Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest hundredth

Answers

Answer 1

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length \(=\dfrac{\theta}{360^\circ}X2\pi r\)

\(=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)\)

(b)Area of the sector

Area of the sector \(=\dfrac{\theta}{360^\circ}X\pi r^2\)

\(=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)\)

Answer 2

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:


Related Questions

Please help meeeee !!!!!!!!!!!!

Please help meeeee !!!!!!!!!!!!

Answers

Converting to percentages from decimals is:

0.75 = 75%0.33 ≈ 33%0.25 = 25%1.0 = 100%0.50 = 50%How to solve

To convert decimals to percentages, you simply multiply the decimal by 100 and add a percentage sign.

Here's the step-by-step conversion for each decimal:

0.75

0.75 * 100 = 75

So, 0.75 = 75%

0.33

0.33 * 100 ≈ 33

So, 0.33 ≈ 33%

0.25

0.25 * 100 = 25

So, 0.25 = 25%

1.0

1.0 * 100 = 100

So, 1.0 = 100%

0.50

0.50 * 100 = 50

So, 0.50 = 50%

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Which expression has a sum of 42?

Answers

Answer: Sorry meant to send this*

Step-by-step explanation:

Which expression has a sum of 42?

Jacob spent 5 hours skiing and snowboarding. He skied for 2 hours 10 minutes.
How long did he spend snowboarding?

Answers

2 hr and 50 minutes

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

Find the area under the standard normal distribution curve between z=0 and z=0.31

Answers

Using the z-score values given, the area under the standard normal distribution curve is 0.123 squared units

What is the area under standard normal distribution curve

The total area under the standard normal distribution curve is 1. Therefore, if we have a z-score, i.e., how far a value is above or below the mean, we can determine the probability of a value less than or greater than that.

The points are

z₁ = 0z₂ = 0.31

A = z₂ - z₁

z₂ = 0.6230

z₁ = 0.5000

A = 0.6230 - 0.5000

A = 0.123 squared units

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A car consumes 110 litres of fuel withira a distance of 250km What is the rate of fuel consumption in km/L?​

Answers

If a car consumes 110 liters of fuel with in a distance of 250 km, then the rate of fuel consumption is 2.5 km/liter

The distance travelled by the car with 110 liters of fuel = 250km

To find the rate of fuel consumption we have to apply the unitary method

The distance travelled by the car with 1 liters of fuel = The distance travelled by the car with 110 liters of fuel /110

Substitute the values in the equation

The distance travelled by the car with 1 liters of fuel = 250/110

= 2.5 km

So a car consumes 1 liters of fuel to cover 2.5 km

The rate of fuel consumption = 2.5 km/liter

Hence, if a car consumes 110 liters of fuel with in a distance of 250 km, then the rate of fuel consumption is 2.5 km/liter

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The graph shows the height y(in feet) of a kite x in seconds after you start letting out the string. Find the slope of the graph and interpret(explain what it means)

Answers

This needs a graph to be able to answer this question.

\(\sqrt{45} +\sqrt{54} +\sqrt{56} =\)
what's the answer to that?

Answers

\(\sqrt{45}+\sqrt{54}+\sqrt{56}\)

\(\sqrt{45} = 3\sqrt{5}\)

\(\sqrt{54} = 3\sqrt{6}\)

\(\sqrt{56} = 2\sqrt{14}\)

so it's equal to:

\(=3\sqrt{5}+3\sqrt{6}+2\sqrt{14}\)

Hope I helped you!Success!

by a random romanian guy

If I put v it’s that thingy that looks like the v with the line so the answer is v45+v54+2v14

solve for x: x²/x-3=x+2/2x-5​

Answers

Answer:

x=2

Step-by-step explanation:

x2

x

+−3=x+x+−5

Multiply all terms by x and cancel:

x2+−3x=xx+xx+−5x

x2−3x=2x2−5x(Simplify both sides of the equation)

x2−3x−(2x2−5x)=2x2−5x−(2x2−5x)(Subtract 2x^2-5x from both sides)

−x2+2x=0

x(−x+2)=0(Factor left side of equation)

x=0 or −x+2=0(Set factors equal to 0)

x=0 or x=2

Check answers. (Plug them in to make sure they work.)

x=0(Doesn't work in original equation)

x=2(Works in original equation)

Answer:

x=2

PLEASE HELP ME OUT

An isosceles triangle has a side measurement of 13 inches and a height of 5 inches. How long is the entire base of the isosceles triangle?

PLEASE HELP ME OUT An isosceles triangle has a side measurement of 13 inches and a height of 5 inches.

Answers

The length of the entire base of isosceles triangle is BC = 24 inches

What Is an Isosceles Triangle?

A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.

In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle

The three types of Isosceles Triangles are :

Isosceles acute triangle

Isosceles right triangle

Isosceles obtuse triangle

Given data ,

Let the isosceles triangle be represented as ABC

Now , the height of the triangle is AD is h = 5 inches

The side measurement of the isosceles triangle is s = 13 inches

So , the triangle ADC is a right angled triangle

And , the side DC of the triangle from the Pythagorean theorem is

DC = √ ( 13 )² - ( 5 )²

DC = √ ( 169 - 25 )

DC = 12 inches

And , the base of the triangle is BD + DC = 12 + 12

So , the base of the triangle BC = 24 inches

Hence , the triangle is having a base of 24 inches

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someone please help i am very confused.

someone please help i am very confused.

Answers

Answer:

Rectangle A's length = 22 ft., Rectangle B's length = 44 ft.

Step-by-step explanation:

Since we know that the length of Rectangle B is twice the length of Rectangle A, we know that 2*(3x + 7) = Rectangle B's length.

We must set this equation to the dimensions already given for Rectangle B, which gives us 2(3x + 7) = 2 (5x - 3).

Using the distributive property gives us 6x + 14 = 10x - 6 and solving for x gives us x = 5.

We must plug five into the original dimensions to find that the lengths of Rectangles A and B are 22 feet and 44 feet respectively.

Which equation is correct?

427 × 3 = 400 × 3 + 20 × 3 + 7 × 3

427 × 3 = 400 + 20 × 3 + 7 × 3

427 × 3 = 400 × 3 + 20 × 3 + 7

427 × 3 = 4,000 × 3 + 200 × 3 + 70 × 3

Answers

Answer:

A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3

Step-by-step explanation:

\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)

Therefore, the first option is correct

5x-3(-5y+6x) +4y i need help please

Answers

To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.

Using \(\displaystyle\sf \) tags for formatting, the expression becomes:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

First, we simplify the expression within the parentheses:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

\(\displaystyle\sf 5x+15y-18x+4y\)

Next, we can combine the like terms:

\(\displaystyle\sf 5x-18x+15y+4y\)

\(\displaystyle\sf -13x+19y\)

Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Hi can someone please help me with these!

Hi can someone please help me with these!
Hi can someone please help me with these!

Answers

Answer:

64=18

Step-by-step explanation:

f(x)= 4x-1 and g(x) = sqr root -x+6(f◦g)(x)=give domain=(g◦f)(x)= give domain

f(x)= 4x-1 and g(x) = sqr root -x+6(fg)(x)=give domain=(gf)(x)= give domain

Answers

The given functions are

\(\begin{gathered} f(x)\text{ = }4x\text{ - 1} \\ g(x)\text{ = }\sqrt[]{-\text{ x + 6}} \end{gathered}\)

To find (fog)(x), we would substitute x = g(x) into f(x). We have

\((fog)(x)\text{ = 4(}\sqrt[]{-\text{ x + 6}})\text{ - 1}\)

To find the domain of (fog)(x), we would write the value inside the square root as an inequality that is greater than or equal to zero and solve for x. We have

- x + 6 ≥ 0

- x ≥ - 6

Dividing both sides of the inequality by - 1, we have

x ≤ 6

We would exclude any value greater than 6 from the domain. Thus,

Domain = (- infinity, 6]

To find (gof)x), we would substitute x = f(x) = 4x - 1 into g(x). We have

\(\begin{gathered} (\text{gof)(x) = }\sqrt[]{-\text{ (4x - 1) }+\text{ 6}}\text{ = }\sqrt[]{-\text{ 4x + 1 + 6}}\text{ } \\ (\text{gof)(x) = }\sqrt[]{-\text{ 4x + 7}} \end{gathered}\)

To find the domain, we have

- 4x + 7 ≥ 0

- 4x ≥ - 7

Dividing both sides of the inequality by - 4, we have

x ≤ 7/4

We would exclude any value greater than 7/4 from the domain. Thus,

Belief in UFOs A survey found that of people believe that they have seen a UFO. Choose a sample of people at random. Find the probability of the following. (a) At least 3 people believe that they have seen a UFO.(b) 2 or 3 people believe that they have seen a UFO.

Answers

Answer:

b is the answer am not sure you know

Answer:

a) 3/10

b)3/10

Step-by-step explanation:

let the sample of people be 10

so,

a) total outcome=10

favourable outcome=3

P(seeing a UFO)= 3/10

b) total outcome=10

favourable outcome=2 or 3

P(seeing a UFO)= 2/10+3/10-(2/10

5/10-2/10

=3/10

the possibility that experimental results are due to chance, or some factor other than the experimental variable, is measured by the __

Answers

The possibility that experimental results are due to chance or some factor other than the experimental variable is measured by the p-value.

The p-value is a statistical measure that provides information about the likelihood of obtaining a particular result due to random chance or some factor other than the experimental variable. In experimental design, a null hypothesis is usually assumed, which states that there is no relationship between the independent and dependent variables. The p-value is then used to assess the strength of evidence against this null hypothesis.

A p-value is calculated based on the data obtained from an experiment and the assumptions of the statistical test used. It is a number between 0 and 1, and it represents the probability of obtaining a result as extreme or more extreme than what was actually observed, given that the null hypothesis is true.

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what is 7,750 divided by 155?

Answers

Answer:

50

Step-by-step explanation:

7,750÷155=50

I have two recipes for cake. The first recipe calls for 2 1/2 cups of flour and the second one calls for 3 1/3 cups of flour. How much flour do I need to make three of each cake?

Answers

\(17\frac{1}{2}\) cups of flour we need to make three of each cake.

What is Fraction?

A fraction represents a part of a whole.

Given that the first recipe calls for 2 1/2 cups of flour and the second one calls for 3 1/3 cups of flour.

We need to make three of each cakes.

\(2\frac{1}{2}\) cups x 3 = \(7\frac{1}{2}\) cups of flour for the first recipe.

And for the second recipe \(3\frac{1}{3}\) cups x 3 = 10 cups of flour.

So in total  \(7\frac{1}{2}\)  cups + 10 cups = \(17\frac{1}{2}\) cups of flour.

Hence,  \(17\frac{1}{2}\) cups of flour we need to make three of each cake.

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Omar is about to start his final semester of college, and he doesn't have enough money saved to afford the $750 he needs in books. He's 21, so he's going to open his own credit card to pay for the books, and then not use it again. His plan is to pay $100 per month toward his bill, until it's paid off. Which credit card offer is the best offer for Omar?​

Answers

It depends on the interest and what his credit score is to be able to get the best offer with low interest. Need more info to answer this correctly.

1. How is typing speed measured? (1 point)
O in characters per second
in characters per minute
O in words per minute
O in words per second

Answers

The correct answer is the second option.

What is typing speed?

Typing speed is the measure of how many correct words are typed in a 60-second time frame.

The average typing speed is 40 words per minute or wpm.

Therefore the correct answer is the second option.

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Correct option is C, The typing speed is measured in words per minute.

How quickly does the average person type?

The typical typing rate is 40 words per minute (wpm). Aim for a typing speed of 65 to 70 words per minute if you want to be really productive. With the appropriate approach, it's simple!

There are various typing tests available. This typing test measures your speed of typing in words per minute. Your WPM score will increase the more you practice typing and the more you measure your typing speed. Only WPM typing is the topic of certain online typing tests and typing test games. The WPM typing test has the drawback of simply teaching you how to type quickly. The WPM typing test does not demonstrate your accuracy.

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Which equation shows a slope of -5 and a y-intercept of (0,1) ?

Answers

Answer:

y = -5x + 1

Step-by-step explanation:

Y= mx +b

m = slope

b = y-intercept

y =  -5x + 1

Answer:

y = -5x + 1

Step-by-step explanation:

Seeing the words "slope" and "y-intercept," I jump immediately to the slope-intercept form of the equation of a straight line:  y = mx + b.

Here we have m = -5 and b = 1:

y = -5x + 1

what is the answer to 5x10?

Answers

5 X 10 = 50 , Hope this helps :)

Answer:

50

Step-by-step explanation:

10

+10

+10

+10

+10

=

50

Find an ordered pair (x, y) that is a solution of the equation.
6x + y = 9

Answers

(1,3). Is an ordered pair that is a solution.

Or

(2,-3)

Solve for the dimensions of the rectangle. Area=length•widthThe length of a rectangle is twice the width. The area is 50cm2. Find the length and the width.

Answers

Let the width be x cm.

Since the length is twice the width, therefore, its length is 2x cm.

The area of the rectangle is

\(2x^2cm^2\)

Accordingly,

\(\begin{gathered} 2x^2=50 \\ x^2=25 \\ x=\pm5 \end{gathered}\)

Since width of the rectangle can't be negative,

therefore, its width is 5 cm and length is 10 cm.

Sally made a profit of $2500 after selling stocks for $19000 after 2.5 years. What was her average annual percentage gain?

13.25%

6.06%

3.78%

Answers

Sally's average annual percentage gain is approximately 5.26%.

To calculate Sally's average annual percentage gain, we can use the formula:

Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100

Profit = $2500

Initial Investment = $19000

Time = 2.5 years

Substituting the values into the formula:

Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100

= (0.1316) * (0.4) * 100

= 5.26

Therefore, Sally's average annual percentage gain is approximately 5.26%.

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Besides 40 and 1, what is one factor of 40?

Answers

Answer:

Step-by-step explanation:

40 x 1 = 40

20 x 2 = 40

10 x 4 = 40

8 x 5 = 40

may sum1 pls help me

may sum1 pls help me

Answers

Answer:

90 counterclockwise or 270 degrees clockwise

If 1 liter = 1.057 quarts, about how many liters are in 1 gallon of milk? Round to the nearest liter.

Answers

Answer:

3.78541 liters (sorry I'm horrible at rounding)

Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 9 13 6 28
Female 20 19 2 41
Total 29 32 8 69
If one student is chosen at random, Find the probability that the student got a C: Correct Find the probability that the student was female AND got a "C": Correct Find the probability that the student was male OR got an "B": Correct If one student is chosen at random, find the probability that the student got a 'C' GIVEN they are female:______.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

________A___ B___ C___ Total

Male____ 9___13___ 6____ 28

Female_ 20__ 19___ 2____ 41

Total___ 29__ 32___ 8____ 69

If one student is chosen at random,

Find the probability that the student got a C:

P(getting C) = (number of C's) / total number

P(getting C) = 8 / 69

Find the probability that the student was female AND got a "C":

P(female and C):

(number of female who got C / total number)

= 2 / 69

Find the probability that the student was male OR got an "B":

P(male OR B) :

(Number of males or B) = (28 + 32) - 13 = 47

= 47 / 90

find the probability that the student got a 'C' GIVEN they are female:______.

P(C given they are female) :

This is the proportion of females who got C

Total Number of females = 41

Females who got C = 2

Hence,

P(C given they are female) = 2 / 41

which of these statements best compares the pair of line segments with the vertex

Answers

Answer:

Line segments have two endpoints and a vertex is a common endpoint where two line segments meet.

Step-by-step explanation:

A line segment is defined as a portion of a line that has two endpoints.

A vertex is defined as the common endpoint of two or more rays or line segments.

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