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2 years ago

SQUARE ROOT RELATED - Please show work and/or explanation What is the square root of 180

Mathematics

1 answer:

Phantasy [73]2 years ago

5 0

Answer:

6 $\sqrt{5}$ or approximately 13.416407865

Step-by-step explanation:

List all of the factors of 180.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Find the perfect squares from the list such as:

1, 4, 9 and 36

Choose the biggest one and divide 180 by it.

180 / 36 = 5

Calculate the square root of your square number

$\sqrt{36}$ =6

Your answer is 5 $\sqrt{6}$ (in its simplest radical form)

If you wanted to calculate the answer as a decimal, 5 x $\sqrt{6}$ = approximately 13.416407865

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Answer:

C. 31 units

Step-by-step explanation:

Circumference of a circle is the distance around the circle and is given by C = pi•d

Your circle with a point and center given has a radius of 5 because from (2,1) to (7,1) is 5 units. Radius 5 means the diameter is 10.

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Step-by-step explanation:

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3 years ago

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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2 years ago

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Iteru [2.4K]

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Step-by-step explanation:

40 degrees, then 40/360

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