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djyliett [7]
3 years ago
10

How do you calculate the Monthly Share of Annual Expenses? What would they be if the annual expenses were $27,987? (Show Your Wo

rk)
Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

Answer:

$2332.25 per month

Step-by-step explanation:

1) The monthly share of annual expenses can be calculated from the annual expenses. Since there are 12 months in a year, the monthly share of annual expenses is gotten by dividing the annual expenses by the number of months in a year.

2) The monthly share of annual expenses is given by:

Monthly share of annual expenses = Annual expenses / 12 months

Monthly share of annual expenses = $27987 / 12 months = $2332.25 per month

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Two teams of movers are lowering a piano from the window of a 10 floor apartment building. The rope breaks when the piano is 30
GuDViN [60]

By solving the motion equations for the piano, we will see that they have 0.7 seconds to react.

<h3>How to find the motion equation for the piano.</h3>

So the piano is in a free fall from a height of 30m.

The motion equations will be given by:

  • The only force acting on the piano will be the gravitational one, thus the acceleration of the piano is the gravitational acceleration: a(t) = -9.8m/s^2 (Where the negative sign is because it is falling down).
  • To get the velocity we integrate over time, because the piano has no initial velocity, the constant of integration is zero: v(t) = (-9.8m/s^2)*t
  • To get the position equation we integrate again, here the initial position is 30 meters above the ground, so that will be our constant of integration: p(t) = (1/2)*(-9.8m/s^2)*t^2 + 30m

<h3>How long takes to fall?</h3>

We want to find the value of t such that the position is equal to zero, so we need to solve:

0 = (1/2)*(-9.8m/s^2)*t^2 + 30m

30m = (1/2)*(9.8m/s^2)*t^2

2*30m/(9.8m/s^2) = t^2

6.1 s^2 = t^2

√(6.1 s^2) = 2.5s = t

This means that the piano falls to the ground in 2.5 seconds.

But the workes notice it when the piano is 14 meters above the ground, it happens when:

p(t) = 14m =  (1/2)*(-9.8m/s^2)*t^2 + 30m

Solving that we get:

30m - 14m =  (1/2)*(9.8m/s^2)*t^2

2*16m/(9.8m/s^2) = t^2

3.27s^2 = t^2

√(3.27s^2) = t = 1.8s

So the piano falls in 2.5 seconds, and the works notice it 1.8 seconds after it starts falling, meaning that they have:

2.5 - 1.8 = 0.7 seconds to react.

If you want to learn more about motion equations, you can read:

brainly.com/question/2473092

4 0
2 years ago
A semi-circular garden has an area of 18pie m2 what is the perimeter of the garden
nataly862011 [7]

Answer:

6\pi

Step-by-step explanation:

We know that the area of a circle is equal to \pir^{2}.

A semi-circle is a half-circle, meaning that it will have half of the area of a full circle.

Therefore, a semi-circle's area is equivalent to \frac{\pi r^{2} }{2}.

Set this equation equal to 18\pi.

Solve for r.

We then find that r = 6.

Now, we need to find the circumference. We know that the equation for the circumference of a circle is 2\pir. Since we only need the perimeter of half of a circle, our circumference equation will equal \pir.

Plug 6 in for r.

The perimeter of the garden is equal to 6\pi.

7 0
2 years ago
This figure has rotational symmetry. What is true about the figure?
zhuklara [117]

Answer:

It looks the same if it rotated 120°

Step-by-step explanation:

3 0
3 years ago
How could you use the midpoint formula to find a point located 1/4 the distance between two endpoints
Serjik [45]
The Midpoint Formula works exactly the same way. If you need to find the point that is exactly halfway between two given points, just average the x-values and the y-values.

Hope this helps:)
8 0
3 years ago
Read 2 more answers
100 POINTS
Fantom [35]

Answer:

volume of the prism is \frac{1}{3}in³

Step-by-step explanation:

volume of a cube with side length of \frac{1}{6}:

(\frac{1}{6}in)³ = \frac{1}{216}in³

multiply this area by the amount of cubes:

12 × 3 × 2 = 72 cubes

\frac{1}{216}in³ × 72 = \frac{72}{216} = \frac{1}{3}in³

volume of the prism is \frac{1}{3}in³

3 0
3 years ago
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