers

The solution for the given binomial multiplication is 6x³ + 10x² - 17x - 7

Given,

The binomials; (2x² + 4x - 7) (3x - 1)

We can use FOIL method to solve this;

FOIL method;

Binomials are multiplied using the FOIL Method. An acronym is FOIL FOIL. First, Outside, Inside, and Last are the letters that stand for the order of multiplying terms. To get your answer, multiply the first term, then the outside term, then the inside term, then the last term, and then combine terms that are similar.

Here,

(2x² + 4x - 7) (3x - 1)

= (3x × 2x²) + (3x × 4x) - (3x × 7) - 2x² + 4x - 7

= 6x³ + 12x² - 21x - 2x² + 4x - 7

= 6x³ + 10x² - 17x - 7

That is,

The solution for the given binomial multiplication is 6x³ + 10x² - 17x - 7

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"Complete the table" can someone help on thi thank you!

Answers

Answer:

2000 pounds is 1 ton

6 tons is 12,000

7 tons is 14,000

16,000 pounds is 8 tons

The measures of the exterior angles of an octagon are x°x°, 2x°2x°, 3x°3x°, 4x°4x°, 5x°5x°, 6x°6x°, 9x°9x°, and 10x°10x°. Solve for xx.

Answers

Answer:

x=10

Step-by-step explanation:

Given: =The exterior angles of an octagon are x°,2x°,3x°,4x°,5x°,6x°,7x°,8x°.

Then, x°+2x°+3x°+4x°+5x°+6x°+7x°+8x° =360°

⇒ 36x = 360

⇒ x= 10

Write the equation of a line in slope-intercept form that goes through points (1,5) and (9, -6).

Answers

Answer:

y-21 = 4(x+9)

y=-x+7
Graph it also if you can

Answers

Answer:

Hope this helps!!

The point-slope form of a line that has a slope of 2/3 and passes through point (6,0) is shown?
y-0=2/3(x-6)
What is the equation in slope-intercept form?
y-2/3x-12
y-2/3x-6
y-2/3x-4
y-2/3x-8​

Answers

Answer:

See below

Step-by-step explanation:

y-0=2/3(x-6)         (expand L side)

What is the equation in slope-intercept form?

y = 2/3 x - 4

Find x of the triangle

Answers

Answer:

x=65

Step-by-step explanation:

47+68+x=180

x=65

:]

Answer: 65 = x

Step-by-step explanation:

1) First find the mini triangles, left and right angles

We will be calling the left one A and the right one B.

2) Next use triangle sum to find B.

62 + 50 + b = 180

b=68

3) Use triangle sum again to find A.

53 + 80 + a = 180

a = 47

4) Use triangle sum to find the top mini angle.

47 + 68 + c = 180

c = 65

5) Since x is in the vertical angle of c, they are equal

c = x

65 = x

The distance between Q(-1, a) and P(3, -2) is 4√5. Find all possible values of a

Answers

The numerical values of a in the points Q(-1, a) and P(3, -2) with a distance of 4√5 are  6 and -10.

What is the numerical value of a?

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Given the data in the question;

Point Q( -1, a )

x₁ = -1y₁ = a

Point P( 3, -2 )

x₂ = 3y₂ = -2Distance D = 4√5

To find the numerical value of a, plug the given coordinates into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

4√5 = √( ( 3 - (-1) )² + ( -2 - a )² )

4√5 = √( ( 3 - (-1) )² + ( -2 - a )² )

Square both sides

( 4√5 )² = ( 3 - (-1) )² + ( -2 - a )²

( 4√5 )² = ( 3 + 1 )² + ( -2 - a )²

( 4√5 )² = ( 4 )² + ( -2 - a )²

80 = 16 + ( -2 - a )²

80 - 16 = ( -2 - a )²

64 = ( -2 - a )²

( -2 - a )² = 64

Expand the parenthesis

( -2 - a )( -2 - a ) = 64

a² + 4a + 4 = 64

a² + 4a + 4 - 64 = 0

a² + 4a - 60 = 0

solve for a

( a - 6 )( a + 10 ) = 0

a - 6 = 0, a + 10 = 0

a = 6, a = -10

Therefore, the values of a are 6 and -10.

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Mike and Raymond each read the same book.Mike reads 182 pages in 7 hours.Raymond reads 168 pages in 6 hours. Based on the rates which statement is true? select TWO correct choices
A.Mike reads faster than Raymond.
B.Raymond reads faster than mike.
C.Mike reads 2 more pages than raymond in one hour.
D.Raymons reads 52 pages in 3 hours.
E.Mike can read 13 pages in half an hour.

Answers

Answer:

B and c

Step-by-step explanation:

182/7=26

168/6=28

Can someone answer this please?

Answers

1. The cheapest meat is Ms barker free Ronge whole chicken in $6 per kilo.

2. The cost of 200 grams of honey leg ham is $3.4.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The cost of all meat is shown in figure.

Now,

By the figure, we get;

The cheapest meat is Ms barker free Ronge whole chicken which is in

$6 per kilo.

And, The cost of honey leg ham = $17 per kilo

Since, 1 kilograms = 1,000 grams

The cost of 1 gram of honey leg ham = $17/1000

So, The cost of 200 grams of honey leg ham = 200 × 17 / 1000

                                                                      = $3.4

Thus,

1. The cheapest meat is Ms barker free Ronge whole chicken in $6 per kilo.

2. The cost of 200 grams of honey leg ham is $3.4.

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Write a polynomial P(x) of degree 4 and with zeros 1, 3/2, (which of multiplicity one) and 0 (of multiplicity 2).

Answers

Answer

The polynomial is

P(x) = 2x⁴ - 5x³ + 3x²

Explanation

We are told to write a polynomial of degree 4 with zeros (roots)

x = 1

x = (3/2) = 1.5

x = 0

x = 0 (multiplicity of 2 means it appears twice)

So, we can piece together the polynomial

P(x) = (x - 1) (x - 1.5) (x) (x)

We can write this as

P(x) = x² (x - 1) (x - 1.5)

= (x³ - x²) (x - 1.5)

We can multiply through by 2 to turn the 1.5 into a whole number

P(x) = (x³ - x²) (2x - 3)

= x³ (2x - 3) - x² (2x - 3)

= 2x⁴ - 3³ - 2³ + 3x²

= 2x⁴ - 5x³ + 3x²

Hope this Helps!!!

. let ???? be a discrete random variable that is uniformly distributed over the set of integers in the range [????, ????], where ???? and ???? are integers with ???? < 0 < ????. find the pmf of the random variables max(0,????) and min(0,????).

Answers

Filling in the blanks, I assume you're talking about a random variable [tex]X[/tex] distributed uniformly over the integers [tex]a\le x\le b[/tex]. Let both [tex]a,b>0[/tex] so we can write the support of [tex]X[/tex] as the set

[tex]S = \{-a, -a+1, -a+2, \ldots, -1, 0, 1, \ldots, b-2, b-1, b\}[/tex]

Note that [tex]|S| = a+b+1[/tex], so the PMF of [tex]X[/tex] is

[tex]\mathrm{Pr}(X=x) = \begin{cases}\frac1{a+b+1} & \text{if } x\in S \\ 0 & \text{otherwise}\end{cases}[/tex]

Let [tex]Y=\max\{0,X\}[/tex]. Then

[tex]Y = \max\{0,X\} = \begin{cases}0 & \text{if } X\le0 \\ X & \text{if } X>0 \end{cases}[/tex]

which tells us

[tex]\displaystyle \mathrm{Pr}(Y=0) = \mathrm{Pr}(X\le0) = \sum_{x=-a}^0 \mathrm{Pr}(X=x) = \frac{a+1}{a+b+1}[/tex]

and

[tex]\displaystyle \mathrm{Pr}(Y\neq0) = \mathrm{Pr}(X>0) = \sum_{x=1}^b \mathrm{Pr}(X=x) = \frac b{a+b+1}[/tex]

Hence the PMF of [tex]Y[/tex] is

[tex]\mathrm{Pr}(Y=y) = \begin{cases}\frac{a+1}{a+b+1} & \text{if } y=0 \\\\ \frac b{a+b+1} & \text{otherwise}\end{cases}[/tex]

Let [tex]Z=\min\{0,X\}[/tex]. The same reasoning applies, but this time

[tex]Z = \min\{0,X\} = \begin{cases} 0 & \text{if } X \ge 0 \\ X & \text{if } X < 0 \end{cases}[/tex]

Now

[tex]\displaystyle \mathrm{Pr}(Z=0) = \mathrm{Pr}(X\ge0) = \sum_{x=0}^b \mathrm{Pr}(X=x) = \frac{b+1}{a+b+1}[/tex]

and

[tex]\displaystyle \mathrm{Pr}(Z\neq0) = \mathrm{Pr}(X<0) = \sum_{x=-a}^{-1} \mathrm{Pr}(X=x) = \frac a{a+b+1}[/tex]

so that

[tex]\mathrm{Pr}(Z=z) = \begin{cases}\frac{b+1}{a+b+1} &\text{if }z=0 \\\\ \frac a{a+b+1} & \text{otherwise}\end{cases}[/tex]

How can you determine which of the numbers below is greatest 13/20, 5/8, 3/5, 3/10

Answers

Answer:

13/20 is the greatest because it is equal to 65% of 100%.

Step-by-step explanation:

5/8 = to 12.5x5=62.5%. 3/5= 20x3=60%. 3/10 = 10x3=30%. So 13/20 is the greatest.

the population of rabbits on an island is growing exponential in the year 2008, the population of rabbits was 7100 and by the year 2013 the population had grown to 8900 . Predict the population of rabbits by the year 2023 to the nearest whole number

Answers

The population of rabbits by the year 2023  is 13985.

What will the population be?

We have to use the following exponential function. This will be:

y = a b^t

In 2008 means, t=0

So we have 7100 = a b^0

a = 7100

y = 7100b^t

In 2013 means t = 2013-2008 =5

8900 = 7100 b⁵

b⁵ = 89/71

b = 1.046

So the equation will be

y = 7100 (1.046)^t

For 2023, t=2023-2008= 15

y = 7100(1.046)¹⁵

= 13985

The population is 13985.

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-24 = -12v solve for v and simplify as much as posible

Answers

Divide both sides of the equation by the coefficient of variable:< br />Remove the parentheses:< br />Calculate the product or quotient:< br />Answer: < br />

Answer:

divide both sides by the coefficient of v which is 12

-24/-12=-12v/-12

-2=v

Calculate the number of students per teacher at West Elementary school

Answers

Ok, so

We know that, at West Elementary school, there are 438 students and 22 full-time teachers. We want to know the number of students per teacher. This is:

[tex]\frac{438\text{students}}{22\text{teachers}}=19.91\frac{students}{teacher}[/tex]

10-2y=46 solve for y

Answers

Answer:

-18

Step-by-step explanation:

first subtract ten from both sides now you're left with -2y=36 ,lastly divide both sides by -2 and you're left with y= -18

Find x of the triangle

Answers

Answer: x = 22

Step-by-step explanation:

       We will use the exterior angle theorem to solve. First, we will write an equation, then we will solve by combing like terms are using inverse operations.

(6x - 7) = (2x) + (103 - x)

6x - 7 = 2x + 103 - x

6x - 7 = x + 103

5x = 110

x = 22

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