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
The diameter of a circle has endpoints (2,-6) and (-4,-16).
olga nikolaevna [1]

Answer:

(x + 1)^{2}  + (y + 11)^{2} = 34

Step-by-step explanation:

First find the midpoint of the segment  from (2, -6) to (-4, -16)

((2 - 4)/2, (-6 - 16)/2)

(-2/2, -22/2)

(-1, -11) is the midpoint and is the center of the circle

Now find the distance between the 2 given points and divide by 2 to get the radius of the circle

d = \sqrt{(2 + 4)^{2} + (-6 + 16)^{2}  }

  = \sqrt{6^{2} + 10^{2}  }

  = \sqrt{36 + 100}

  = \sqrt{136}

r = \sqrt{136}/2

r^{2} = 136/4 = 34

Equation of circle with center at (-1, -11) and radius = \sqrt{34} is

(x + 1)^{2}  + (y + 11)^{2} = 34

3 0
3 years ago
Determine whether the first phrase is a subset of the second phrase, or the second phrase is a subset of the first phrase, or ne
S_A_V [24]

Answer:

Kindly check explanation

Step-by-step explanation:

A subset simply refers to a set whose elements are all members of a larger set.

Going by the definition :

The set of people born in the U.S is a subset of the set of people who are U. S citizens because citizenship in the U. S is not only attained by birth.

The set of Java students are all members of the set containing students studying a programming language, hence, The set of students studying Java is a subset of the set of students studying a programming language because Java is just one of the many different types of programming languages

{FISH_IN_OCEAN} is a subset of of the set of animals living in Ocean because not only fishes live in the ocean, fish is just one of the diverse marine animals that exist.

4 0
3 years ago
There are 15 students in the class and 8 are boys. What is the ratio of girls to students in the room?
cricket20 [7]

Answer:

7/15

Step-by-step explanation:

hope this helps?:)

8 0
3 years ago
Ricardo lost 6 golf balls while playing yesterday . He bought a box of 12 golf balls, then lost 4 on the course today. He now ha
sashaice [31]
He had 6 golf balls to begin with
7 0
3 years ago
I need help on number 11-13 please
Natasha_Volkova [10]
The answer to number 141
3 0
2 years ago
Other questions:
  • PLZ HELP ME BY TONIGHT AT 12:30 ITS DUEEE <br><br> ps/ plz answer ALLL the questions
    11·1 answer
  • Greenboro gets 12 times as many inches of snow as Redville gets. Altogether, the two towns get 65 inches of snow. How many inche
    12·1 answer
  • 9k - 6k + 7k - 8 simplify the expression
    7·1 answer
  • QUESTION 16The cost of DVD players has dropped by $20 each year. If a DVD player cost $189 four years ago, how much does it cost
    5·2 answers
  • four students spent 12 dollars on school lunch at this rate find the amount 10 students would spend on the same school lunch
    8·1 answer
  • Solve for x 3(x+2) + 4(x-5)=10
    15·2 answers
  • James earns $9.45 per hour. IfJames worked 37.75 hours last week, what was his gross pay?
    11·1 answer
  • one ounce of cheddar cheese contains 9 grams of fat. six of the grams of fat are saturated fats. find the ratio of saturated fat
    13·1 answer
  • PLS HELP ASAP, 20 POINTS
    14·2 answers
  • A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a 4 topping sandwich
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!