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Dafna11 [192]
2 years ago
9

At 111111:55\text{ p.M.}55 p.M.55, start text, space, p, point, m, point, end text, Thomas ties a weight to the minute hand of a

clock. The clockwise torque applied by the weight (i.E. The force it applies on the clock's hand to move clockwise) varies in a periodic way that can be modeled by a trigonometric function. The torque peaks 151515 minutes after each whole hour, when the minute hand is pointing directly to the right, at 3\text{ Nm}3 Nm3, start text, space, N, m, end text (Newton metre, the SI unit for torque). The minimum torque of -3\text{ Nm}−3 Nmminus, 3, start text, space, N, m, end text occurs 151515 minutes before each whole hour, when the minute hand is pointing directly to the left.
Mathematics
1 answer:
Dahasolnce [82]2 years ago
7 0

Answer:

r(t)=3sin((2pi/60)*(t-5))

Step-by-step explanation:

Found it on Khan Academy

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Lucy is saving money to buy a game. The game costs $21, and so far she has saved one-third of this cost. How much money has Lucy
Svetach [21]

Answer:

$7

Step-by-step explanation:

just did 21 divided by three since it says she has saved one third of the $21.

5 0
2 years ago
Read 2 more answers
3 1/3 - 2 2/5 what is the answer?
AURORKA [14]
One way to solve this is by changing the mixed numbers to improper functions. 
3 1/3 = 10/3
2 2/5 = 12/5

The next step I would take is to find a common denominator.
10/3 = 50/15
12/5 = 36/15

Now we can solve the original equation: 
50/15 - 36/15 = 14/15

Since 14/15 is already simplified this is your final answer.
7 0
2 years ago
How do i find the intercepts of the equation -5x-4y=10
Y_Kistochka [10]

Answer:

To find the x intercept, let y=0. To find the y-intercept, let x=0. Hence, the x-intercept of the given equation is -2 and the y-intercept is -5/2.

Step-by-step explanation:

Let - 5x - 4y = 10 be the given equation.

Simplify the whole equation by dividing both sides by -1 :

  • 5x + 4y = -10

To get the x-intercept, simply let y=0 :

  • 5x + 4(0) = -10 (substitution)
  • 5x = -10           (evaluate)
  • x = -2               (simplify by dividing both sides of the equation by 5)

To get the y-intercept, simply let x=0 :

  • 5(0) +4y = -10  (substitution)
  • 4y = -10            (evaluate)
  • y = -10/4           (simplify by dividing both sides of the equation by 4)
  • y = -5/2            (simplify the fraction)
8 0
3 years ago
There is a 10% off sale on laptop computers. If someone saves $35 on a laptop, what was its original cost?
IceJOKER [234]

Answer:

The original cost is $350

Step-by-step explanation:

Let's assume

original cost of computer is x

There is a 10% off sale on laptop computers

So, amount saved is

=\frac{10}{100}x=0.10x

now, we are given

someone saves $35 on a laptop

so, we can set them equal

and then we can solve for x

0.10x=35

we can divide both sides by 0.10

and we get

x=350

So,

The original cost is $350

4 0
2 years ago
12.<br>The container shown has a capacity of 60 milliliters.<br>What fraction of it is empty?<br>​
White raven [17]

This is an incomplete question, the image is shown below.

Answer : The fraction empty container is, \frac{7}{12}

Step-by-step explanation :

As we are given that:

The capacity of container = 60 mL

In the given figure, the container is filled with 25 mL.

That means,

60 - 25 = 35 mL container is empty.

Now we have to calculate the fraction of it is empty.

The fraction of it is empty = \frac{\text{Capacity of empty container}}{\text{Total capacity of container}}

The fraction of it is empty = \frac{35mL}{60mL}

The fraction of it is empty = \frac{7}{12}

Therefore, the fraction empty container is, \frac{7}{12}

7 0
3 years ago
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