1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yakvenalex [24]
3 years ago
15

How far does the tip of the minute hand of a clock move in 1 hour and 27 minutes if the hand is 2 inches long?

Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0
So, a full circle has 360°, thus when the minute hand does one hour, it does a full circle, therefore 360°.

now, how many degrees are there in 1 minute?  well, there are 60 minutes in 360°, therefore there are 360/60 degrees in 1 minute, or 6°.

now, we know in 1 hour there are 360°, how many in 27 minutes?  well, 27 * 6, or 162°.  So after 1hr and 27min, the minute hand has done 360+162 or 522°.

we also know the minute hand is 2 inches long, thus

\bf \textit{arc's length}\\\\
s=\cfrac{\pi \theta r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=2\\
\theta =522
\end{cases}\implies s=\cfrac{\pi \cdot 522\cdot 2}{180}


which is roughly 18 inches rounded up.
You might be interested in
Which of the following represent x=1/2y written in general form
Solnce55 [7]
2x-y = 0 is the correct answer
8 0
3 years ago
Read 2 more answers
One of the largest cookies made on record had a diameter of 78.75 feet. What was the circumference of the cookie?
Bas_tet [7]

Answer:

247.4

Step-by-step explanation:

- you can either use pi*diameter or 2pi*radius

- \pi (78.75) = 247.4

7 0
2 years ago
HELP ME PLEASE I CANT DO THIS ANYMORE IVE BEEN 3 hours doing this
krok68 [10]

Answer:

I think it’s 15??

4 0
3 years ago
Read 2 more answers
When is the substitution method a better method than graphing for solving a system of linear equations?
Allisa [31]
Vasgr dgwqaesf asgeqhqethqe asgqeh
7 0
2 years ago
What is 30% written as a fraction in simplest form? (Lol I asked the wrong question earlier this is what I meant )
igor_vitrenko [27]

Answer:

3/10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of this expression when x=-6 and y= -1/2? 4(x^2+3)-2y
    7·2 answers
  • Moses and leillah are still playing the game "Guess My Numbers". It is Leillah's turn.
    7·1 answer
  • The distance from a point to two is five units. The point could be located at
    6·2 answers
  • Which of these is the algebraic expression for the verbal expression "five times the difference of a number and six
    6·1 answer
  • Compute the face value of a 90-day promissory note dated October 22, 2018 that has a maturity value of $76,386.99 and an interes
    5·1 answer
  • Becky runs 3 miles in 24 minutes. At the same rate, how many miles would she<br> run in 60 minutes?
    6·2 answers
  • Tony’s taxi had a rate chart posted on the side of each cab. Distance charge: 1 mile- $3.50 2 miles- $5.50 4 miles- $9.50
    8·1 answer
  • Evaluate the expression 8b/a if b=8 and a=2<br><br> FYI 8b/a is a fraction.
    12·1 answer
  • What do you get when you simplify 12/8
    9·1 answer
  • Y = 5x + 1<br> Table down below<br> Help!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!