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
Round 637.892 to whole number
Stels [109]

Answer:

638

Step-by-step explanation:

its 638, not 639 because its above 638.5

4 0
3 years ago
Read 2 more answers
The diagram shows a scale drawing of a playground the scale of the drawing is 1:500 work out the perimeter of the real playgroun
liraira [26]

Answer:

Check Explanation

Step-by-step explanation:

The complete question plus diagram is presented in the attached image to this solution.

From the attached image, the dimensions of the playground drawn will be a bit variable now as zooming and some editing might have tampered with the original intended dimensions to be measured.

But still, let us assume that on measuring the rectangular playground shown, we obtain approximately that the length is 4.5 cm and the breadth is 2 cm.

The scale to convert to real life is 1;500 indicating that

1 cm on the drawing = 500 cm lenght units of the real playground.

So,

4.5 cm on the drawing = 4.5 × 500 = 2250 cm of the playground

2 cm on the drawing = 2 × 500 = 1000 cm of the playground.

Hence, the real life dimensions of the playground is 2250 cm by 1000 cm.

In meters, that is 2.25 m by 1 m

The perimeter of a rectangular figure is given as

Perimeter = 2(Length + Breadth)

= 2(2.25 + 1)

= 6.5 m

Hope this Helps!!!

5 0
3 years ago
A _________ is used to change one unit to another?
slamgirl [31]

Answer:

conversion factor

Step-by-step explanation:

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.

8 0
3 years ago
I have 20 dollars, I want to split it between 3 people? How much would each person get if they got the same equal amount?
Ugo [173]
They would each get 6 dollars and 66 cents :) ♥♥
7 0
3 years ago
Read 2 more answers
A:1 hour 37 minutes <br> B:2 hours 37 minutes <br> C:2 hours 23 minutes <br> D:1 hour 23 minutes
Y_Kistochka [10]
The correct answer is 1 hour 37
6 0
3 years ago
Other questions:
  • Evaluate 8+6÷2+(2+10) help and work with answer please
    8·2 answers
  • I need help immediately
    13·1 answer
  • A quantitative variable that has a finite or countable number of values is called
    15·1 answer
  • Instructions: Find the measure of the indicated angle to the<br> nearest degree
    15·1 answer
  • Express the terms of the following sequence by giving a recursive formula.
    11·1 answer
  • PLEASE HELP ME :(<br> God bless.
    14·1 answer
  • Write the equation of a line in slope-intercept form that passes through the given points.
    10·1 answer
  • Please help I don’t know how to set it up
    5·2 answers
  • Question 1.:
    5·1 answer
  • Can I get help please..................
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!