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3 years ago

What is a gcf for 40 and 48

Mathematics

2 answers:

Arlecino [84]3 years ago

6 0

The greatest common factor is 8

nika2105 [10]3 years ago

6 0

8 is the greatest common factor

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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

What is 4664 ➗ by 94

PilotLPTM [1.2K]

49.617 ( alternative form )

6 0

4 years ago

If 6^4x = 82, what is the value of x?<br> Round your answer to three places.

neonofarm [45]

Answer:

$x=0.61485921$

Step-by-step explanation:

The given equation is in exponential form:

$6^{4x} =82$

To find $x$ we need to write it in logarithmic form:

$b^{a} =n$ ⇒ $log_{b} n=a$

$6^{4x} =82$ ⇒ $log_{ 6 } 82=4x$

$2.45943684 = 4x$

$\frac{2.45943684}{4} = x$

$0.61485921 =x$

To prove this, we can substitute the value into the given equation

$6^{4x} =82$

$6^{4(0.61485921)} =82$

$82=82$

Therefore, the answer is $x=0.61485921$

6 0

3 years ago

Use the value of the discriminant to determine the type of roots for x²-3x+1=0

nignag [31]

Hi,

Δ = 9 - 4 * 1 * 1 = 5

the roots are :

x1 = (3 - √5) / 2

x2 = (3 + √5) / 2

7 0

3 years ago

Which set of numbers forms a right triangle?

Tanzania [10]

Answer:

Step-by-step explanation:

If you think about it hard enough, and look at it real hard, you can see. Think of like a capital L. 7 tall and 7 wide. I'm not sure but thats what I think.

5 0

3 years ago