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
kogti [31]
3 years ago
11

Can somebody please help me?

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0
 <span>for the first part, realize that the hour and minute hands are moving at different rates; in one hour, the minute hands moves all the way around the face of the clock, and thus moves a total of 360 degrees or 2 pi radians; the hour hand moves only 1/12 away around the clock, so covers only 30 degrees or Pi/6 radians. 

Now, the LINEAR distance traveled by the tip of each hand is also determined by the length of the hand. In the case of the minute hand, it sweeps out a circle of radius 10 cm, so traces out a circle of radius 10 cm. Since the circumference of a circle is 2*pi*r, the minute hand (remember it made one complete cycle) covers a distance of 2*pi*10cm=20 Pi cm 

The hour hand covers only 1/12 a circle, but that circle is only 6 cm in radius, so the distance traveled by the tip of the minute hand is: 

1/12 *[2 *pi*r]=1/12*[12*pi]=pi 

so the difference is 19pi 

for the last part, you should draw a diagram of the two hands, the minute hand is 10 cm in length, the hour hand is 6 cm in length, and they are 30 degrees apart...from that drawing, see if you can figure out the remaining leg of the triangle you can form from them 

good luck</span><span>
</span>
You might be interested in
If the probability that a chef likes carrots is 0.13, the probability of those who like broccoli is 0.72, and the probability of
rosijanka [135]

Taking into account definition of probability, the probability of those who like both is 0.07 or 7%.

<h3>Definition of Probabitity</h3>

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

<h3>Union of events</h3>

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

<h3>Complementary event</h3>

A complementary event, also called an opposite event, is made up of the inverse of the results of another event. That is, That is, given an event A, a complementary event is verified as long as the event A is not verified.

The probability of occurrence of the complementary event A' will be 1 minus the probability of occurrence of A:

P(A´)= 1- P(A)

<h3>Events and probability in this case</h3>

In first place, let's define the following events:

  • C: The event that a chef likes carrots.
  • B: The event that a a chef likes broccoli.

Then you know:

  • P(C)= 0.13
  • P(B)= 0.72

In this case, considering the definition of union of events, the probability that a chef likes carrots and broccoli is calculated from:

P(C∪B)= P(C) + P(B) -P(C∩B)

Then, the probability that a chef likes carrots and broccoli is calculated as:

P(C∩B)= P(C) + P(B) -P(C∪B)

In this case, considering the definition of the complementary event and its probability, the probability that a chef likes NEITHER of carrots and broccoli is calculated as:

P [(C∪B)']= 1- P(C∪B)

In this case, the probability of those who like neither is 0.22

0.22= 1 - P(C∪B)

Solving

0.22 - 1= - P(C∪B)

-0.78= - P(C∪B)

- (-0.78)= P(C∪B)

<u><em>0.78= P(C∪B)</em></u>

Now, remembering that P(C∩B)= P(C) + P(B) -P(C∪B), you get:

P(C∩B)= 0.13 + 0.72 -0.78

Solving:

P(C∩B)= 0.07=  7%

Finally, the probability of those who like both is 0.07 or 7%.

Learn more about probability:

brainly.com/question/25839839

brainly.com/question/26038361

#SPJ1

6 0
2 years ago
CAN SOMEONE ANSWER JUST S4 PLEASE
Sergio039 [100]

Answer:

9x -18+18=43+18

Step-by-step explanation:

added 18 to both sides

hope this helps good luck :)

3 0
3 years ago
A large random sample of American students in seventh grade showed that 20%20\% 20% 20, percent of them were reading below grade
WITCHER [35]

Answer:

The answer is A i must took the test

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME I BEGGING YOU PLZZZZZZZZZZZZZZZ HELP!!!! (55 POINTS)
Karo-lina-s [1.5K]

Answer:

1. 74 because 8(10) - 6

2.4(4) - 5(3) = 1

3. 7(3)+8(4) * 2 = 106

4. A

5.a

6. 20.5

7.26

8.a

9.a

10a

Step-by-step explanation:

3 0
3 years ago
13. Simplify: 6x+8/4x+4<br><br> A. x+7/8<br> B. 3x+4/2(x+1)<br> C. 5x+9/3x+8<br> D. x-10/x-6
harkovskaia [24]
I think it is A.....
6 0
3 years ago
Other questions:
  • Suppose that a is a nonzero constant for which the equation ax^2+20x+7=0 has only one solution. find this solution.
    15·1 answer
  • How to solve 2x - 3x/2 = -x + 1/3<br> PLZ HELP!
    9·2 answers
  • What is the end behavior of f(x)=(x-2)^2(x+4)?
    15·1 answer
  • Simplify <img src="https://tex.z-dn.net/?f=%5Csqrt%7B-72%7D" id="TexFormula1" title="\sqrt{-72}" alt="\sqrt{-72}" align="absmidd
    11·1 answer
  • (2x^3-3x^2-19x+30)/(x-3)​
    8·1 answer
  • 2. A circle of radius 12 units is divided into 8 congruent slices.
    9·1 answer
  • What is the value of − 9 × ( 1 4 ) ÷ ( − 0.75 ) ?
    8·1 answer
  • Y=4.5x+13.45 y=6x-4.55
    13·1 answer
  • How do beans cost in 12 pounds?
    10·1 answer
  • 42 POINTS PLEASE ANSWER.....The sum of the angles in a triangle is 180 degrees.In a particular triangle the first angle is 18 de
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!