Find the length of an arc of a circle with radius 18 cm if the arc subtends a central angle of 30°.

Answers

Answer 1

Answer: 9.42 cm.

Step-by-step explanation:

Length of arc is given by :-

[tex]l= \dfrac{x}{360}\times2\pi r[/tex] , where r= radius and x= central angle subtended by arc.

As per given , we have

[tex]x=30^{\circ}\\\\ r=18\ cm[/tex]

Then, the length of arc will be :

[tex]l=\dfrac{30}{360}\times2(3.14)(18)\\\\=\dfrac{1}{12}\times113.04\\\\=9.42\ cm[/tex]

Hence, the length of arc is 9.42 cm.

Answer 2

The length of an arc of a circle with radius 18cm is; L = 9.426cm

Length of an arc

The length of an arc can be evaluated using the formula;

L = (∆/360) × 2πr

Hence, the length of the given arc is;

L = (30/360) × 2 × 3.142 × 18cm

L = 9.426cm

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Related Questions

Lisa had $4.26 in her purse. She bought some school supplies for $2.75. How much money does Lisa have left?

Answers

Answer:

$1.51

Step-by-step explanation:

take 4.26 and subtract 2.75.

Answer:

deretos

Step-by-step explanation:

A cat welghs 10 pounds. What is the error in the measurement?

5%

1%

2%

Answers

Answer:

  5%

Step-by-step explanation:

Assuming the measurement is rounded to the nearest pound, there is the potential for the reported value to differ by 1/2 pound from the measured value. The precision of the measurement is thus ...

  (0.5 lb)/(10.0 lb) = 5/100 = 5%

__

Unless we know the cat's actual weight, we cannot determine the error in the measurement. If the cat actually weighs 10 pounds, the error is 0%.

Linda drove 325 miles on a trip. At the end of the trip, the total mileage on the car's odometer read 4013. What was the mileage of the car at the beginning if Linda's trip?

Answers

Answer:

3688

Step-by-step explanation:

Step 1:

4013 - 325 = 3688

Answer:

3688

Hope This Helps :)

4013 - 325 = 3688

The mileage of the car at the beginning of the trip was 3688

One endpoint of a line segment has the coordinates (-5, 12). If the midpoint of the segment is at (2,9), find the
coordinates of the missing endpoint.

Answers

Answer:

(9, 6)

Step-by-step explanation:

Midpoint formula is:

x = (x₁ + x₂)/2y = (y₁ + y₂)/2

Having coordinates of one end- and midpoint (-5, 12) and (2, 9):

x₁ = -5, y₁ = 12x = 2, y = 9

we get the coordinates of the missing endpoint with coordinates (x₂, y₂):

x₂ = 2x - x₁ = 2*2 - (-5) = 4 + 5 = 9y₂ = 2y - y₁ = 2*9 - 12 = 18 - 12 = 6

So the missing point is: (9, 6)

Divide the polynomials 3x^3+x^2-4x+12 over x+2

Answers

Answer:

[tex]3x^{2} -5x+6[/tex]

Step-by-step explanation:

Factor the numerator and it should be [tex](x+2)(3x^2-5x+6) / (x+2)[/tex]. Cancel out both the [tex]x+2[/tex] so that the denominator becomes a 1.

Determine the scale factor for a circle with radius 9 in. to a circle with diameter 24 in. Type your answer as a fraction.

Answers

Answer:

bhhhhhhhhhhhhhhhhbhbhb

Step-by-step explanation:

3/4 is the scale factor for a circle with radius 9 in to a circle with diameter 24 in.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The scale factor of a circle to another is the ratio of their radii

Radius of the first circle = 9 in

Diameter of the second circle = 24 in

Radius = Diameter / 2

Radius of the second circle = 24 / 2

Radius of the second circle = 12 in

Scale factor = (Radius of the first circle) / (Radius of the second circle)

Scale factor = 9/12

Scale factor = 3/4

Hence, 3/4 is the scale factor for a circle with radius 9 in to a circle with diameter 24 in.

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The height of a helicopter above the ground is given by h=3.00t3, where h is in meters and t is in seconds. After 2.00 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?S

Answers

Answer:

7.96 s

Step-by-step explanation:

Given the following :

h = 3t³

After t seconds, that is, t = 2

h = 3(2)³ = 3 × 8 = 24 m

Rate of change, Velocity = dh/dt

dh/dt = 3*3t^(3 - 1) = 3*3t² = 9t²

At t = 2 s ; initial velocity = 9(2)² = 9 × 4 = 36 m/s

From the 3rd equation of motion:

v² = u² + 2gh

Where g = acceleration due to gravity 9.8m/s

upward motion, g = - ve

Displacement = - 24

v² = 36² + 2(-9.8)(-24)

v² = 1296 + 470.4

v² = 1766.4

v = sqrt(1766.4)

= 42.03 m/s

Since final velocity is in downward direction : take it as negative.

Recall, :

Velocity = Displacement / time

Displacement = Velocity × time

Average Velocity = (Initial + final velocity) / 2

Displacement = - 24 m

-24 = [(36 + (-42.03)) /2] × t

-48 = - 6.03t

t = 48 / 6.03

t = 7.96s

Classify 2√by the subsets of the real numbers to which it belongs.
Select all that apply.
Natural
Rational
Real
Whole
Integer
Irrational

Answers

real irrational whoke

Nadia’s bookshelf contains 10 fiction books, two reference books, and five nonfiction books. What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book?

Answers

Answer:

5/136

Probability is the chance of an event happening.

Probability = (Favorable outcome)/(total outcome)

P(r and n) = 2/17 × 5/16

=(2 × 5)/(17 × 16)

= 10/272

= 5/136

Answer:

5/136, or about 3.68%

Step-by-step explanation:

There are 17 total books on the bookshelf and only two of them are reference books, so the probability that you randomly grab a reference book is 2 out of 17, or 2/17.

Now that you took out a reference book (and did not put it back) there are 16 books on the bookshelf and you know five of them are nonfiction. That means the probability of getting a nonfiction book on your second grab is 5/16.

To find the probability that both of these events happen, you multiply the two fractions together.

2/17 x 5/16 = 10/272, which can reduce to 5/136, or about 3.68%

Knowing your personal strengths and weaknesses will help to keep your goal a. Within your skills and abilities c. Both of these b. Within its timeline d. None of these

Answers

Answer: a.)Within your skills and abilities

Step-by-step explanation: i hope this helps :)

Knowing your personal strengths and weaknesses will help to keep your goal a. Within your skills and abilities.

What is the importance of knowing yourself?

Understanding what makes you tick is part of knowing yourself. It entails figuring out your priorities, talents, and limitations, as well as your habits, inclinations, and ways of thinking. The following is a list of the advantages and significance of understanding oneself

Knowing your personal strengths and weaknesses will help you

can change your personality flaws and improve on your weaknesses.

You’ll have more emotional intelligence, which is key to knowing others.

So, Knowing your personal strengths and weaknesses will help to keep your goal  Within your skills and abilities.

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which number line shows the solution to -3-{-1}?

Answers

Answer:

please send the picture of the number line.

Answer:me not know

Step-by-step explanation:

Hehuehuejejejje

13) Mark walks 3.4 miles per day. How
many days will it take him to walk 17.34
miles?

Answers

Answer:

5.1 days

Step-by-step explanation:

[tex]3.4 \: miles = 1 \: day \\ 17.34 \: miles \: = x \: days[/tex]

Cross Multiply

[tex]3.4x = 17.34[/tex]

Divide both sides of the equation by 3.4

[tex] \frac{3.4x}{3.4} = \frac{17.34}{3.4} [/tex]

[tex]x = 5.1[/tex]

Answer:

5 Days and 1 Hour

Step-by-step explanation:

3,4 per day

So, for 17.34 miles;

      17.34/3.4 = 5 Days and 1 hour

the set of ordered pairs (-1,8),(0,3),and(2,-7) represent a function. what is the range of the function

Answers

Answer:

Range: 8, 3, -7

Step-by-step explanation:

The Range is the second coordinate which is y.

Hope This Helps :)

Please help quickly!!:)) Appreciate it x+y=6 y+4=x Choices: (11/2, 1/2) (5, 1) (21/2, 11/2) (1, 5)

Answers

Answer:

B: (5,1)

Step-by-step explanation:

So we have the system of equations:

[tex]x+y=6\text{ and}\\y+4=x[/tex]

We can solve this system using substitution.

Substitute the second equation into the first. Use x. So:

[tex](y+4)+y=6[/tex]

Combine like terms:

[tex]2y+4=6[/tex]

Subtract 4 from both sides:

[tex]2y=2[/tex]

Divide both sides by 2:

[tex]y=1[/tex]

So, the value of y is 1.

To find x, substitute this back into the second equation:

[tex]y+4=x[/tex]

Substitute 1 for y:

[tex]1+4=x[/tex]

Add:

[tex]x=5[/tex]

Therefore, our answer is (5,1).

The answer is B.

And we're done!

what is the x intercept of this linear function. y=2x-3​

Answers

Answer:

set y = 0 to get the x intercept,,,,,,,,,,   0 = 2x -3 =    x = 3/2 or 1.5

Step-by-step explanation:

Can someone please help me out

Answers

Answer:

3/10. 0/0_____________

under certain conditions, the average cost of a medium sedan in 2012 was $0.53 per mile. how much would it have cost to drive such a car 11,000 miles in 2012

Answers

Answer:

$5,830

Step-by-step explanation:

Multiply the miles by the cost per mile.

11,000 × $0.53 = $5,830

The cost to drive the car 11,000 miles is $5,830.

The perimeter of the rectangle below is 94 units. Find the length of side PS.
Write your answer without variables.

Answers

Answer:

PS = 26 units

Step-by-step explanation:

Perimeter of rectangle = 94

2(4z - 2 + 3z) = 94

2(7z - 2) = 94

14z - 4 = 94

14z = 94 + 4

14z = 98

z = 98/14

z = 7

QR = 4z - 2 = 4*7 - 2 = 28 - 2 = 26

PS = QR (Opposite sides of rectangle)

PS = 26 units

-8v<-40
how do i answer this

Answers

Answer:

v>5

Step-by-step explanation:

you will divide by negative 8 causing the value sign to flip and that gives you 5

If P x 6=36 what is p

Answers

Answer:

p = 6

Step-by-step explanation:

Divide 6 by both sides to get p. 36/6 is equal to 6

Answer:  p =6

Step-by-step explanation:

if p times 6  is 36  or   6p =36  

Then to  find p divide both sides by 6

6p = 36

p = 6

Six machines can polish 42 tables in one hour. What is the ratio of the number of machines to the number of tables polished in one hour?

Answers

1:7

this is because if you have 42 tables and six machines, then 42/6 = 7

so each machine can polish 7 tables in one hour

1 + 4x + 6 - x = y What are m and b in the linear equation, using the common meanings of m and b?

Answers

Answer:

Step-by-step explanation:

it 28 by adding 6 +1 is 7 and times it by 4

7+3x=y I got this as the answer!

What is the area of a triangle whose base is 16 m and whose height is 21 m?
74 m2
168 m2
268 m2
336 m2

Answers

Answer:

The answer is

168 m²

Step-by-step explanation:

Area of a triangle is given by

[tex]A = \frac{1}{2} \times base \times height[/tex]

from the question

base = 16 m

height = 21 m

The area is...

[tex]A = \frac{1}{2} \times 16 \times 21 \\ = 8 \times 21 \: \: \: \: \: \: [/tex]

We have the final answer as

168 m²

Hope this helps you

Is the square root of 42 rational or irrational? Explain

Answers

☽------------❀-------------☾

Hi there!

~

[tex]\sqrt{42}[/tex][tex]6.4807406984087...[/tex]

So [tex]\sqrt{42}[/tex] is irrational (since the decimal portion doesn't terminate or repeat)

❀Hope this helped you!❀

☽------------❀-------------☾

(The other person copied there answer from google!)

Glados
spent the day at the mall, First, she bought
three bikes for $10 each. Later, she found 22
dollar bills. Write the total change
an integer.
to Glado's
funds as an integer ?

Answers

Answer:

3(10)+30

(-30) (the amount she lost) +22 (the amount she gained)= -8

Glados lost 8 dollars while at the mall.

The coordinates of the point 3/10 of the way from A to B are _

Answers

Answer:

(-1, -4.8)

Step-by-step Explanation:

Let the point be P, which is 3/10 of the way from A to B. This means, it divides P into AP and PB in the ratio, 3:10 = AP/PB = 3/10.

Apply the formula for internal division to find the coordinates which is given as:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] A(-4, -8) = (x_1, y_1) [/tex]

[tex] B(9, 6) = (x_2, y_2) [/tex]

[tex] m = 3, n = 10 [/tex]

Plug in the necessary values to find x and y coordinates for point P

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] x = \frac{3(9) + 10(-4)}{3 + 10} [/tex]

[tex] x = \frac{27 - 40}{13} [/tex]

[tex] x = \frac{-13}{13} [/tex]

[tex] x = -1 [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

[tex] y = \frac{3(6) + 10(-8)}{3 + 10} [/tex]

[tex] y = \frac{18 - 80}{13} [/tex]

[tex] y = \frac{-62}{13} [/tex]

[tex] y = \frac{-62}{13} [/tex]

[tex] y = -4.8 [/tex]

The coordinates of the point 3/10 of the way from A to B are (-1, -4.8)

Answer:

(0.2,-2.3)

Step-by-step explanation:

Solve the equation for x. 3x=(2x−2)(m+5)

Answers

Answer:

[tex]x=\frac{-2m-10}{-2m-7}[/tex]

Step-by-step explanation:

Step 1: Write out equation

3x = (2x - 2)(m + 5)

Step 2: FOIL

3x = 2xm + 10x - 2m - 10

Step 3: Subtract 2xm on both sides

3x - 2xm = 10x - 2m - 10

Step 4: Subtract 10x on both sides

3x - 2xm - 10x = -2m - 10

Step 5: Factor out x

x(3 - 2m - 10) = -2m - 10

Step 6: Combine like terms in parenthesis

x(-2m - 7) = -2m - 10

Step 7: Divide both sides by -2m - 7

[tex]x=\frac{-2m-10}{-2m-7}[/tex]

how do you find the area of a partial circle

Answers

Answer:

Divide!

Step-by-step explanation:

Find the area of the whole circle then divide it by whatterver percent of the circle you are looking at....

what is a conditional statement ​

Answers

Answer:

A conditional statement is false if hypothesis is true and the conclusion is false.

Step-by-step explanation:

Conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.

What is Mathematical Reasoning?

Reasoning in maths is the process of applying logical and critical thinking to a mathematical problem in order to work out the correct strategy to use  in reaching a solution

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.

For this conditional statement, P is called the hypothesis and Q is called the conclusion.

“If P then Q” means that Q must be true whenever P is true.

We have a conditional statement If it is raining, we will not play.

Let, P: It is raining and Q: we will not play.

Then; If P is true, that is, it is raining and Q is false, that is, we played, then the statement P implies Q is false.

Hence,  conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.

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The sample observations on stabilized viscosity of asphalt specimens are 2781, 2900, 3013, 2856 and 2888. Suppose that for a particular application, it is required that true average viscosity be 3000. Does this requirement appear to have been satisfied? State and test the appropriate hypothesis at α = 0.05.

Answers

Answer:

there is no sufficient evidence to prove that viscosity is not 3000

Step-by-step explanation:

Let's state the hypothesis.

Null hypothesis; H0: μ = 3000

Alternative hypothesis; μ ≠ 3000

The sample mean is;

x = (2781 + 2900 + 3013 + 2856 + 2888)/5 = 2887.6

Standard deviation σ = √variance = √[(2781 - 2887.6)² + (2900 - 2887.6)² + (3013 - 2887.6)² + (2856 - 2887.6)² + (2888 - 2887.6)²)(1/(5 - 1))]

σ = √((1/4)(11363.56 + 153.76 + 15725.16 + 998.56 + 0.16)

σ = 84.026

Formula for test statistic is given as;

t = (x - μ)/σ

t = (2887.6 - 3000)/84.026

t = -1.338

From online p-value calculator from t value attached, using DF = 5 - 1 = 4, two tail and a significance level of 0.05,we have;

The p-value is 0.251896.

This is greater than the significance level of 0.05.

Thus, we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to prove that viscosity is not 3000

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