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3 years ago

Unit rate of 357 miles In 6.3 hours

Mathematics

2 answers:

insens350 [35]3 years ago

3 0

56.67 miles per hour

nlexa [21]3 years ago

3 0

357m / 6.3hr = 56.666667

So the simplified answer will be: 56.6

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Which graph represents an exponential growth function?

mezya [45]

Answer:

The fourth graph shows and exponential growth function.

Step-by-step explanation:

The last graph shows the value increasing by a large amount.

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3 years ago

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Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.

lorasvet [3.4K]

Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

$PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ$

Likewise:

$\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ$

Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

$m\angle PAC=m\angle PAB+m\angle BAC$

Likewise:

$m\angle QAB=m\angle QAC+m\angle BAC$

Since ∠QAC ≅ ∠PAB:

$m\angle PAC=m\angle QAC+m\angle BAC$

And by substitution:

$m\angle PAC=m\angle QAB$

Thus:

$\angle PAC\cong \angle QAB$

Then by SAS Congruence:

$\Delta PAC\cong \Delta BAQ$

And by CPCTC:

$PC\cong BQ$

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3 years ago

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A typical sugar cube has an edge length of 1 cm. If you had a cubical box that contained a mole of sugar cubes, what would its e

Mrac [35]

The answer is 8 × 10² km.

Volume of the cube with edge a is: V = a³
1 mole = V = a³
1 mole = 6.02 × 10²³ cm³
a = ?

a = ∛6.02 × 10²³ cm³ = 84 436 877 cm
1 km = 1 000 000 cm
1 cm = 0.000001 km
a = 84 436 877 cm = 844 km = 8.44 × 100 km = 8.44 × 10² km ≈ 8 × 10² km

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3 years ago

The table below shows some values that satisfy a linear function.

Makovka662 [10]

Answer:

1.5

Step-by-step explanation:

Given the pair of points on the table.

Now the formula for slope, $m=\dfrac{y_2-y_1}{x_2-x_1}$