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
polet [3.4K]
2 years ago
9

Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)? ​

Mathematics
1 answer:
timofeeve [1]2 years ago
5 0

Answer:

π/8 radians

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION

In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?

SOLUTION

✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.

Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)

Within the 1hour minutes, the hand can move with complete cycle of 2π radians

Then At time t= 45minutes

Angle through the circle at 45 minutes= 45/60 ×2π radians

= 3π/2 radians

And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians

For t=45 minutes

Then 1/12 × 2π ×45/60

= π/8 radians

Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.

You might be interested in
Use the rule of 78 to find the finance charge refund if the Finance charge was $476 on a 12 month payment plan and the loan was
Lelu [443]

Answer:

finance charge refund is $91.53

Step-by-step explanation:

given data

finance charge F = $476

time t = 12 month

no of payment n = 5

to find out

finance charge refund

solution

we will apply here finance charge refund formula that is

finance charge refund = F × \frac{n * (n+1)}{t* (t+1)}

put here value we get

finance charge refund = 476 × \frac{5 * (5+1)}{12* (12+1)}

finance charge refund = 476 × \frac{5 * (6)}{12 * (13)}

finance charge refund = 476 × \frac{30}{156}

finance charge refund = 476 × 0.1923

finance charge refund = 91.53

so finance charge refund is $91.53

4 0
3 years ago
Marina spent $13.50 at the grocery store. She bought pears, kiwis, and pineapples. Pears cost $0.50 each, pineapples cost $1.50
MArishka [77]

Answer:

Number of pineapples= 10

number of pears = 19

number of kiwis = 10 -2 = 8

Step-by-step explanation:

Cost of a pear = $ 0.50

Cost of a pineapple = $ 1.5

cost of a kiwi = $ 0.3

Let the pineapples = p

Number of pears = 9 + p

Number of kiwis = p - 2

The cost is

0.15 p + 0.5 (9 + p) + 0.3 (p - 2) = 13.50

0.15 p + 4.5 + 0.5p + 0.3 p - 0.6 = 13.50

0.95 p = 9.6

p = 10

 

8 0
2 years ago
Read 2 more answers
What is the slope of (2,4) and (0,0)
cricket20 [7]

Answer:

slope = 2

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

    = (0-4)/(0-2)

  = -4/-2

 = 2


6 0
3 years ago
Read 2 more answers
How do you put x=y-1 <br> into word form
77julia77 [94]

Answer:

x equals y minus one

Step-by-step explanation:

= means equals

- is minus

x and y cannot be put into any other (word) form

hope this helps:)

4 0
2 years ago
A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, t
masha68 [24]

Here we must see which information about the graph of a linear relationship is given.  The information given is just the y-intercept and a point that is not an intercept, thus the correct option is E.

<h3>Linear relationships:</h3>

So we define a general linear relationship as:

y = a*x + b

Where a is the slope and b is the y-intercept.

In this problem we know that:

  • Originally, the sheet of ice is 2 meters thick.
  • The thickness decays at a constant rate
  • After 3 weeks, the thickness is 1.25 meters.

The first point gives us the y-intercept (the thickness at week 0), the second one gives us the fact that the relationship is linear, and the third one is just a point on the line (that can be used to get the slope.)

So the information given is just the y-intercept and a point that is not an intercept, thus the correct option is E.

If you want to learn more about linear relationships, you can read:

brainly.com/question/4025726

7 0
2 years ago
Other questions:
  • Math help!!! Can somebody answer 1&amp;2.
    10·1 answer
  • Researchers sampled 178 young women who recently participated in a STEM program. Of the 178 STEM​ participants, 110 were in urba
    5·1 answer
  • Kevin's work for deriving the equation of a circle is shown below. x2 + 4x = −(y2 − 20) step 1 x2 + 4x = −y2 + 20 step 2 x2 + 4x
    13·1 answer
  • The coordinate grid shows points A through K. What point is a solution to the system of inequalities?
    9·1 answer
  • Sunni is riding a raft down a stream that is moving at a rate of 75 feet per minute how far downstream does she travel in 5 minu
    7·1 answer
  • Please answer this question
    8·2 answers
  • I need help again.. please give me a real answer.
    15·2 answers
  • Please help me i need help on this question...
    8·1 answer
  • Find the slope of the line passing through the points (3,-9) and (2, -3).
    9·1 answer
  • Hypotenuse: The ________ side of a right triangle; side ________ from the right angle.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!