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Tomtit [17]
3 years ago
5

Two flat, circular plates are placed on a circular tabletop. The diameter of each plate is equal to the radius of the table top.

Approximately how many square feet of the table top are not covered by the plates? Show or explain your work. Use 3.14 for pi.

Mathematics
1 answer:
erastovalidia [21]3 years ago
6 0
A=pR^2-2pr^2, since R=15 and r=7.5

A=225p-112.5p

A=112.5p

A≈353.25 ft^2
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Round each number to the nearest hundred thousand 179,426 2
vladimir1956 [14]
200,000 thousand is the answer kid.
4 0
3 years ago
Two airplanes are flying in the air at the same height. Airplane A is flying east at 300mi/h and airplane B is flying north at 2
Ipatiy [6.2K]

Answer:

\frac{dAB}{dt}=340 mil/h

Step-by-step explanation:

The change of distance over time of the plain A is 300 mi/hour and 200 mi/hour for plane B. O is the point of the airport.

So, the distance from A to O AO = 90 miles and BO = 120 miles.

Now, we have a right triangle here.  We can use the Pythagorean theorem, so the distance between the planes will be:

AB^{2} =AO^{2}+BO^{2} (1)

AB =\sqrt{AO^{2}+BO^{2}}=

AB =\sqrt{90^{2}+120^{2}}=150 miles

If we take the derivative of the equation (1) we could find the change of the distance between planes.

2AB\frac{dAB}{dt}=2AO\frac{dAO}{dt}+2BO\frac{dBO}{dt}

2*150\frac{dAB}{dt}=2*90*300+2*120*200=102000 mil/h

\frac{dAB}{dt}=\frac{102000}{150*2}

Finally,

\frac{dAB}{dt}=340 mil/h

I hope it helps you!

6 0
3 years ago
Why is the slope of this graph?
Tom [10]

Answer:

1/2.

Step-by-step explanation:

There seem to be a couple prominent points on the line. We can use two of them to find the slope.

(0, 75)

(30, 90)

(90 - 75) / (30 - 0) = 15 / 30 = 3 / 6 = 1/2.

Hope this helps!

7 0
3 years ago
A line passes through a point (2,8) and has a slope of -5. Write an equation in point-slope form for this line.
vovangra [49]
8= -5(x-2) or -5x-y+18
8 0
3 years ago
If the average rate of change 10 is greater than the average rate of change of -12.5 explain why this is incorrect?
Scilla [17]

Answer:

Step-by-step explanation:

It's the <em>magnitude</em> of the average rate of change that's important here.

| -12.5 | is greater than | 10 |.  The negative sign tells us that the function is decreasing on the given interval.

4 0
3 years ago
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