Help!!! and in terms of pi!! please

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

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If the simple interest on 6000 for 3 years is 1,620 then what is the insterest rate

fomenos

Answer:

Step-by-step explanation:

Gather information like your principal loan amount, interest rate and total number of months or years that you'll be paying the loan.

Calculate your total interest by using this formula: Principal Loan Amount x Interest Rate x Time (aka Number of Years in Term) = Interest.

3 0

3 years ago

Write the point slope and slope intercept form of the line that goes through the points (-3,5) and (-2,6).

Andreas93 [3]

Answer:

Step-by-step explanation:

$slope=\frac{6-5}{-2+3} =\frac{1}{1} =1\\$

eq. of line is y-5=1(x+3)

y=x+3+5

y=x+8

6 0

4 years ago

Use Cavalieri’s Principle to calculate the exact volume of an oblique cylinder with a height of 10 meters and a circular base wi

nirvana33 [79]

Answer: Volume of an oblique cylinder is 2011.43 sq.m.

Step-by-step explanation:

Since we have given that

Radius of a cylinder = 8 meters

Height of a cylinder = 10 meters

Cavelieri's Principle states that volume of an oblique cylinder is same as the volume of right circular cylinder with equal radius and height.

As we know the formula for "Volume of cylinder":

$Volume=\pi r^2h\\\\V=\frac{22}{7}\times 8\times 8\times10\\\\V=\frac{14080}{7}\\\\V=2011.43$

Hence, Volume of an oblique cylinder is 2011.43 sq.m.

7 0

3 years ago

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IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!

Anarel [89]

Hey there!

Let's take the number of cows in the field as 'c'.

Then, the number of horses in the field is = c + 2 [2 <em>more</em> horses than cows]

Total number of animals on the field = 16.

So, equation becomes...

c + c + 2 = 16

<u>2c + 2 = 16</u>

Hope it helps ya!

7 0

3 years ago