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Gwar [14]
3 years ago
12

Divide the given polynomial by the given monomial 3 x square - 2 x divided by X ​

Mathematics
1 answer:
inna [77]3 years ago
7 0
Dividing (3x^2-2x) by x gives out 3x-2
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Charlotte has given Ron a BIG bar of chocolate for Valentine’s day! He decides to break the bar into its individual squares to s
Cerrena [4.2K]
Length of bar= 6 units
Width of bar= 13 units
Formula for area of rectangular chocolate bar:
A= L x W
Put values
A= 6 x 13
A=78 square units
So he will break the bar into 78-1=77 times

Answer: 77 times
6 0
3 years ago
Can someone explain this
horsena [70]

9514 1404 393

Answer:

  • resultant force: 93.946∠-10.62° N
  • line of action: 17.314x +92.337y = 809.433

Step-by-step explanation:

We can use the notation a∠b to represent the (x, y) components (a·cos(b), a·sin(b)), where angle b is measured CCW from the +x direction. If we label the forces a, b, c, d clockwise from A, then we have ...

  a = 80∠0° = (80, 0)

  b = 60∠90° = (0, 60)

  c = 90∠45° = (63.640, 63.640)

  d = 150∠-110° = (-51.303, -140.954)

__

If we label point A the origin, then the clockwise torque on point A is the sum of products of the force x-component and its y location, and its y-component and the negative of its x location.

  T = (0, 0)·(80, 0) +(3, 0)·(0, 60) +(3, -8)·(63.640, 63.640) +(0, -8)·(-51.303, -140.954)

  T = 809.433 . . . . n·m, the CW torque on point A

__

The sum of forces is ...

  F = a +b +c +d = (92.337, -17.314) = 93.946∠-10.62° . . . N

__

This force, applied to the point of application, must generate the same torque as the given forces. That is ...

  F·(y, -x) = 809.433

Then the equation of the line of action is ...

  17.314x +92.337y = 809.433 . . . . . x and y in meters measured from A

Any point (x, y) on this line will serve as a point of application of the force. Unfortunately, this line of action does not pass through the rectangular plate. The attachment shows the point (D) on the line of action that is closest to point A.

_____

<em>Additional comment</em>

The resultant force could be decomposed into two forces acting <em>on the rectangular plate</em>. One could be of much larger magnitude, operating at the corner opposite point A. This force would provide the necessary torque. Another would be acting on point A, providing no torque, but with components such that the resultant has the correct magnitude and direction.

6 0
3 years ago
A pump fills a pool at the rate of 20 cubic meters in an hour. If each cubic meter of water costs $10, how many minutes will the
fomenos

The first thing any good mathematician does is convert the measurements to the same unit as what the question is asking. In this problem, it states that the pool fills at a rate of 20 cubic meters per hour. Just keep in mind that an hour is 60 minutes.

The next step is to see how many cubic meters will cost $300. This can be done by dividing 300 by 10. This gets you 30 cubic meters of water.

You already know that 60 minutes is 20 cubic meters of water. That leaves the remaining 10 cubic meters of water. By dividing the rate given, you get that 30 minutes is 10 cubic meters of water. Add the 60 and 30 together to get 90 minutes.

It will take 90 minutes for the pump to use $300.

7 0
3 years ago
A force (F) applied to an object of mass m1 produces an acceleration of 3.00 m/s^2.
Lerok [7]
A) For object with mass m1,
F = m1 * 3
m1 = F/3

For object with mass m2,
F = m2 * 1
m2 = F

Ratio of m1/m2
(F/3) / F = 1/3
6 0
3 years ago
Read 2 more answers
If you need 192 beads to make a necklace and bracelet and it takes 5 times more beads to make necklace than bracelet. How many b
Rasek [7]
192 = total beads

necklace + bracelet = 192

Let x equal the number of beads 

bracelet = 5x
necklace = x

5x + x = 192 

6x = 192

x = 32

It takes 32 beads to make a necklace

3 0
3 years ago
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