The minute hand of a clock in a clock tower has a length of 36 inches.

If a butterfly landed on the extreme tip of the minute hand at exactly 12:00 noon and rode the minute hand until 12:45 p.m., how far did the butterfly ride along the arc traced by the minute hand? Round your answer to the nearest foot.

Answers

Answer 1

Answer:

45 degrees

Step-by-step explanation:

Answer 2

   Butterfly will ride along the arc traced by the minute hand = 14 feet

Perimeter of a sector: Perimeter of a sector of a circle is given by the expression,

         [tex]P=\frac{\theta}{360^\circ}(2\pi r)[/tex]

          Here, θ = Angle formed at the center of the circle by the arc of

                          a sector

                     r = Radius of the circle

Since, minute hand of a clock forms an angle measuring 270° at the center to cover from 12:00 noon to 12:45 p.m.

Length of the minute hand = 36 inches

Perimeter of the arc = [tex]\frac{270}{360}(2\pi)(36)[/tex]

                                  = 169.646 inches

Since, 1 inch = [tex]\frac{1}{12}[/tex] foot

          169.646 inches = 14.137 ft.

                                     ≈ 14 ft.

        Therefore, butterfly will ride 14 feet along the arc traced by minute hand.

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Related Questions

HELP ASAP!!!!!!!

what does 97= -3 (6n - 5) - 8 equal?

Answers

Answer:

n = -5

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 97-(-3*(6*n-5)-8)=0

 97 -  ((0 -  3 • (6n - 5)) -  8)  = 0

 Pull out like factors: 18n + 90  =   18 • (n + 5)

Solve  :    n+5 = 0

Subtract  5  from both sides of the equation: n = -5

Hope this helps! Please mark as brainlest.

Thanks!

Answer:

n=-5

Step-by-step explanation:

Distribute the -3 into the parenthesis to get.

97=-18n+15-8

Next combine like terms to get.

97=-18n+7

Next isolate the variable to get.

90=-18n

Now Isolate the variable term to get.

n=-5

Brainliest Plz.

which of the following relations is not a function?
a. (-1, 4), (1, 2), (7, 1), (-6, 5)

b. (7, 4), (-1, 2), (1, 1), (-6, 2)

c. (-6, 4), (1, 3), (-1, 1), (7, 2)

d. (1, 4), (-1, 2), (1, 1), (-6, 2)

Answers

Answer:

d

Step-by-step explanation:

it has two 1s for 2 x values

A shop is offering a 15% reduction on the price of a computer .The original price of the computer was $670.what is its reduced price?​

Answers

Answer:

$569.50

Step-by-step explanation:

15% deduction from the initial price(100%) will have us remaining with 85%

100% = 670

85% = 85% x 670

                100%

= $569.50

Lita sees a sign that says you must be more than 48 inches tall to ride a roller coaster.

She writes the inequality as h > 48.

How can she graph the solutions of the inequality?
Plot an open circle at 48 and shade left.
Plot a closed circle at 48 and shade left.
Plot an open circle at 48 and shade right.
Plot a closed circle at 48 and shade right.

Answers

Answer:

Plot an open circle at 48 and shade right.Step-by-step explanation:

Answer:

C :)!

Step-by-step explanation:

Solve for b.
b=ah
b=a/h
b=ha
b=h/a
Group of answer choices

Answers

Answer:

b) b=a/h

Step-by-step explanation:

A=bh

Dividing both side by h,

or, b=A/h

OR,

A=bh

or, b=A/h

Answer:

b

Step-by-step explanation:

uhm

at Best Buy they have a stereo system at the cells of 22000 and is on sale for 15% and sales tax is 7%. what is the final cost

Answers

Answer:

4,840

Step-by-step explanation:

15% of 22000 is 3300 and 7% of 22000 is 1540 so add those together to get 4840.

y’all i need help bro

Answers

Answer:

you got this

Step-by-step explanation:

f(4) = what equation will equal -2

A shopkeeper buys 10 television sets from a retailer at a rate of Euro 15,000 per set. He sells half of them at a profit of 25 % and rest half at a loss of 20%. Find the overall profit/loss faced by the shopkeeper.

Answers

Answer: Profit of $3,750

Step-by-step explanation:

Sold half of the sets at a profit of 25%;

= (15,000 * 5 sets) * 25%

= $‭18,750‬

Sold the other half at a loss of 20%;

= (15,000 * 5) * 20%

= $15,000

Profit (loss) = 18,750 - 15,000

= $3,750

Elaine is making a flower garden with rows of flowerS The garden is 20 yards long. She wants a total of 7 rows of flowers that are all the same Width. Which calculation should Elaine use to decide how wide to make each row?​

Answers

Answer:

20/7

Step-by-step explanation:

hope this helps, but basically you divide 20 yards by 7 to get the width of each row

Answer:

8     4 / 7

Step-by-step explanation:

Expressed
as a
decimal, 3% is
A
0.03
B
0.3
3.0
D
30.0

Answers

Answer:

0.03

Step-by-step explanation:

3% as a fraction is 3/100. as a decimal it is 0.03. notice when you read the decimal aloud, it is three one-hundredths, which is also the same read aloud in a fraction.

Answer:

A

Step-by-step explanation:

3/100=0.03

:))) Helps?

Price of Rope
3 The amount a hardware store pays for buying nylon rope
is represented by the equation y = 0.12%, where y is the
price it pays for x feet of rope. The amount the hardware
store charges when selling the rope is represented by
the graph
The profit the store makes on the rope can be found by
subtracting the amount it charges for the rope from the
price it pays for the rope. If the store sells 80 feet of rope,
how much profit does it make on that rope?
Show your work.
y
A
1.80
1.60
1.40
ū1.20
8 1.00
0.80
0.60
0.40
0.20
0 1 2 3 4 5 6
Length (ft)

Answers

Answer:

The answer is 2.25 that makes profit

Step-by-step explanation:

What is the answer.........

Answers

Answer:

1 is correct

2 is correct

3 is incorrect

4 is incorrect

5 is correct

Step-by-step explanation:

1 is correct because the statue lies the same distance from both entrances.

2 is correct because B is also the same distance from both entrances.

3 is the opposite of 2, saying that B is not equal distance from both entrances, making it false.

4 is incorrect because a is closer to the upper entrance.

5 is correct because it is basically the same question as 2, saying b is the same distance from both entrances.

Drag and drop the numbers into the boxes to create an expression that is equivalent to the given expression
213 +35

Answers

Answer:

7 and 21

Step-by-step explanation:

Please help me with this

Answers

Answer:

The length= 16cm

The width= 6cm

The two long sides are 8cm both so 8 + 8 = 16

And the two short sides are 3cm both so 3 + 3 = 6

So your length should be 16cm and your width 6cm

I HOPE THIS HELPS! ∧   ∧

                              ⊂∵→ω←∵⊃

ok how is every ones day ok what is 12345 times 23456=

Answers

The answer is 289,564,320. Have a nice day and Happy Holidays

I need help please thank you

Answers

Answer:

its b i think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

They can't add 5 into it because they are not like terms if it was 5h instead then yes you could but it is just 5.

The table shows the cost for different numbers of t-shirts.
T-shirts
Cost
3
$38.85
5
$64.75
6
$77.70
Determine if the relationship is proportional and write the constant of proportionality. If it is not
proportional, write “NP”

Answers

Answer:

proportional bc all of them are 1 shirt = 12.95

Owen receives $10 and puts it into his savings account. He adds $0.50 to the account each day for a number of days, d, after that. He writes the expression 10+0.5(d−1) to find the amount of money in his account after d days. Which statement about his expression is true?

Answers

Answer:

it is the sum of the initial amount and the additional amount after d days

Step-by-step explanation:

yw!!.

Given:
Quadrilateral ABCD is similar to Quadrilateral GHIJ.
Find the value of x.
A. 4.5
B. 8
C. 9
D. 12
E. 18

Answers

Answer:

A. 4.5

Step-by-step explanation:

the question is on the sheet.​

Answers

area of the whole figure

[tex] = (x + 1)(2x + 3) \\ = x(2x + 3) + 1(2x + 3) \\ = 2 {x}^{2} + 3x + 2x + 3 \\ = {2x}^{2} + 5x + 3[/tex]

area of the unshaded region

[tex] = x(2x) \\ = {2x}^{2} [/tex]

area of the shaded region

[tex] = {2x}^{2} + 5x + 3 - {2x}^{2} \\ = ( {2x}^{2} - {2x}^{2} ) + 5x + 3 \\ = 5x + 3[/tex]

THEREFORE,

THE AREA OF THE FRAME IS C. 5x + 3

The elevations of four points above sea level there are -47 ft, -20 ft,-8 ft, and -18 ft. The elevation of the point closest to sea lvl (level) is _____ ft, and the elevation of the point farthest from sea lvl is _____ ft. (FILL IN THE BLANKS PLS HELP)

Answers

Answer:

The elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.

Step-by-step explanation:

Let's assume the elevation above the sea level is on a number line, then we have to arrange the given number from lowest to highest. These are the numbers in ascending order.

–42ft, –20ft, –18ft, –8ft.

From here we see that, the elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.

tom swims at a rate of 50 meters in 40 seconds at this rate how many meters can he swim in 1 minute

Answers

Answer:

75

Step-by-step explanation:

If Eugene can buy three cantaloupes for $7. Then how many can you buy with $14


If anyone could help me please on number 4

Answers

I believe the answer would be 6 because 7x2=14 so 3 cantaloupes x 2= 6

The price of a ticket, in dollars, on the local commuter train can be determined from the expression 2.75 + 0.50(s), where s is the number of stops for which the passenger will be on the train. Use this expression to find the price of a ticket to ride the train for 13 stops.

Answers

Answer:

$9.25

Step-by-step explanation:

2.75+ .5(13)

.50 (13)= 6.5

6.5 +2.75= 9.25

A store is having a 20%-off sale on all pairs of shoes. Kurt wants to buy a pair of shoes that have a regular price of x dollars. The sales tax is 7%. Which expression represents the final price of the shoes?

Answers

Answer:

[tex]\$ \ \dfrac{428}{500}x[/tex]

Step-by-step explanation:

Regular price of a pair of shoes = $[tex]x[/tex]

Discount offered = 20%

Amount of discount offered = 20% of $[tex]x[/tex]

Discounted price = Regular price - Amount of discount

Discounted price = $[tex]x[/tex] - 20% of $[tex]x[/tex] = 80% of $[tex]x[/tex] = [tex]\$ \frac{4}{5}x[/tex]

Now, it is given that there is a sales tax of 7% as well on the price.

Sales tax is applied on the discounted price.

Therefore, sales tax = 7% of [tex]\$ \frac{4}{5}x[/tex]

Final Price after applying the sales tax = [tex]\$ \frac{4}{5}x[/tex] + 7% of [tex]\$ \frac{4}{5}x[/tex]  

[tex]\Rightarrow 107\%\ of\ \$\ \ \dfrac{4}{5}x[/tex]

[tex]\Rightarrow \$ \ \dfrac{428}{500}x[/tex]

Therefore, the expression to represent the final price of the pair of shoes:

[tex]\$ \ \dfrac{428}{500}x[/tex]

Members of a baseball team raised $1199.50 to go to a tournament. They rented a bus for $830.50 and budgeted $30.75 per player for meals. Determine the number of players the team can bring to the tournament.

Answers

Answer:

The team can bring 12 players to the tournament.

Step-by-step explanation:

With the information provided, you can say that cost of going to a tournament is equal to the cost of renting the bus plus the result of multiplying the cost per player for meals for the number of players, which is:

c=830.50+30.75x, where:

c is the cost of going to a tournament

x is the number of players

Now, you can replace c with $1199.50 that is the total amount they raised and solve for x:

1199.50=830.50+30.75x

1199.50-830.50=30.75x

369=30.75x

x=369/30.75

x=12

According to this, the answer is that the team can bring 12 players to the tournament.

Which equation best represents the relationship between x and y in the graph?
y
A. O y = 4x - 1
B.Oy = 12-1
C.
y = 4x + 1
DO g =
1x +1

Answers

u3uwi2i2i3ij3j3ui

Step-by-step explanation:

ii3jj3i3i3i3i3i3ii3u3ieu so

52*6854454^((3)/(6))-:82673+476455555365555567-23627457546234*465566=?

Answers

Sawarasenai kimi wa shoujo na no?~

Boku Wa yaRcHin BiCChi nO oSu Da YO!~~

10 to the power of 19 hope this helped

Pleeeeeaaaasee help

The difference of a number and 8 is 46 less the number. Find the number​

Answers

Answer:

54

Step-by-step explanation:

what u gotta do is add 46 with 8 and you can check my answer with 54-46=8

difference means you subtract

sum means you add

product means you multiply

and quotiant means you divide

The required number is 27.

Given that,
To determine the number the difference of a number and 8 is 46 less than the number

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number be x
The difference between a number and 8 is 46 less than the number
8 - x = x - 46
2x = 54
x = 27

Thus, the required number is 27.

Learn more about arithmetic here:

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The price of a leather coat is $150.00 plus 8% sales tax. What is the sales tax on the leather coat?

Answers

Answer:

$12

Step-by-step explanation:

To find this, you just need to find 8 percent of 150. You can do this by multiplying 150 by .08, or multiplying 150 by 8/100.

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