Question 5
Calculate the perimeter of the sector
4cm
285

Question 5Calculate The Perimeter Of The Sector4cm285

Answers

Answer 1
Circumference of circle of radius 4 cm = 8π cm
length of 285° arc = (285/360)×(circumference) = (19/24) × 8π = (19/3)π
Perimeter of sector = arc length + 2 radii = (19/3)π + 8 ≈ 27.9 cm
Answer 2

The arc length of the sector will be 19.89 centimeters.

What is the arc length of the sector?

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The radius of the sector is 4 cm. And the central angle is 285°.

Then the perimeter of the sector is given as,

Arc = (285° / 360°) x 2 x 3.14 x 4

Arc = 19.89 cm

The arc length of the sector will be 19.89 centimeters.

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Related Questions

10 POINTS!! Select the correct answer.
Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information?
A. 0
B. 1
C. 2
D. 4
E. infinitely many

Answers

Answer:

the answer is E . infinitely many

explaination:

The answer is Infinitely because if the sides are parallel then the other two sides must be the same measurement. However, they can be any measurement they want. So the answer is infinite triangles.

Answer:

E. Infinitely many

Defective Merchandise Suppose that 8% of a certain batch of calculators have a defective case, and that 11 % have defective batteries. Also, 3% have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries.

Answers

Answer:

0.84 = 84% probability that the calculator has a good case and good batteries.

Step-by-step explanation:

We have these following percentages:

8% of a certain batch of calculators have a defective case.

11 % have defective batteries.

3% have both a defective case and defective batteries.

Using Venn Diagrams:

Event A: Defective Case

Event B: Defecitve Battery

So the probabilities are: [tex]P(A) = 0.08, P(B) = 0.11, P(A \cap B) = 0.03[/tex]

Probability of at least one problem:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.08 + 0.11 - 0.03 = 0.16[/tex]

Find the probability that the calculator has a good case and good batteries.

No problems, so

[tex]p = 1 - P(A \cup B) = 1 - 0.16 = 0.84[/tex]

0.84 = 84% probability that the calculator has a good case and good batteries.

The probability that the calculator has a good case and good batteries is 0.84 or 84%

Calculation of the probability:

Since

8% of a certain batch of calculators have a defective case.

11 % have defective batteries.

3% have both a defective case and defective batteries.

So, the probability is

=  1- (0.08 + 0.11 - 0.03)

= 1 - 0.16

= 0.84

Therefore, The probability that the calculator has a good case and good batteries is 0.84 or 84%

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You buy dinner at a restaurant. Your bill is $17.50. The tax is 9%. You leave a 20% tip. How much did you pay total?

Answers

Answer:

22.57

Step-by-step explanation:

17.50 + (17.50 x 0.2) + (17.50 x 0.09) = 22.575

You multiply a number by (–3) and the product is negative. List four possible numbers you could have multiplied by –3 and four you could not have multiplied.

Answers

Answer:

-3(43)= -129

−3(3) = −9

−3(2) = −6

−3(1) = −3

−3(0) = 0

−3(−1) = 3

−3(−2) = 6

 -3(-3)= 9

Step-by-step explanation:

As the factor decreases by 1, the product increases by 3. So −3(−1) = 3, −3(−2) = 6.

 

Multiplying −3 by a negative integer gives a positive number. 

The product of a positive number and a negative number is negative.

On a map, the scale is 1 inch to 400 miles. If the
trip from Corpus Christi to El Paso is 600 miles,
how far apart will those cities appear on the map
(in inches)?

Answers

1 and 1/2 inches apart. Since 1 inch is 400 miles half of an inch would be 200 miles!

Answer:

B. 1.5 inches

Step-by-step explanation:

600/400=3/2=1.5

Solve the equation, and check the solution. w/3 = 0.9 (The w is a variable for the fraction)

Answers

Answer:

w = 2.7

Step-by-step explanation:

To solve for what number divided by 3 is equal to 0.9 you can do 0.9*3 and get the answer 2.7. w = 2.7.

The area oc an isoceles triangle is 44 square centimeters. Use the equation 1/2(8h)=44 to find the height of fhe triangle.

Answers

Step-by-step:
1/2(8h)=44

Divide both sides by 1/2:

8h=88

Divide both sides by 8:

h=11

The answer would be 11.

what’s the slope of (0,3) (7,-9)

Answers

Answer:

-[tex]\frac{12}{7}[/tex]

Step-by-step explanation:

y2-y1 ÷ x2-x1

-9-3 ÷ 7-0

-12 ÷ 7

(Can not be simplified any further)

Answer:

-12/7

Step-by-step explanation

[tex]\frac{Rise}{Run}[/tex]

Slope equals the change in y over the change in x.

Equation:

[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Plug in values.

[tex]\frac{-9-3}{7-0}[/tex]

Answer is:

[tex]-\frac{12}{7}[/tex]

At the end of a 10-year loan, $13,570 had been paid in interest. If the initial loan amount was $23,000, find the interest rate

Answers

Answer:

5.9%

Step-by-step explanation:

Pls can someone answer how to round 5pi to the nearest 10th I’ll give you brain points or whatever

Answers

Answer:

Step-by-step explanation:

5[tex]\pi[/tex]=15.70...

To round a number to the nearest tenth , look at the next place value to the right (the hundredths)which is 0 in this question.

Thus, it will become 15.7

The circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

The diameter of the nickel (circle) is 5 millimeters

D = 5 millimeters

The circumference of the circle = πD

Plug D = 5 millimeters in the above formula:

The circumference of the circle = 5π mm

As we know,

π = 3.141 ≈ 3.14 (Rounded to the nearest the Hundredths Place)

The circumference of the circle = 5π = 15.70796 mm

The circumference of the circle = 15.70796 = 15.7 mm

(Rounded to the nearest Tenths Place)

Thus, the circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.

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A dilation maps AB onto A'B'. If the coordinates of the
endpoints are

A(4,2),
A'(10,5),
B(10,6),
B'(25, 15), then
what is the scale factor?

Answers

Answer:

[tex]k = 2.5[/tex]

Step-by-step explanation:

Given

[tex]A = (4,2)[/tex]

[tex]A' = (10,5)[/tex]

[tex]B = (10,6)[/tex]

[tex]B' = (25,15)[/tex]

Required

Determine the scale factor (k)

Scale factor is calculated using:

[tex]Old * k = New[/tex]

In this case, we have:

[tex]AB* k = A'B'[/tex]

Make k the subject

[tex]k = \frac{A'B'}{AB}[/tex]

Using point A and A'

[tex]k = \frac{A'}{A}[/tex]

[tex]k = \frac{(10,5)}{(4,2)}[/tex]

Factorize the numerator

[tex]k = \frac{2.5(4,2)}{(4,2)}[/tex]

[tex]k = 2.5*\frac{(4,2)}{(4,2)}[/tex]

[tex]k = 2.5*1[/tex]

[tex]k = 2.5[/tex]

Dion builds a pattern that is represented by the equation b equals 2 F + 6 where f is the figure number of the pattern and B is the number of blocks in each figure. How many blocks are needed to make the 9th figure in the pattern?​

Answers

9514 1404 393

Answer:

  24

Step-by-step explanation:

Using 9 as the figure number, Dion's equation tells us there are ...

  2(9) +6 = 18 +6 = 24 blocks in figure 9


1. Find the area of the composite figure. Heellllppppp

Answers

Answer: 24

Step-by-step explanation:

Basically you just need to add the sides up to get your answer, its like breaking it up and adding simply.

24



You just have to add all the saids together and then you will get the answers!

please help! (URGENT)

Answers

Answer:

X = 5

Step-by-step explanation:

if i earn $500 a week how much weeks do i have to work in order to have $1200

Answers

Answer:about 2 1/4 weeks

Step-by-step explanation:

Answer:

2 with a remainder of 200

I just divided it.

Some one please help

Answers

the app slader helps you find textbook answers

Answer:

1/31 or [tex]\frac{1}{31}[/tex]

To find the answer, simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Does anybody want to pair up with me????

Hey, wanna pair our account on Brainly so we can share the perks? https://brainly.com/invite/014e7cc7c4b4d4674f5be042ba13c18d?utm_source=invite&utm_medium=link&utm_campaign=bfp_parental_feed&utm_term=parent

Answers

Answer:

Uhm...no thank you

Step-by-step explanation:

Answer:

https://brainly.com/invite/7572c22d605dca5f994821814911b9d2?utm_source=invite&utm_medium=link&utm_campaign=bfp_parental_feed&utm_term=parent

Step-by-step explanation:

Given the following data set: 3 5 6 7 7 8 8 8 9 9 9 10 102 Researcher detected the technical error in the last observation and replaced 102 by 10.2. What happens to Interquartile Range (IQR) and Standard Deviation (SD)

Answers

Answer:

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

Step-by-step explanation:

Given the data:

3 5 6 7 7 8 8 8 9 9 9 10 102

Ordered data: 3, 5, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 102

The interquartile range (IQR) for the data:

IQR = Q3 - Q1

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 26.3

Correcting error in the data:

3 5 6 7 7 8 8 8 9 9 9 10 10.2

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 2.04

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

find slopes , ill mark brainlist

Answers

Answer:

[tex]\frac{3}{2}[/tex] [tex]or[/tex] [tex]1\frac{1}{2}[/tex]

Step-by-step explanation:

We are given a graph and asked to find the slope.

So we can see two coordinate points, one on (0, 3) and (2, 0).

When trying to find slope, we use the method rise over run, which basically means y over x as a fraction, in which you then divide.

So count how many times it'll take for x to get to y, base it off the picture below

Since we see our numbers to be divided are 3 over 2, do the division and you get 1 1/2.

Would this be negative though? No, since the graph is in an increase, not a decrease.

How do u calculate Pythagorean theorem and what is the formula

Answers

Answer:

The formula is

Step-by-step explanation:

a^2 + b^2 = c^2

hope this helps

3) Andy earned 1,000$. He used 25% to buy food and 50% to pay
the rent. The rest he saved. How much money did he save?

Answers

Step-by-step explanation:

1000 devided by 75% gives 250

oliver tries to cut a piece of metal 30 centimeters long the metal ends up being 29.4 centimeters long what is the percent error in this situation? , please tell me how you got the answer. Will give brainliest

Answers

Answer:

I'd say its 1.02% but don't quote me on that

Step-by-step explanation:

The percent error in the given situation is 2%. Therefore, option C is the correct answer.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Oliver tries to cut a piece of metal 30 centimeters long the metal ends up being 29.4 centimeters long.

Difference in number =30-29.4

= 0.6

Now, percent error = 0.6/29.4 ×100

= 2.04%

≈ 2%

The percent error in the given situation is 2%. Therefore, option C is the correct answer.

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Strands of copper wire from a manufacturer are analyzed for strength and conductivity. The results from 100 strands are as follows: Strength High Low High conductivity 74 8 Low conductivity 15 3 a. If a strand is randomly selected, what is the probability that its conductivity is high and its strength is high

Answers

Answer:

0.74

Step-by-step explanation:

Given :

__________________ STRENGTH __

__________________High _ Low

High conductivity _____ 74 __ 8

Low conductivity _____ 15 ___ 3

Probability that conductivity is high and strength is high :

This the probability of High conductivity n High strength = P(High conductivity n High strength)

Probability = required outcome / Total possible outcomes

Required outcome = P(High conductivity n High strength) = 74 (from table)

Total possible outcomes = total sample size = 100

Hence,

P(High conductivity n High strength) = 74 / 100 = 0.74

i need help really fast

Answers

The Answer is letter a

43=0.34x+19.5
What is x

Answers

Step-by-step explanation:

43=0.34x+19.5

=> 0.34x+19.5 = 43

=> 0.34x = 43 - 19.5

= 23.5

[tex] = > x = \frac{23.5}{0.34} [/tex]

=> x = 69.117 (Ans)

What is -5-3(-5x-3)-3x

Answers

Answer:

12x+4

Step-by-step explanation:

when simplified you would get 12x + 4

−5−3(−5x−3)−3x

- 5 - ( - 15x - 9 ) - 3x

-5 + 15x + 9 - 3x

(-5 + 9) + (15x - 3x)

4 + 12x

Which statement is NOT true in the equation y = 9x?

The value of y is 9 times the value of x.
The equation represents an additive relationship.
The value of y is 45 when the value of x is 5.
The equation represents a multiplicative relationship.

Answers

Answer:

dhdbdudbdudbdne d ieh eue

Answer: the equation represents an addictive relationship

Step-by-step explanation:

Angle 1 and angle 2 are supplementary. angle 1 measures 3x and angle 2 measures 2x + 10. what does x equal?

Answers

Step-by-step explanation:

3x+2x+10=180

5x+10=180

5x=170

x=34

so the value of x is 34

The value of x is 34.

Here,

Angle 1 and angle 2 are supplementary.

And, angle 1 measures 3x and angle 2 measures 2x + 10.

We have to find the value of x.

What is Supplementary angle?

Supplementary angles are those angles that sum up to 180 degrees.

Now,

Angle 1 and angle 2 are supplementary.

⇒ ∠1 + ∠2 = 180°

And, angle 1 measures 3x and angle 2 measures 2x + 10.

⇒ 3x + 2x + 10 = 180

⇒ 5x + 10 = 180

⇒ 5x = 170

⇒ x = 34

Hence, The value of x is 34.

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2x - 3y = -14
5x + 9y = -2

Answers

Step-by-step explanation:

2x-3y= -14

5x+9y= -2

multiply the first one by 5 and the second one by -2 to get equal and opposite value of x.

➡️when you multiply,it will be

10x-15y= -70

-10x-18y= 4

cancel out each x value,then you get

-15y-18y= -70+4

-33y= -66, divide each side by -33 to get the value of y

⚪️y= 2

➡️substitute the value of y in the equation of (2x-3y= -14) to find the value of x

2x-3(2)= -14

2x-6= -14

2x= -14+6

2x= -8 divide both side by 2

⚪️x= -4

so the answer is (-4,2)

When 6 pounds of coffee cost $4.68, how much will 3 1/2 pounds cost?

Answers

Answer:

2.73

Step-by-step explanation:

Have a great day! I just put it down to cost per pound and and then multiplied by 3 1/2 and got the answer. :)

Answer:

$4.48

Step-by-step explanation:

6/4.68 = 1.28205128205 = 1.28

3 1/2 x 1.28 =

3.5 x 1.28 = 4.48 =

$4.48

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