what angle does an arc 6.6cm on length subtends at the centre of a circle of radius 14cm? take
[tex]\pi = 22 \7[/tex]​

Answers

Answer 1

Given:

Arc length = 6.6 cm

Radius = 14 cm

To find:

The angle subtended by the arc at the center.

Solution:

The formula for arc length is:

[tex]s=2\pi r\dfrac{\theta}{360}[/tex]

Where, s is the arc length, r is the radius and [tex]\theta[/tex] is the central angle in degrees.

Putting [tex]s=6.6,\pi=\dfrac{22}{7},r=14[/tex],we get

[tex]6.6=2\times \dfrac{22}{7}\times 14\times \dfrac{\theta}{360}[/tex]

[tex]6.6=88\times \dfrac{\theta}{360}[/tex]

[tex]\dfrac{6.6}{88}\times 360=\theta[/tex]

[tex]27^\circ=\theta[/tex]

Therefore, the measure of the central angle is [tex]27^\circ[/tex].


Related Questions

la torre de pisa esta inclinada de modo que su pared lateral forma un triangulo rectangulo de catetos 7 metros y 24metros ¿cuanto mide la pared lateral?

Answers

Answer:

La torre de pisa esta inclinada de modo que su pared lateral forma un triangulo rectangulo de catetos 5mtrs y60mtrs cuanto mide el otro lado de la torre !

RESOLVEMOS POR EL TEOREMA D EPITÁGORAS

Primero lado = 5 m

Segundo lado = 60 m

Lo que mide el otro lado es = x

Calculamos:

h² = a² + b²

h² = (5 m)² + (60 m)²

h² = 25 m² + 3600 m²

h² = 3625 m²

h = √3625 m²

h = 60,20 m

Rpt. El otro lado mide 60,20 m aproximadamente

Answer:

Hola. lo siento pero no hablo español

Step-by-step explanation:

At the beginning of a snowstorm, Nathaniel had 5 inches of snow on his lawn.
The snow then began to fall at a constant rate of 1.5 inches per hour.
Assuming no snow was melting, how much snow would Nathaniel have on his
lawn 5 hours after the snow began to fall? How much snow would Nathaniel
have on his lawn after t hours of snow falling?
Snow after 5 hours:
Show after t hours:

Answers

Answer:

In 5 hours he would have 7.5 inches of snow JUST from the snowstorm but the question says that he already had 5 inches in his lawn so that would make 12.5 inches of snow in 5 hours.

The second one says t, it doesn't state a number so lets assume the number is ten. So that's 5 more hours of constant snowfall, this makes our total be the sum of 12.5+7.5. This is equal to 20.

10 hours into the snowstorm Nathaniel had 20 inches of snow in his lawn.

Consider a brainliest if it helps :)

Answer:

Snow after 5 hours = 12.5

Show after t hours= 1.5t+5

Step-by-step explanation:


Solve the practice problems

For points!!!

Answers

Answer:

A. 1.25$

B. 1.75$

C. i.dk s.rry

D. 5.0625

E. i dont know

Step-by-step explanation:

Step-by-step explanation:

a. if $5=4

??=1

if less more divide

¼*5

=$1.25

b. $3.5=½

??=1

if more less divide

$3.5*2=

$7

c. $8.25=3/2

??=1

if less more divide

1*⅔*$8.25

= $5.5

d. $6.75=¾

??=1

if more less divide

4/3*6.75

=$9

e. $5.50=25/4

??=1

if less more divide

4/25*5.5

=$0.88

Exercise
1
Solve the inequality
of these equation
pretty please ​

Answers

Answer:

y<6

Step-by-step explanation:

1 /3 y +  1/4  >  3 /8y

1 /3 y +  1/4  −  3/ 8 y > 3/ 8 y −  3/ 8 y

− 1 /24 y +  1 4  > 0

−1 /24 y +  1 /4  −  1/ 4  > 0 −  1 /4

−1 /24 y >  −1/ 4

Multiply both sides by 24/(-1).

y<6

Please mark as brainliest

Have a great day, be safe and healthy  

Thank u  

XD

which type of triangle has side lengths of 5 in, 6 in, and 7 in? A) acute B) equilateral C) obtuse D) right

Answers

Step-by-step explanation:

we know this is not equilateral and right because not equal in size and two side square is not equal to hypotenuse the ans is a or b

hurryy pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

the answer is answer 3

what is the image of the point (-1,-4) after rotation of 90 degrees counterclockwise

Answers

Answer:

(4,1)

Step-by-step explanation:

The mapping is (x, y)=(-y,- x)

(-1,-4)=(4,1)

The 90° counterclockwise is(4,1)

Mark the brainiest if correct

please answer this question i will give you brainliest!!!!

Answers

Answer:

your answer will be 25 .....ok

Answer:

x = 25

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 3 when x = 15

3 = 15k ( divide both sides by 15 )

[tex]\frac{3}{15}[/tex] = k, that is k = [tex]\frac{1}{5}[/tex]

y = [tex]\frac{1}{5}[/tex] x ← equation of variation

When y = 5 , then

5 = [tex]\frac{1}{5}[/tex]x ( multiply both sides by 5 to clear the fraction )

25 = x

Find the value of x in the figure shown.

Answers

Answer:

x=17

Step-by-step explanation:

39+3x=90

minus 39

3x=51

divide by 3

x=17

Answer: 17


Explanation:,

simplify
rewrite the expression in the form a^n

Answers

this is the answer: a^8

what is 1675 divided by 25 with remainder?

Answers

Answer:

72 remainder 8 i think

Step-by-step explanation:

The result of dividing 1675 by 25 is 67 with a remainder of 0.

Given that we need to divide 1675 by 25,

To divide 1675 by 25 with a remainder, we can use long division.

Here's how it works:

Step 1: Write the division problem in long division format:

-----------

25 | 1675

Step 2: Start with the first digit of the dividend (1675) and divide it by the divisor (25).

Write the quotient above the line and the remainder to the right of the line:

-----------

25 | 1675

67

Step 3: Multiply the quotient (67) by the divisor (25) and write the product below the dividend:

-----------

25 | 1675

- 1650

67

Step 4: Subtract the product from the dividend and bring down the next digit (in this case, the digit 5):

-----------

25 | 1675

- 1650

----

25

67

Step 5: Repeat the process by dividing the new dividend (25) by the divisor (25). The quotient will be 1, and there will be no remainder:

-----------

25 | 1675

- 1650

----

25

25

-----

0

Step 6: Since the remainder is 0, we have divided 1675 by 25 evenly.

Therefore, the result of dividing 1675 by 25 is 67 with a remainder of 0.

Learn more about long division click;

https://brainly.com/question/28824872

#SPJ6

Find the measure of x if the measure of arc DC= 95 degrees

Answers

Answer:

190 I think, if that’s one of your answer choices.

Step-by-step explanation:

The measure of x if the measure of arc DC= 95 degrees is: 47.5.

Measure of arc DC

Based on the diagram, since the angle is half of the arc in order to determine the measure of x will would divide 95 degree by 2 .

Hence:

Measure of x= 95/2

Measure of x= 47.5

Inconclusion the measure of x if the measure of arc DC= 95 degrees is: 47.5.

Learn more about measure of arc DC here:https://brainly.com/question/15401736

WHAT IS THE WHOLE FOR 3 3/4 PLEASE HELP ME

Answers

Answer:

15/4

Step-by-step explanation:

Joey buying a new couch for his living room The couch costs 379.00 He has a choice of using a coupon for 5 % off before taxes , getting a rebate of $ 20 after taxes , or getting a discount of $ 18 before taxes If the sales tax rate is 8 % , which option is the better deal

Answers

Second option is better

please help me, if you can

Answers

Answer:

may be A?? i dont really know bt i think A

Answer: B

Step-by-step explanation:

First, let's take the point of the origin so (0,0).

Let's substitute it back into the equations:

0 is x, 0 is y

A: 0> -1 true

B: 0 ≥ -1 also true

C: 0 < -1 not true

D: 0 ≤ -1 not true

So now, for C and D the region containing the (0,0) is the unwanted region (shaded) because the inequality is not true.

However, the graph has the side with point (0,0) unshaded.

So we know that the answer is A or B.

In linear programming signs <> are expressed as dotted lines and ≤≥ as unbroken lines.

The graph has an unbroken line so answer B is correct as it has the sign ≥ (representing an unbroken line) and satisfies the inequality.

A farmer sells 8.7 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:

2.2 kg

Step-by-step explanation:

1000g = 1kg

8700g = 8.7kg

3/4 = 75%

8700 / 100 = 87

87 * 75 = 6525

8700 - 6525 = 2175

2.175kg or if rounded 2.2kg

Mary made two 8 ounce drinks each in a separate cup. The first cup has 4 ounces f coffee and four ounces of milk. The second cup has 6 ounces of coffee and 2 ounces of milk. After she stirred the two drinks really well, she took out a third cup that was empty. She poured 2 ounces from the first cup ad 4 ounces from the second cup into the third cup. How many ounces of coffee are in the third cup

Answers

Answer:

6 ounces

Step-by-step explanation:

First cup = 4 ounces of coffee + 4 ounces of milk

= 8 ounces drink

Second cup = 6 ounces of coffee + 2 ounces of milk

= 8 ounces drink

She poured 2 ounces from the first cup and 4 ounces from the second cup into the third cup.

Third cup = 2 ounces from the first cup + 4 ounces from the second cup

= 2 + 4

= 6 ounces drink

Ounces of coffee are in the third cup = 6 ounces

In the triangle below, which equation can be used to solve for x?

Answers

Answer:

file?

Step-by-step explanation:

Debbie borrows $45, and then pays $5 back each week. She currently owes $20. What will the variable stand for?

Answers

Answer:

The variable would stand for the number of weeks that she has left to pay.

Answer: 12

Step-by-step explanation:

What is the area of this regular polygon?

Answers

Answer:

A=25√3 cm^2

Step-by-step explanation:

Since it is a regular triangle, all sides are equal to 10cm. The dotted line is a perpendicular bisector, which means that it seperates the triangle into two perfect halves. So a right triangle is formed. The bottom of the right triangle will be half of 10, and 10/2=5. So to find the missing side, use the pythagoreom theorem.

5^2+x^2=10^2

25+x^2=100

x^2=75

x= 5√3

The height of the triangle is found, so apply the formula for area:

A=1/2*5√3*10

A=25√3

The art club is designing a rectangular mural for the school hallway. Three corners are located in a coordinate plane at the following locations: (–1, –1), (–1, 1), and (4, 1).


What is the ordered pair for the fourth corner?

Answers

Answer:

That fourth ordered pair is (4, -1)

Step-by-step explanation:

A rectangle is a set of permutations of x and y

x can either be -1, or 4

y can either be -1, or 1

the only one missing from this set is (4, -1)

Find the value of x that makes the equation true.

2[x + (2 1/2 + 2x )] = -3 (x - 1 ) + 9

Answers

Answer:

x = 7/9 or 0.78 as a decimal

Step-by-step explanation:

have a nice day!! :)

% of $10 = $3


help pls ​

Answers

Answer:

30%

Step-by-step explanation:

3/10=30/100 and 30/100 is the same as 30%

because %'s mean out of 100 so 30% means 30 out of 100 which can be simplified to 3 out of 10 or 3/10 (so its all equal)

Answer:

3%

Step-by-step explanation:

please please help please please help please please help please please help please please help









Boris starts to use the standard algorithm to solve 86\times986×986, times, 9. His work is shown below.

\begin{aligned} \overset{\blueD{y}}8\overset{}6&\\ \underline{{} \times \phantom{~~~~} 9}&\\ 4& \end{aligned}

Answers

Answer:

5

Step-by-step explanation:

You have to do 6×9 first and since that is a two digit number (gives 54), you have to bring the 5 up to the top in the place of y and add that to the product of the next two numbers you multiply.

. Write an equation in slope-intercept form that shows the cost y for flowers for x number
of arrangements.
ok

Answers

Answer:

He placed his most loyal subjects in government jobs. He developed civil service exams to reduce corruption. He enforced strict rules for workers to ensure job effectiveness.

Answer:

ahh

Step-by-step explanation:

Plz help I need it!!!!!!!!!!!!

Answers

Answer:

114°

Step-by-step explanation:

[tex]? = \frac{1}{2} (53 \degree + 175 \degree) \\ \\ ? = \frac{1}{2} \times 228 \degree\\ \\ ? = 114 \degree[/tex]

Write an equation and solve.
How opd am I if 400 reduced by 2 times my age is 244?

Answers

Answer:

78

Step-by-step explanation:

x = your age

400 - 2x = 244

subtract 400 from both sides of the equation:

-2x = -156

divide both sides by -2:

x = 78

Answer: 78

Step-by-step explanation:

x = your age

400 - 2x = 244

subtract 400 from both sides of the equation:

-2x = -156

divide both sides by -2:

x = 78

The Garys have a triangular pennant of area 420 in(squared)flying from the flagpole in their yard. The height of the triangle is 10 in less than 5 times the
base of the triangle. What are the dimensions of the pennant?

Answers

Answer:

The answer is given below:

Step-by-step explanation:

The computation of the dimension of the pennant is shown below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

where

x represents the base of the traingle

h represent the height that should be (5x - 10)

Now according to the above formula

420 =  1 ÷ 2 × x × (5x - 10)

840 = x(5x - 10)

840 = 5x^2 - 10x

5x^2 - 10x - 840 = 0

5(x^2 - 2x - 168) = 0

x^2 - 2x - 168 = 0

x^ - 14x + 12x - 168

x (x - 14) + 12(x - 14)

(x + 12) (x - 14)

So, here x = 14

Now height would be

= 5(14) - 10

= 60 inches

Please answer help asap

Answers

Answer:

[tex]∠ACB=40°[/tex]

Step-by-step explanation:

Given:-

[tex]∠APB=80°[/tex]

According to question:-

[tex]=>∠APB= 2×∠ACB[/tex]

[In Circle, the angle subtend at the centre is double angle subtend at the circumference.]

[tex]=>80° = 2× ∠ACB[/tex]

[tex]=>∠ACB=\frac{80°}{2}[/tex]

[tex]=>∠ACB=40°[/tex]


What angle pair is pictured?


1)Alternate lantern angles
2)corresponding angles
3)same-side interior angles
4)Alternate exterior angles

Answers

Step-by-step explanation:

Alternate and corresponding angles.

Answer:

corresponding angles

Step-by-step explanation:

it has six points

it is a corresponding angles

Other Questions
please help i am give brinliestWhich of the following correctly matches a property of an organic molecule with how that property helps the organic molecule function in living organisms? A. Carbohydrates lower the activation energy of certain reactions. This allows metabolic processes to take place at a rate that can sustain life. B. Proteins contain nucleotides that encode genetic material. This allows proteins to accurately pass genetic information from one cell to another. C. Nucleic acids contain multiple carbon-hydrogen bonds. This allows nucleic acids to provide energy for living organisms by breaking these bonds. D. Lipids are insoluble in water. This allows lipids that make up biological membranes to regulate the entry and exit of many substances.No dam links Lauer Corporation uses the periodic inventory system and has provided the following information about one of its laptop computers: Date Transaction Number of Units Cost per Unit 1/1 Beginning Inventory 220 $ 920 5/5 Purchase 320 $ 1,020 8/10 Purchase 420 $ 1,120 10/15 Purchase 260 $ 1,170 During the year, Lauer sold 1,050 laptop computers. What was ending inventory using the FIFO cost flow assumption no link! Just pls answer Paul, Brendan, and Charlie are chopping wood. It would take Paul 10 hours to chop up one cord of firewood. It would take Brendan 12 hours to chop one cord, and it would take Charlie 15 hours to do the same job by himself. How long will it take the three of them working together?It will take blank hours for the three boys to chop up one cord of firewood.The solution is Which of the statements is correct regarding water potential in plants1. Water moves from a low water potential to a high water potential2. Water moves from a. high water potential to a low water potential3. Water potential in the leaves of trees is higher than the water potential in the roots of trees I need the answer ASAP. Ill mark brainliest if right Please answer these I need them done quick Ill reward points + brainalist If a dog starts to put its paw down on a sharp stone, the tough skin skin protects underlying structures from damage. Additionally, touch receptors in the skin send sensory signals to the spinal cord. The spinal cord then sends a signal to the muscles to lift the paw rather than continuing to press down. In this scenario, the dog may experience discomfort but avoid injury.What two body systems are being used to protect the structures beneath the dog's skin and signal the muscles to lift the paw? A. integumentary and nervous systems B. circulatory and nervous systems C. circulatory and lymphatic systems D. integumentary and lymphatic systemsPLZZ HELP QUICKKK Sarah has decided to write a speech about her favorite animals, dogs. She narrows her topic to training dogs and decides the purpose of the speech will be to teach her audience how to train a dog. Which organizational style should she choose for her speech?A. motivated sequenceB. topicalC. chronologicalD. problem/solutionPlease select the best answer from the choices provided How many estates were there in Europe? How did the Scientific Revolution cause Europeans to examine the role of government in their lives? On the Bahamian island of Andros, mosquitofish populations live in various, now-isolated, freshwater ponds that were once united. Currently, some predator-rich ponds have mosquitofish that can swim in short, fast bursts; other predator-poor ponds have mosquitofish that can swim continuously for a long time. When placed together in the same body of water, the two kinds of female mosquitofish exhibit exclusive breeding preferences. Which type of reproductive isolation operates to keep the mosquitofish isolated, even when fish from different ponds are reunited in the same body of water Write a recursive sequence that represents the sequence defined by thefollowing explicit formula:An = 1 - 5(n 1) One endpoint of a line segment has coordinates represented by (x + 2, 3y). The midpoint of the line segment is (6, -3). How are the coordinates of the other endpoint expressed in terms of x and y? O (10 r, y) O (10 - 1,-6-y) (12 - 2,6 - 3y) (14 1,3 - y) 1 2 3 4 5 Next How does the history of Australia compare to the history of other societies and countries in Latin America? Write a paragraph response including examples. Are the triangles shown below similar to one another? The ______________________________ of freshwater is greatest at 4 degrees Celsius.A.) cohesionB.) specific heatC.) polarityD.) density Who did some believe to be the messiah for whom the Jews were waiting Use the distributive property to expand (simplify): 5(12mu - 7v) 1. system of racial segregation used in South Africa2. idea of the unity of all black Africans3. South African bishop and Nobel Peace Prize winner4. Nigerian novelist5. widespread epidemic in sub-Saharan AfricaA. Desmond TutuB. apartheidC. Pan-AfricanismD. AIDSE. Chinua Achebe