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3 years ago

100 POINTS PLEASEEEES HELP ASAP DUE TONIGHT.

Mathematics

2 answers:

scZoUnD [109]3 years ago

5 0

Answer:Possible lengths of third side of triangle

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Step-by-step explanation:

quester [9]3 years ago

3 0

Step-by-step explanation:

Area is maximum when

x = √136

I hope this helps =3

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If 2.5 mol of dust particles were laid end to end along the equator, how many times would they encircle the planet? The circumfe

Natalka [10]

Answer:

They encircle the planet $3.76\times 10^{11}$ times.

Step-by-step explanation:

Consider the provided information.

We have 2.5 mole of dust particles and the Avogadro's number is $6.022\times 10^{23}$

Thus, the number of dust particles is:

$2.5\times 6.022\times 10^{23}=15.055\times 10^{23}$

Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.

Convert the measurement in meters.

Diameter: $10\mu m\times \frac{10^{-6}m}{\mu m} =10^{-5}m$

If we line up the particles the distance they could cover is:

$15.055\times 10^{23}\times 10^{-5}=15.055\times 10^{18}=1.5055\times 10^{19}$

Circumference in meters:

$40,076km\times \frac{1000m}{1km}=40,076,000 m$

Therefore,

$\frac{1.5055\times 10^{19}}{40,076,000} = 3.76\times 10^{11}$

Hence, they encircle the planet $3.76\times 10^{11}$ times.

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3 years ago

Two integers, a and b, have a product of 24. What is the least possible sum of a and b?

rjkz [21]

The least possible sum is 10.

The pairs of factors for 24 are (1,24), (2,12), (3,8), (4,6) with sums 25, 14, 11, 10. So the numbers are 4 and 6.

6+4

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3 years ago

In how many distinct ways can the 11 letters in engineering be arranged

SVEN [57.7K]

The answer is >>> 4 989 600

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3 years ago

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oee [108]

Answer:

RESOLUTION

Step-by-step explanation:

Resolution is the smallest increment a tool can detect and display. For a nonelectrical example, consider two rulers.

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REY [17]

I think the answer is c

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