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bazaltina [42]
2 years ago
9

At 11:55 p.m., Thomas ties a weight to the minute hand of a clock. The clockwise torque applied by the

Mathematics
1 answer:
ryzh [129]2 years ago
7 0

Answer:

  T(t) = 3sin((t-5)π/30)

Step-by-step explanation:

5 minutes after Thomas ties it on, the torque is zero and increasing. So, the sine function is shifted right 5 minutes. The maximum value is 3, so that is the multiplier of the sine function. The period is 60 minutes, so the coefficient of t is (2π/60) = π/30. The function you want is ...

  T(t) = 3sin((t-5)π/30)

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What are the terms of each expression 3a-19
laiz [17]
Hope this is what you were looking for:)

6 0
2 years ago
Read 2 more answers
Amar cycles at a speed of 18km/h.
damaskus [11]

Answer:

<em>The distance between the two villages is 16.5 Km</em>

Step-by-step explanation:

<u>Constant Speed Motion</u>

It's a type of motion in which the distance of an object changes by an equal amount in every equal period of time.

If v is the constant speed, the object travels a distance x in a time t, given by the equation:

x=vt

Amar cycles at v=18 Km/h for t=55 minutes. We need to calculate the distance traveled between the two villages.

Since the speed and the time are given in different units, we convert the time to hours, recalling that 1 hour=60 minute.

t=55 min = 55/60 hours

For the sake of precision, we won't operate the division so far. Compute the distance:

x=18 *55/60=16.5 Km

The distance between the two villages is 16.5 Km

7 0
2 years ago
Your sister helped you get a dream job at a designer clothing store and one of the perks of the job is that you get 15% off all
Arturiano [62]

Answer:

$197.30 revenue.

Step-by-step explanation:

As long as we realise that 15% = $237.50 total revenue - 15% of that revenue $40.20 and the other 15% was totaled prior and kept to one side as seen as expenditure.

revenue = r  clothing purchase = p

r = (25 x 10 -12.50) - (p15% of e235)

r = (250 - 12.50) -( e235- p23.5 +11.73)

r = (237.50) - (expenditure 235- p35.73)

r = 237.50 -(expenditure 199.27)

r= 237.50

e = 199.27

p = 35.73

Answer with out including expenditure your sister revenue was $237.50

The 15% deduction cannot be confused with the deduction from clothes.

If we were to calculate 15% of $237.50 this would be 23.7+ 16.85 =$40.2

A different  Salary related 15% contribution payments = $40.20

If these were taken from $237.50

Then $237.50- $40.20 = $197.30 revenue, but we do not have to show expenditure in the total only the workings, which is still owed being $199.27- $40.20 already paid towards.

Extension = This means because $40.20 was deducted then expenditure still to be deducted outside of the question would be   e. $199.27 - $40.20 = 159.07 still owed. Saying that the 15% was to pay your sisters contribution to the clothes and not to the state.

5 0
2 years ago
Please... Solve this: the bearing of a tree from a house is 295°. Find the bearing of the house from the tree.
jonny [76]

Given parameters:

Bearing of the tree from the house  = 295°

Unknown:

Bearing of the house from the tree = ?

Solution:

This is whole circle bearing problem(wcb). There are different ways of representing directions from one place to another. In whole circle bearing, the value of the bearing varies from 0° to 360° in the clockwise direction.

To find the back bearing in this regard, simple deduct the forward bearing from 360°;

    Backward bearing  = 360° -295°

                                    = 65°

The bearing from house to the tree is 65°

4 0
2 years ago
adam invests $6,139 in an retirement account with a fixed annual interest rate compounded continuously. after 17 years the balan
Digiron [165]

2485.97 would be what he earned as an interest rate. The percentage would be6%

8 0
2 years ago
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