Solve the problem.
A pendulum swinging through a central angle of 108° completes an arc of length 24 cm. What is the length of the
pendulum? Round to the nearest hundredth.

Answers

Answer 1

Answer:

Yes! I was looking to refresh my geometry skill!

Step-by-step explanation:

So, a 108* arc is 24 cm. How to solve it?

First, we need to find the Circumference, or perimeter of the circle. (That the swinging pendulum makes.

Second, use that in the formula for circumference, and find the radius.

Third, done! So, let's get to it!

All we have to do to find the circumference is divide 24 by 108, then multiply that by 360*(because a circle is 360*).

[tex]24/108*360=80[/tex]

So, our circumference is 80cm. Nice! Just need to input that into the circumference formula.

[tex]80=2\pi *r\\[/tex]

Now, to solve...

[tex]40=\pi *r\\40/\pi =r[/tex]

This rounds to about 12.73 cm.

Hope this helps!

Happy Geometry!


Related Questions

537²×15.90²=74²

I know this looks like pythagorean theorem. But how do they teach this to high schooler?​

Answers

Answer:

It looks like this question is not solvable. So, if this is absolutely correct, write "no solution".

Step-by-step explanation:

Below is the first step to attempt solving the equation.

The little twos at the top of each number are called exponents. This means a number times itself.

So,

537*537=288,369

15.9*15.9=252.81

74*74=5476

Now, take the 288,369*252.81 to get a total of 72,902,566.89 .

Since this answer is (obviously) not equal to the 5476 on the other side, the two are not equal.

Here's how you'd work it out on paper to show it isn't solvable.

(537*537)*(15.9*15.9)= (74*74)

(288,369)*(252.81)= 5476

72,902,566.89 ≠5476

So the answer would be:

Not solvable.

Solve
-6y + 4 = |4y + 12|

Answers

Answer:

[tex]y = - \frac{4}{5} [/tex]

Write 10 × 10 × 10 × 10 × 10 × 10 as a power of 10 using exponents.

Answers

Answer:

10⁶

Step-by-step explanation:

B

Because there is 6 10s so... yeah hope this helps

Answer:

   6

10

Step-by-step explanation:

How many cents is equal to $ ¼?

Answers

Answer:

25 cents

Step-by-step explanation:

Answer:

25 cents

Step-by-step explanation:

25 cents times 4 is $1

think of quarters

What is the mid point between (0,0) and (3,4)

Answers

Answer:

Midpoint of a line segment

(xM,yM) = (4, 5).

Answer:

I think it's point (1.5,2).

Step-by-step explanation:

3 ÷ 2 = 1.5

4 ÷ 2 = 2

how do you convert a fraction to decimal

Answers

to convert a fraction to a decimal, divide the numerator by the denominator (divide the top by the bottom)
divide the numerator by the denominator. ex) 1/2 divide 1 by 2 to get an answer of .5

which measurement is closest to the area of a circle with a circumference of 24 centimeters​

Answers

Answer: 144π or 452.389342117

Step-by-step explanation:

24= circumference

c=dπ

c=24π

24/2=12

12=radius

12^2π=area

144π=area

find 6/7 divided 2/9. and put your answer as a reduced fraction.​

Answers

Answer:

3 6/7

Step-by-step explanation:

divide 6/7 by 2/9 and that equals 3 6/7 and since you cant simplify that the answer stays the same which the answer is 3 6/7

what is the slope of the line ?

Answers

The slope of the line is - 3/4

I got my ordered pairs by finding two points on the lines, an noting down their X and Y values.
Then I used the equation Y2 - Y1 (all over) X2 - X1 by plugging in the ordered pairs.
Finally, I solved and got -3/4!
See the attached picture below



Additionally, you can use rise over run, and count the rise and the run. In the image, the rise is three, and the run is four. The slope is negative, which leaves me to know that the answer is -3/4.





Hope this helps :)

What is a requirement of adjacent angles?

Answers

Answer:

Step-by-step explanation:

Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.



Find the area of a circle with a radius of 11 inches. Use a 3.14. The area of the circle is approximately

inches. Enter only the number.

Answers

Answer:

A = 379.94 square inches

Step-by-step explanation:

The area of a circle equation is:

A = pi *  r^2

Fill in what you know and solve:

A = 3.14 * 11^2

A = 3.14 * 121

A = 379.94

The area of the circle is 379.94 square inches.

What is area of a circle?

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the area of a circle with a radius of 11 inches.

Here, area of a circle is

A=3.14×11²

= 3.14×121

= 379.94 square inches

Therefore, the area of the circle is 379.94 square inches.

Learn more about the area of a circle here:

brainly.com/question/28642423.

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How many 1/6s are in 2/3?

Answers

Answer:

four

Step-by-step explanation:

there are 4 1/6s in 2/3. 1/6 times four is 4/6. divide numerator and denominator by two to simplify, and you get 2/3. I hope this is correct :)

The number 1/6 s in the fraction 2/3 are 4.

The given fractions are 1/6 and 2/3.

Dividing fractions is nothing but multiplying the fractions by reversing one of the two fraction numbers or by writing the reciprocal of one of the fractions. By reciprocal we mean, that if a fraction is given as a/b, then the reciprocal of it will b/a.

Number of 1/6s are in 2/3

= 2/3 ÷ 1/6

= 2/3 × 6/1

= 4

Verification:

1/6 + 1/6 + 1/6 + 1/6

= 4/6

= 2/3

Therefore, the number 1/6 s in the fraction 2/3 are 4.

Learn more about the division of fractions here:

https://brainly.com/question/17205173.

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dives from a platform that is 5 meters above water. dive takes her 2.5 below the surface of the water. How far does ​'s dive take ​?

Answers

Answer:

7.5 meters

Step-by-step explanation:

Stay safe!!! Stay 6 feet!!

Answer:

its 7.5

i got it right

Height for each toddler at Mrs.orlando daycare

Answers

1=81 centimetres
1=82 centimetres
2=83 centimetres
3=84 centimetres
1=85 centimetres

Answer: 1.5

Step-by-step explanation:

To find the quartiles, let's first find the median by sorting the data points from least to greatest.

81

,

82

,

83

,

83

84

,

84

,

84

,

85

81,82,83,83⋮84,84,84,8581, comma, 82, comma, 83, comma, start color gray, 83, end color gray, \varvdots, rectangle, start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85

The median is the mean of the two middle numbers.

83

+

84

2

=

167

2

=

83.5

2

83+84

=

2

167

=83.5start fraction, start color gray, 83, end color gray, plus, start color gray, 84, end color gray, divided by, 2, end fraction, equals, start fraction, 167, divided by, 2, end fraction, equals, start color #9d38bd, 83, point, 5, end color #9d38bd

The first quartile is the median of the data points to the left of the median.

81

,

82

,

83

,

83

81,82,83,8381, comma, 82, comma, 83, comma, start color gray, 83, end color gray

Q

1

=

82

+

83

2

=

165

2

=

82.5

Q

1

=

2

82+83

=

2

165

=82.5Q, start subscript, 1, end subscript, equals, start fraction, 82, plus, 83, divided by, 2, end fraction, equals, start fraction, 165, divided by, 2, end fraction, equals, start color #ff00af, 82, point, 5, end color #ff00af

The third quartile is the median of the data points to the right of the median.

84

,

84

,

84

,

85

84,84,84,85start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85

Q

3

=

84

+

84

2

=

168

2

=

84

Q

3

=

2

84+84

=

2

168

=84Q, start subscript, 3, end subscript, equals, start fraction, 84, plus, 84, divided by, 2, end fraction, equals, start fraction, 168, divided by, 2, end fraction, equals, start color #6495ed, 84, end color #6495ed

IQR

=

Q

3

Q

1

=

84

82.5

=

1.5

IQR

=Q

3

−Q

1

=84−82.5

=1.5

help me please. 15 POINTS BRAINLEST ANSWER EVER (y+4)–(y–1)=6y

Answers

Answer:

5/6

Step-by-step explanation:

y+4-y+1=6y

5=6y

y=5/6

Solution for (y+4)-(y-1)=6y equation:

Simplifying

(y + 4) + -1(y + -1) = 6y

Reorder the terms:

(4 + y) + -1(y + -1) = 6y

Remove parenthesis around (4 + y)

4 + y + -1(y + -1) = 6y

Reorder the terms:

4 + y + -1(-1 + y) = 6y

4 + y + (-1 * -1 + y * -1) = 6y

4 + y + (1 + -1y) = 6y

Reorder the terms:

4 + 1 + y + -1y = 6y

Combine like terms: 4 + 1 = 5

5 + y + -1y = 6y

Combine like terms: y + -1y = 0

5 + 0 = 6y

5 = 6y

Solving5 = 6y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6y' to each side of the equation.

5 + -6y = 6y + -6y

Combine like terms: 6y + -6y = 0

5 + -6y = 0

Add '-5' to each side of the equation.

5 + -5 + -6y = 0 + -5

Combine like terms: 5 + -5 = 0

0 + -6y = 0 + -5

-6y = 0 + -5

Combine like terms: 0 + -5 = -5

-6y = -5

Divide each side by '-6'.

y = 0.8333333333

Simplifying

y = 0.8333333333

HELP WILL GIVE BRAINLIEST!!Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished. The inequality below relates x, the number of copies he can make, with his copy card balance.

15 minus 0.06 x greater-than-or-equal-to 5

What is the maximum number of copies Aiden can make?

Answers

Answer:

166

Step-by-step explanation:

$15.00-$5.00= $10.00 (subtract five dollars because aiden wants to have at least five dollars left)

10.00 divided by 0.06=  166

I hope this helps! :)

Write in standard form 5×100+4×19+6×1+2×1/10+8×1/1000

Answers

Answer:

Step-by-step explanation:

i think this is the answer

576.628

Answer:

[tex]\frac{72776}{125}[/tex]

Step-by-step explanation:

500+76+6+1/5+1/125

500*125/125 +76*125/125 + 6*125/125 +25/125 +1/125

62500+9500+750+25+1/125

[tex]\frac{72776}{125}[/tex]

or 582.208

or

[tex]582 \frac{26}{125}[/tex]

a tree is 5 feet 3 inches tall. how tall is it in inches

Answers

Answer:

63 inches

Step-by-step explanation:

Answer:

63 inches

Step-by-step explanation:

12inches = 1 foot.

5x12=60+3=63

HELP PRECALC DO NOT UNDERSTAND WILL GIVE BRAINLIEST

Answers

Answer:

  the lower right matrix is the third correct choice

Step-by-step explanation:

Your problem statement shows that you have correctly selected the matrices representing the initial problem setup (middle left) and the problem solution (middle right).

Of the remaining matrices, the upper left is an incorrect setup, and the lower left is an incorrect solution matrix.

__

We notice that in the remaining matrices on the right that the (2,3) term is 0, and the (3,2) and (3,3) terms are both 1.

The easiest way to get a 0 in the 3rd column of row 2 is to add the first row to the second. When you do that, you get ...

  [tex]\left[\begin{array}{ccc|c}1&1&1&29000\\1+2&1-3&1-1&1000(29+1)\\0&0.15&0.15&2100\end{array}\right] =\left[\begin{array}{ccc|c}1&1&1&29000\\3&-2&0&30000\\0&0.15&0.15&2100\end{array}\right][/tex]

Already, we see that the second row matches that in the lower right matrix.

The easiest way to get 1's in the last row is to divide that row by 0.15. When we do that, the (3,4) entry becomes 2100/0.15 = 14000, matching exactly the lower right matrix.

The correct choices here are the two you have selected, and the lower right matrix.

I really need helpp ​

Answers

Answer:

C

Step-by-step explanation:

Answer: B. Sandwich Town's Dipping Sauce

Step-by-step explanation: Sandwich town has 1/2 more spoonful than Burger Barn so Sandwich Town has a stronger mustard flavor.

Hope this helps! : )

A road map is drawn to the scale of 1 inch equals 20 miles. How far apart in miles are two towns which are 2 1/2 inches apart on the map?

Answers

50

Step-by-step explanation:

You set this up with a ratio,  1:20 or 1 equals 20 miles.   So i'm multiplying by 20 regardless.   Now I have 2 and a half inches or you can say 2.5.  Multiply 2.5 (on paper..) and 20 and there you go.    20 times 2 equals 40 and 20 times a half is 10, 40 + 10= 50.  

i’m stuck on this question please help me

Answers

Answer:

im pretty sure its the 2nd or 3rd one

A five-pound bag of flour costs $2.90 and holds 10 cups. How much will
it cost for two-and-one-quarter cups of flour?

Answers

Answer:

65 cents

Step-by-step explanation:

divide 10 by 2.25 to get the factor. Next divide 2.9 by that to get your answer. 10/2.25 = 4 4/9. 2.9/ 4 4/9 = 0.6525 --> 0.65

The hole for a footing needs to be 8 ft deep. If it is currently 1 ft 5 inch deep how much deeper does it need to be dug? Give the answer in inches

Answers

it’s needs to be 79 inches deeper

I need help on this question 109^41/109^94

Answers

Answer:

[tex]\frac{1}{109^{53}}[/tex]

Step-by-step explanation:

[tex]\frac{109^{41}}{109^{94}}=109^{41-94}=109^{-53}=\frac{1}{109^{53}}[/tex]

What information can be used to compare linear relationships. Explain why

Answers

Step-by-step explanation:

y=mx+b m being the highest point x being the lowest

Answer:

Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.

Step-by-step explanation:

This is the sample response.

Study these equations:
f(x) = 2x - 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
O h(x) = 6x2 – 10x - 4
O h(x) = 6x2 – 12x - 4
O h(x) = 6x2 + 2x - 4
O h(x) = 6x2 + 14x + 4

Answers

Answer:

A. h(x) = 6x2 – 10x – 4

Step-by-step explanation:

Got 100% on edge.

The value of h(x) is h(x) = 6x^2 -10x + 4

How to determine the composite function?

The functions are given as:

f(x) = 2x - 4

g(x) = 3x + 1

So, we have:

h(x) = f(x)g(x)

This gives

h(x) = (2x - 4) * (3x+ 1)

Evaluate

h(x) = 6x^2 + 2x - 12x - 4

This gives

h(x) = 6x^2 -10x + 4

Hence, the value of h(x) is h(x) = 6x^2 -10x + 4

Read more about composite functions at:

https://brainly.com/question/10687170

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The telephone company offers two billing plans for local calls. Plan 1 charges ​$32 per month for unlimited calls and Plan 2 charges ​$17 per month plus ​$0.04 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.

Answers

Step-by-step explanation:

Answer in image below press on it

It cost Mila $5.00 to send 125 text messages. What is the cost of sending text messages, in dollars per text?

Answers

Answer:

0.04 dollars per text

Step-by-step explanation:

5 dollars divided by 125 texts is equal to 0.04 dollars per text. SO just do 5/125 to get your answer

answer is 0.04 in text

At the end of the day a bakery has9/10 of a pie left over. The employees decide to split the leftovers equally in each takes home 1/10 of the pie how many employees were at the bakery

Answers

Answer:

9 people

Step-by-step explanation:

9 pieces of the 10 pieces of pie were left. If all 9 of those are gone and each took 1, there were 9 employees.

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