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
lions [1.4K]
3 years ago
5

If the length of the minute hand of the clock in London commonly known as “Big Ben” is 11.25’ from the center of the clock to th

e tip of the hand, what is the area swept out by the minute hand as it moves 5 minutes of time?
A) 10.55 ft2
B) 28.13 ft2
C) 33.13 ft2
D) 66.27 ft2
Mathematics
1 answer:
rodikova [14]3 years ago
5 0
First, we should figure out the area of the entire face of the clock because we need that information to solve the problem. The formula for the area of a circle is A=pi*r^2. Since we know that r (radius) is equal to 11.25 feet, we can plug this in for r and solve for A: A=pi*11.25^2 which equals A=397.61 ft^2 rounded to the nearest hundredth. 

Now, to find the area the hand sweeps over in 5 minutes, we should determine how much of the clock the hand sweeps over in 5 minutes. Think about it like this: since 5 minutes goes into 60 minutes 12 times (60/5=12), then 5 minutes is one twelfth of the clock's face. Therefore, we are going to divide the total area by 12 (397.61/12) to get 33.13 ft^2, so the answer is C.

I hope this helps.
You might be interested in
Given a=4,b=-2 and c=8, evaluate -|b-a|<br><br> -2<br> -6<br> 6
Salsk061 [2.6K]

Answer: -6


Step-by-step explanation: -|b-a|

-|-2-4|

-|-6|

-6

Once you get rid of the absolute value bars the negative sign is still outside of them making 6 negative again. Hope this helped! :P


5 0
3 years ago
Read 2 more answers
Suppose that the value of a stock varies each day from $13 to $24 with a uniform distribution. (a) Find the probability that the
bogdanovich [222]

Answer:

a. P= 0.6364

b. P = 0.3636

c. Q = $21.25

d. P = 0.5

Step-by-step explanation:

given data

value of a stock varies = $13 to $24

solution

P (stock value is more than $17)

P = \frac{(24-17)}{(24-13)}

P =  \frac{7}{11}

P = 0.6364

and

P (value of the stock is between $17 and $21)

P = \frac{(21-17)}{(24-13)}

P = \frac{4}{11}

P = 0.3636  

and  

Let the upper quartile be Q

\frac{(24 - Q)}{(24 - 13)} = 0.25

\frac{(24 - Q)}{11} = 0.25

(24 - Q) = 2.75

so

Q = $21.25

and

P(X > 20 | X > 16)

P = \frac{(24-20)}{(24-16)}

P = \frac{4}{8}

P = 0.5

3 0
3 years ago
If 6 lemons cost 90p what is the price of 1 lemon and four lemons
alina1380 [7]
75p is the correct answer because 1 lemon is 15p
8 0
3 years ago
Read 2 more answers
Do you distribute or use exponents first
Temka [501]
My math teacher time me is easier to do it after
3 0
3 years ago
The value is $400 invested at 4% interest compounded monthly for 10 years.
svetoff [14.1K]
The equation for interest is 
'Initial amount (interest rate in decimal form) ^ times compounded EX: years'

your equation would be
400(1.04)^10

which equals 592.097713 (not rounded)
8 0
3 years ago
Other questions:
  • Solve 4x − 2(x + 1) = 3x + 10. −12 12 −8 8
    14·2 answers
  • Which function represents the graph of y=10(4)x ?<br><br><br><br> f<br><br> g<br><br> h<br><br> j
    11·2 answers
  • A box of small crackers holds 4 equal servings. If there are 124 crackers in the box, how many crackers are in each serving?
    9·2 answers
  • How do I solve this STATS question?
    6·1 answer
  • Maria wants to store her soup in a cylindrical container and completely cover it in aluminum foil. What is the surface area of t
    7·1 answer
  • Which expression represents the perimeter of the model shown below? PLEASE HELP
    5·2 answers
  • Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of t
    6·1 answer
  • What is the slope of the line from the data shown in the table below? It’s question 9 by the way.
    13·1 answer
  • Problem<br> 3 erasers cost $4.41<br> Which equation would help determine the cost of 4 erasers?
    9·2 answers
  • Given that the aspect ratio of a given rectangle is 4:3, find length and width of the rectangle if the diagonal is 2500
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!