if the central angle is 3pie/4 and the radius is 13 what's the arc length

Answers

Answer 1

Answer:

The arc length is 9.75 pi units

Step-by-step explanation:

Mathematically, we use the formula below to get the length of an arc

Length of an arc is;

theta/360 * 2 * pi * r

where theta is the central angle

for 3pi/4 ; let us convert to degrees

The degree measure is 180 degrees for pi

so 3pi/4 will be (3 * 180)/4 = 135 degrees

So we have the arc length as follows;

135/360 * 2 * pi * 13 = 9.75 pi unit


Related Questions

A window in the shape of a parallelogram has a base of 34 inches and a height of 63 inches. What is the area of the window?

Answers

Answer:

2142 inches^2

Step-by-step explanation:

parallelogram's area: base * height

so, 34*63 = 2142

Se hizo un estudio estadístico sobre la duración de una marca de pilas. Los resultados, en horas, de una muestra de 15 pilas son: 20, 22, 25, 21, 22, 20, 23, 21, 24, 22, 24, 21, 23, 22, 21. Construye una tabla de frecuencias absolutas y relativas. a. Calcula las frecuencias absolutas y relativas acumuladas. b. ¿Qué porcentaje de pilas dura menos de 22 horas? Rta: sumo los hi < 22: 0,13 + 0,27 = 0,4 x 100% = 40% c. ¿Qué porcentaje de pilas dura menos de 21 horas? Rta: los hi < 21: 0,13 x 100% 13,33%

Answers

ok it 20




20,24,20 20concludes of 20

good morning!! can someone help?!:)

Answers

Answer:

Option A. {-4, 2, 4}

Step-by-step explanation:

There is no other options because none of them are bigger than -5 except Option A.

A gggggggggggggggggggggggg

Which statement BEST describes how the pipe player in Passage 1 influenced Caesar's crossing of the Rubicon?
A ) The pipe player's song distracted the opposition, which allowed Caesar to mount a suprise attack.
B ) The pipe player had a striking appearance that Caesar admired.
C ) The pipe player convinced other soldiers to join Caesar in his fight.
D ) The pipe player's song brought nearby trumpeters to the area, which inspired Caesar to sound the advance.

Answers

Answer:a or d

Step-by-step explanation:

Chelsea jogged 1.3 miles every weekday and 0.7 miles on Saturday. How many miles did Chelsea jog in 2 weeks

Answers

Answer:

14.4 miles

Step-by-step explanation: u do 1.38x5 to get 6.5 then u add 0.7 to 6.5 to get 7.2 then you times 7.2 by 2 to get 14.4

Part A
Which of the following expressions could be used to find
the volume of the sheet cake? Select all that apply.

Sheet cake has length of 12 in., height of 3 in. and width of 5 in.
A. 60 × 3
B. 12 + 5 + 3
C. 3 × 5 × 12
D. 12 × 5
E. (3 × 5) × 12
Part B
The baker adds another 1-inch-thick layer to the bottom of the sheet cake. The height of the sheet cake is now 4 inches. What is the volume of the sheet cake?
A. 200 in.3
B. 240 in.3
C. 180 in.3
D. 220 in.3

Answers

Answer:

Part A: option C

Part B: option B

Step-by-step explanation:

Steps included or some steps, thank you!

Answers

Answer: x = -3/4

Step-by-step explanation:

Remember:

[tex]\sqrt{a}=b\\\\a=b^2[/tex]

-----------------

[tex]\frac{\sqrt{4x + 19} }{2} = 2\\\\\sqrt{4x + 19} = 4\\\\(4x+19)=4^2\\\\4x +19 = 16\\\\4x=16-19\\\\4x = -3\\\\x =\frac{-3}{4}[/tex]

Please help me out.❤️

Answers

Answer:

7

Step-by-step explanation:

Write the numbers lowest to greatest

16  18 20 21 25 42

range is  25- 18 = 7

Set B = {55, 57, 58, 59, 61}. Which number in set B has the smallest prime factor?

Answers

Answer:

58

Step-by-step explanation:

1 isn't a prime number. 2 is the smallest, which is in 58

A diagonal of a square is 20cm long. How long is each side​

Answers

Answer:

Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm

Step-by-step explanation:

Answer:3

Step-by-step explanation:divide

What is the GCF of 36 and 68?

Answers

Answer:

4

Step-by-step explanation:

Answer:

The greatest common factor of 36 and 68 is 4

Step-by-step explanation:

36÷4=9

68÷4=17

In the image provided, the circle is centered at point W with ZX←→ and ZY←→ tangent to ⊙W at X and Y, respectively.

Given ∡XWY=75°, what is ∡XZY?

A. 105°

B. 150°

C. 75°

D. 15°

Answers

9514 1404 393

Answer:

  A.  105°

Step-by-step explanation:

The external angle at Z is the supplement of the internal angle at W.

  Z = 180° -75° = 105°

  ∠XZY = 105°

Write in word form:

436,783,210

Answers

Answer:

Four hundred thirty six million, seven hundred eighty-three thousand, two hundred ten

Step-by-step explanation:

four hundred and thirty six

seven hundred and eighty three

two hundred and ten

Step-by-step explanation:

if your reading this please help meeee

Answers

Answer:

both angles are 92 degrees

Step-by-step explanation:

88+c=180

c=92

c and b are vertical angles and all vertical angles are equal

HELP PLEASE KHAN ACADAMY

Answers

Answer:

-45

Step-by-step explanation:

Given \sin A=\frac{5}{\sqrt{89}}sinA=
89


5

and that angle AA is in Quadrant I, find the exact value of \cos AcosA in simplest radical form using a rational denominator.

Answers

Answer:

First don't forget the [ tex ] [ /tex ] in order to execute the latex code.

Step-by-step explanation:

[tex] \sin A=\frac{5}{\sqrt{89}}sinA= 89 [/tex]

[tex] \cos AcosA [/tex] = [tex] \cos [/tex]

The exact value of cosine of angle A for the considered case using a rational denominator in simplest radical form is 8√(89)/89

What are the six trigonometric ratios?

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Given that:

[tex]\sin A=\dfrac{5}{\sqrt{89}}[/tex]

So, from this, we are given the ratio of perpendicular and hypotenuse from the perspective of angle A.

There must be existing a right triangle with same measure of angle A such that:

Perpendicular's length = P = 5 units

and Hypotenuse' length = H = [tex]\sqrt{89}[/tex] units.

Using Pythagoras theorem, we get:

Base' length = B as:

[tex]P^2 + B^2 = H^2\\B = \sqrt{H^2 - P^2}\\\\B = \sqrt{(\sqrt{89})^2 - 5^2}\\\\B = \sqrt{89-25} = \sqrt{64} = 8[/tex]

(took positive root as B is representing length, a non-negative quantity).

Thus, Base is of 8 units length.

Thus, we get:

[tex]\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\cos(A) = \dfrac{B}{H} = \dfrac{8}{\sqrt{89}}[/tex]

Rationalizing, we get:

[tex]\cos(A) = \dfrac{8}{\sqrt{89}} =\dfrac{8}{\sqrt{89}} \times \dfrac{\sqrt{89}}{\sqrt{89}} \\\\\cos(A) = \dfrac{8\sqrt{89}}{89}[/tex]

Thus, the exact value of cosine of angle A for the considered case using a rational denominator in simplest radical form is [tex]\dfrac{8\sqrt{89}}{89}[/tex]

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

the area of a semi circle when the radius is 28cm

Answers

I don’t have a calculator on me but do

28^2 = ...
Times that by pi
Then divide by 3

A ladder of length 6m leans against a vertical wall so that the base
of the ladder is 2m from the wall. Calculate the angle between the
ladder and the wall.

Answers

Answer: sin x = 2/6

x = 0.33

x = 19.5 degrees

Step-by-step explanation:

Answer all part please. I really need this so no random answers. PLEASE ILL GIVE U BRANLIEST . WORTH 100 POINTS AND IF U STEAL MY POINTS I WILL REPORT U TO MOD

Answers

Answer:

[tex]x=44[/tex]

m∠1=118°

m∠2=62°

Step-by-step explanation:

Part A: They are supplementary angles, so

[tex]2x+30+62=180[/tex]

Simplify like terms,

[tex]2x+92=180[/tex]

We subtract 92,

[tex]2x=88[/tex]

Divide by 2,

[tex]x=44[/tex]

Part B:

[tex]m[/tex]∠[tex]1=2x+30[/tex] because ∠2 is vertical to 2x+30.

Plug in 44 for x,

[tex]m[/tex]∠[tex]1=2(44)+30[/tex]

Simplify,

[tex]m[/tex]∠[tex]1=118[/tex]

[tex]m[/tex]∠[tex]2=62[/tex]° because it is a vertical angle to the 62° angle.

Answer:

Solution given:

2x+30+62=180°[linear pair]

2x=180-92°

x=88/2=44°

Now,

<1=2x+30=2×44+30=118°[vertically opposite angle]

<2=62°[vertically opposite angle]

[vertically opposite angle]

please helpppppp i will mark you braliest

Answers

Answer:

0.3

Explanation:

you multiply all numbers together to get 0.3

Answer is 0.3

have a great day!

giving out brainiest for whoever gets it right!

Mandy made a circular ower garden with a diameter of 7 feet. She wants to put a fence around the outside of the
garden. About how much fence does
Mandy need to buy? (Use 3.14 for .)
A. 11 feet B. 22 feet
C. 38 feet D. 44 feet

NO LINKS OR SPAMMING IF U DO U WILL BE BLOCKED AND REPORTED!

Answers

Answer:

b. 22

Step-by-step explanation:

7 x 3.14 = 21.95

(  22 because you cannot buy half of one so you have to round it)

21.95 - 22

The answer to your question is C. 38 feet

PLEASE HELP !!

what is the arrow pointing at? 100, 200, 300.

Answers

Answer:

your answer is 170 but if its round to the nearest probably pick 200

Answer:

200

Step-by-step explanation:

170 rounds to 200

Find the area of the beans I will mark the brainiest answer

Answers

Answer:

4x^2 - 12x +9

Step-by-step explanation:

The figure is a square.

the area of a square is = side^2

area = (2x-3)^2 = 4x^2-12x +9

thanks to rule of the square of a binomial, we can skip this passage:

(2x-3)(2x-3) = 4x^2-6x-6x+9 =4x^2-12x +9

Answer:

4x²−12+9

Steps:

2x(2x−3)−3(2x−3)

4x²−6−3(2x−3)

4x²−6x−6x+9

4x²−12x+9

The table shows the number of students who had a job during the summer. Which statement is true?
Grade Level
Students who had a
summer job
Freshman
22
Sophomore
10
Junior
20
Senior
22N
ОООО
The probability of a working sophomore is greater than any other student.
The probability of a working junior is greater than any other student.
The probability of a working senior is as likely as a working sophomore.
The probability of a working freshman is as likely as a working senior.

Answers

Answer: d

Step-by-step explanation:

Geometry help please! Thank you

Answers

Answer:

ZWXY

Step-by-step explanation:

The other shape is the same but you want to name it the same way that they named the first one

PLS HELP BRAINLIEST TO CORRECT ANSWER
Haley substituted the values of a, b, and c into the quadratic formula below.

x = StartFraction negative (negative 10) plus or minus StartRoot (negative 10) squared minus 4 (7)(negative 2) EndRoot Over 2(7) EndFraction
What was Haley’s function in standard form?
f(x)=___x2+___x+____

Answers

Answer:

7, -10, -2

Step-by-step explanation:

Find the slope of the line that passes through (3, 5) and (8, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer: Answer is B

Step-by-step explanation:

Find the value of each variable given the triangle.
How I solve this

Answers

Answer:

m∠1 = 108°

m∠2 = 72°

Step-by-step explanation:

By applying triangle sum theorem in the given triangle,

Sum of all interior angles = 180°

38° + 70° + m∠2 = 180°

m∠2 = 180° - 108°

        = 72°

Since, angles 1 and 2 are the linear angles,

Therefore, m∠1 + m∠2 = 180°

m∠1 + 72° = 180°

m∠1 = 180° - 72°

m∠1 = 108°

Brainlyist for the right answer

Answers

Answer:

it is C.

Step-by-step explanation:

just trust me.

Answer:

she is right it's C

Step-by-step explanation:

Have a good Day! :)

5. Find the area of trapezoid


Please help

Answers

Answer:

39.2

Step-by-step explanation:

A- area of trapezoid

a-Base  

b-Base  

h-Height

[tex]A=\frac{a+b}{2} h=\frac{7(9.2+2)}{2}=39.2[/tex]
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