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nignag [31]
4 years ago
7

7√6 x √27 is equal to

Mathematics
1 answer:
mr Goodwill [35]4 years ago
3 0

Answer:

63\sqrt{2}

Step-by-step explanation:

7\sqrt{6}* \sqrt{27} \\=7\sqrt2\sqrt{3} * \sqrt{9} \sqrt{3}\\ =7\sqrt{2}\sqrt{3} *3\sqrt{3}\\  =\sqrt{2} *3*3*7\\=63\sqrt{2}

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Triangle MNO is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. Triangle M N O is an equilateral tria
Lesechka [4]

Answer:

The correct option is second one i.e 24 units.

Therefore the height of the triangle is

NR=24\ units

Step-by-step explanation:

Given:

An equilateral triangle has all sides equal.

ΔMNO is an Equilateral Triangle with sides measuring,

NM = MO = ON =16\sqrt{3}

NR is perpendicular bisector to MO such that

MR=RO=\dfrac{MO}{2}=\dfrac{16\sqrt{3}}{2}=8\sqrt{3} .NR ⊥ Bisector.

To Find:

Height of the triangle = NR = ?

Solution :

Now we have a right angled triangle NRM at ∠R =90°,

So by applying Pythagoras theorem we get

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the values we get

(MN)^{2} = (MR)^{2}+(NR)^{2}\\\\(16\sqrt{3})^{2}=(8\sqrt{3})^{2}+(NR)^{2}\\\\(NR)^{2}=768-192=576\\Square\ rooting\ we\ get\\NR=\sqrt{576}=24\ units

Therefore the height of the triangle is

NR=24\ units

6 0
3 years ago
Read 2 more answers
Two angles form a linear pair. The measure of one angle is twice the measure of the other angle. Find the measure of each angle.
Flauer [41]

Answer:

The smaller angle measures = 60º

The larger angle measures = 120º

Step-by-step explanation:

The sum of angles in linear pair is 180

The measure of one angle is twice the measure of the other angle.

x + 2x = 180

Combine like terms

3x = 180

Divide both sides by 3

x = 60º

2x = 120º

6 0
3 years ago
50 POINTS, HELP
vazorg [7]

Answer:

a(n) = -351+8(n-1)

Step-by-step explanation:

This is an arithmetic sequence.  Each new term is equal to the sum of the previous term and 8.

The expression you want is   a(n) = -351+8(n-1)

8 0
4 years ago
Read 2 more answers
Please help me.................................................
Mumz [18]

Answer:

dude. why are you asking me?

Step-by-step explanation:

yuh.

4 0
3 years ago
A cube has a volume of 64. What is the length of one side of the cube?
bearhunter [10]

Answer:

4

Step-by-step explanation:

The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.

What's a cube root?

  • The cube root of a number is the number you multiply by itself 3 times to get another number.
  • One common cube is 27, and the cube root of it is 3 because 3 x 3 x 3 = 27.

Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.

  • 1: 1 x 1 x 1 = 1.
  • 2: 2 x 2 x 2 = 8.
  • 3: 3 x 3 x 3 = 27.
  • 4: 4 x 4 x 4 = 64. (This is the cube root!)

We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0
3 years ago
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