What is the arc length of an arc with radius 10 in and central angle 60 degrees ? Show your work.

Answers

Answer 1

Answer:

[tex] \huge \boxed{ \boxed{ \red{{s \approx \: 10.47}}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:geometryPEMDAStips and formulas:[tex]s = \frac{\pi {r} \theta}{180} [/tex]given:r=10[tex] \theta = 60[/tex]let's solve:[tex] \sf sustitute \: the \: value s \: of \: \theta \: and \: r : \\ =\frac{\pi \times 10 \times 60}{180} [/tex][tex] \sf rediuce \: 60 : \\ =\frac{\pi \times 10 \times \cancel{60} \: ^{1} }{ \cancel{180} \: \:^{3} } \\ =\frac{\pi \times 10}{3} [/tex][tex] \sf use \: 3.14 \: for \: \pi : \\ = \frac{3.14 \times 10}{3} [/tex][tex] \sf simplify \: multipication : \\ = \frac{31.4}{3} \\ \approx \: 10.47[/tex]
Answer 2

[tex]\\ \sf\longmapsto \ell=\dfrac{\Theta}{180}\pi r[/tex]

[tex]\\ \sf\longmapsto \ell=\dfrac{60}{180}\times 3.14(10)[/tex]

[tex]\\ \sf\longmapsto \ell=\dfrac{1}{3}(31.4)[/tex]

[tex]\\ \sf\longmapsto \ell=10.4m[/tex]


Related Questions

The volume of the barrel is 4.6³ m. It is half water. How many liters of water are there?​

Answers

Answer:

6.8

Step-by-step explanation:

ggcsefhvse5gvcxdjk bcfhjbhhhhhhhhhiiijvzsd

Chad hiked to a famous point with a beautiful view. It took 1 hour and 15 minutes to hike to the viewpoint and 30 minutes to hike back. Chad spent 1 hour enjoying the view at the top. He finished the hike at 4:00 P.M. What time did Chad start the hike to the viewpoint?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).

Answers

Answer:

Step-by-step explanation:

t+1.25+.5+1=4

t=1.25 hours, .25hr=15 minutes so Chad started at

1:15p.m.

please help!! need to pass this class!!

Answers

Answer:

ADB and DBC

Step-by-step explanation:

Angles ADB and DBC are both marked with three curved lines which shows that their angles are congruent to each other.

Hope this helps! :)

can anyone help??? will give best answer brainliest!!

Answers

Answer:

5xy = 2

Step-by-step explanation:

This is the only one that has two (x & y) letters/integers on one single number.

Ashley has x dollars. She spends​ $23.50 on a new top. She decides to keep 2/5 of what she has​ left, which is​ $13.80. How many dollars did Ashley have​ originally?

Answers

Answer:

23.50 + 13.8+ 37.3

Hope this helps!

Step-by-step explanation:

Answer:

She originally had $58.

Step-by-step explanation:

Zacharias Dase 's calculating skills were made famous by Crelle's Journal in 1844. Dase produced a table of factors of all numbers between 7,000,000 and 10,000,000. He listed 7,022,500 as a perfect square.What is the square root of 7,022,500?

Answers

Answer:

2,650

Step-by-step explanation:

Is (1, 2) a solution of 6x - y > 3?
Choose 1 answer:
А
Yes
B
No

Answers

Answer:

Yes

Step-by-step explanation:

6x-y>3 (1,2)

6(1)-2>3

6-2>3

4>3

The answer would be yes. Plug in (1,2) into the equation. 6(1) - 2 > 3. Then simplify. 6(1) = 6 -2 = 4. 4>3 so the equation holds true.

1/6 divided 3, 3 divided 1/6

Answers

Answer:
1. 0.555555556
2. 18

Remember: Calculators exist lol.

Answer:

1. 0.555555556

2. 18

Step-by-step explanation:

A number between 1 and 20 and has exactly 4 factors

Answers

Answer:

6, 8, 10, 14, 15

Step-by-step explanation:

6(1,2,3,6)

8(1,2,4,8)

10(1,2,5,10)

14(1,2,7,14)

15(1,3,5,15)

what is the surface area of the milk carton to the nearest square inch? check your ansewr for reasonableness

Answers

Answer:

x

Step-by-step explanation:

there is no picture or anything else, thus it is unknown and can not be figured out unless you repost this with a picture or the full question.

Find the volume of a cube with edge length of 6 meters.
Enter the correct answer in the box.
Volume of cube

Answers

Answer:

216 cubic meters

Step-by-step explanation:

6m x 6m x 6m = 216 cubic meters

Answer:

yeah he is correct it is 216

Step-by-step explanation:

factories the following: x^2 - 3x + 2

Answers

Answer:

(x-2)(x-1)

Step-by-step explanation:

Answer:

(x-2)(x-1)

Step-by-step explanation:

[tex]x^{2} -3x+2\\\\(x-2)(x-1)[/tex]

Determine the value of n that makes a system of equations with a solution that has a y-value of 7.
5x+6y=57; 2x+ny=34

Answers

Answer:

Does that help in any sort of way?

Step-by-step explanation:

List all of the solutions.

n=ay−value=7=5x+6y=57=2x+ny=34=

hi, i'd really appreciate it if someone answere this :)

Answers

Answer:

12th triangular number is 78

50th triangular number is 1275

Step-by-step explanation:

12+1=13

12÷2=6

6x13=78

if you do this for 50 you get 1275

Answer:

Step-by-step explanation:

12 number

Wherever you see an n put in 12

12 (12 + 1)/2

12 * 13 / 2

6 * 13

78

The 12th triangular number is 78

50th triangular number

Again, wherever you see an n put in 50

n/2 * (n+ 1)

50/2 * (50 + 1)

25 * 51

1275

15. The scale on the blueprint for a house is 1 inch to 3 feet. If the living room on the blueprint is 5.5 inches
by 7 inches, what are the dimensions of the actual room?

Answers

5.5 x 3 = 16.5 feet
By
7/12 x 3/12 = 21/12 = 1.75 feet
16.5ft by 1.75 ft

Graph each inequality

Answers

the other person is correct

I’ll love u forever if u help with this ASAP PLZZZZ what are at least 3 non examples of speed and also for velocity plzzzzz

Answers

Answer:

acceleration, measurement of the mass, the volume. (non examples of speed)

Step-by-step explanation:

please help me it is timed and i am running outta time

Answers

Answer:

In ∆RST and ∆XYZ

RS=YZ(S)

angle RST=angle XYZ(A)

ST=YZ(S)

hence ∆RST ≠~∆XYZ

A kindergarten class has 9 girls and 11 boys in the class what percent of the class are girls

Answers

Answer:

9 1/11%

Step-by-step explanation:

Hope this helps :)

Helppppp what is the answerrrr????

Answers

13km i think / that maybe wrong too
62400km^2
just multiply all the digits

Yesenia buys milk to make milkshakes for all her friends. She buys 1 quart of milk and
1/2 gallon of milk. How many cups of milk does she ​buy?

Answers

Answer:

12 CUPS

Explanation:

1 quart = 4 cups

1 gallon = 16 cups

Yesenia buys 1 quart -> 4 cups

AND 1/2 a gallon -> 8 cups

4 cups from quart + 8 cups from 1/2 gallon = 12 cups total!

Ayuda es para un examen

Answers

Es 5 por la x y la y

3/4( x + 8 )=9 Solve for x: x=​

Answers

Answer:

4

Step-by-step explanation:

Multiply 4/3 to both sides to cancel out the 3/4 on the left.

Next, subtract 8 from both sides to cancel out the 8 on the left.

This should result in the equation x = 4!

Answer:

x = 4

Step-by-step explanation:

3/4 times x = 3/4x

3/4 times 8 = 6

9 - 6 = 3

3 / (3/4) = 4

I hope this helps :)

Helppp plzzz I will mark brainliestttt

Answers

Answer:

23.8 km

Step-by-step explanation:

I think it's 23.8, I may be wrong

Car A travels 20 mph faster than Car B. In the same time that Car A travels 208 mi, Car B travels 156 mi. Find their speeds. The speed of Car A is and the speed of Car B ​

Answers

Step-by-step explanation:

Assuming the speed of car B to be x and the speed of car A to be x+20

156 = 208

x. x+20

156(x+20)= 208x

156x+3120=208x

3120=208x-156x

3120=52x

x=60

The speed of car A is (x)= 60

The speed of car B is(x+20)= 80

Answer:

[tex]\huge\colorbox{red}{Car\: A=80}\colorbox{blue}{Car B=60}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:equationPEMDASlet's solve:

let the speed of car A be A

let the speed of car B be B

according to the first condition:

[tex]\quad A=B+20[/tex]

according to the second condition:

[tex]\quad 156(A)=208B[/tex]

[tex]\text{substitute the value of A into the equation:}\\ \sf \implies 156(B+20)=208(B)[/tex][tex]\sf distribute:\\ \implies 156B+3120=208B[/tex][tex] \sf \: substract\: 156B \: from \: both \: sides : \\ \implies \: 156 B -156 B + 3120 = 208 B - 156 B \\ \implies \: 3120 = 52 B[/tex][tex] \sf divide \: both \: sides \: by \: 52 : \\ \implies \frac{52B}{52} = \frac{3210}{52} \\ \therefore \: B = 60[/tex]

therefore

[tex]\text{the speed of car A is 60+20=80}[/tex]

Mr. Gonzalez owns a triangular plot of land BCD with DB = 25 yards and BC = 16 yards. He wishes to purchase
the adjacent plot of land in the shape of right triangle ABD, as shown in the accompanying diagram, with AD =
15 yards. If the purchase is made, what will be the total number of square yards in the area of his plot of land,
ACD?

Answers

Answer:

270 square yards

Step-by-step explanation:

Answer: 90 yards

Step-by-step explanation:

what are three ratios that are equivalent to 6/7

Answers

14 and 21 and 18

is three of them

Answer: 6/7 (2/2) = 12/14

(3/3) = 18/21

(4/4) = 24/28

UM, math question on area

Answers

Answer:

whats the question

Step-by-step explanation:

Answer:

multiply width and length, for rectangles, parallelograms, and rhombuses  

If a triangle divide by two

if a trapezoid, take the average of the two length and multiply by height

hope this helps

comment if you need calculation for the area of other shapes!

❗️❗️❗️HELP❗️❗️❗️

Use f(x) and g(x) to answer the question.
f(x) = x +4
g(x) = x – 2
What is the product (fºg)(x)?

Answers

Answer:

Correct answer is the first one x^2 + 2x - 8

because (x + 4) (x - 2)

= x ^2 + 4x - 2x - 8

= x^2 + 2x - 8

2.In ABC, BD is perpendicular to AC. The dimensions are shown in centimeters.

What is the length, in centimeters, of AC?

ASAP BEFORE TOMORROW 11

Answers

Answer:

AC = 12

Step-by-step explanation:

From the question, we have that BD is perpendicular to AC

This means that it is at 90 degrees to the base

so we have two similar right triangles

Let us use Pythagoras’ theorem to get the measure of one of the legs (AD and DC)

Let us call the leg x

We have the Pythagoras’ theorem stating that the square of the hypotenuse (the side facing the right angle; 10 here) is equal to the sum of the squares of the two other sides

10^2 = x^2 + 8^2

100 = x^2 + 64

x^2 = 100-64

x^2 = 36

x = √36

x = 6

AD = DC = 6

AC = 2 * AD

AC = 2 * 6

AC = 12

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