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3 years ago

6 divided by 938 long division

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

4 0

Answer: around 0.0064
i rounded it to the nearest hundred thousandth because the number will keep going on forever.

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6f = x

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3 years ago

The side of each of the equilateral triangles in the figure is twice the side of the central regular hexagon. What fraction of t

lana [24]

Answer:

The fraction is 1/4

Step-by-step explanation:

we know that

The area of an equilateral triangle, using the law of sines is equal to

$A=\frac{1}{2}x^{2}sin(60^o)$

$A=\frac{1}{2}x^{2}(\frac{\sqrt{3}}{2})$

$A=x^{2}\frac{\sqrt{3}}{4}$

where

x is the length side of the triangle

In this problem

Let

b ----> the length side of the regular hexagon

2b ---> the length side of the equilateral triangle

step 1

Find the area of the six triangles

Multiply the area of one triangle by 6

$A=6[x^{2}\frac{\sqrt{3}}{4}]$

$A=3x^{2}\frac{\sqrt{3}}{2}$

we have

$x=2b\ units$

substitute

$A=3(2b)^{2}\frac{\sqrt{3}}{2}\\\\A=6b^{2}\sqrt{3}\ units^2$

step 2

Find the area of the regular hexagon

Remember that, a regular hexagon can be divided into 6 equilateral triangles

The area of the regular hexagon is the same that the area of 6 equilateral triangles

$A=3x^{2}\frac{\sqrt{3}}{2}$

we have

$x=b\ in$

substitute

$A=3(b)^{2}\frac{\sqrt{3}}{2}$

step 3

To find out what fraction of the total area of the six triangles is the area of the hexagon, divide the area of the hexagon by the total area of the six triangles

$3(b)^{2}\frac{\sqrt{3}}{2}:6b^{2}\sqrt{3}=\frac{3}{2} :6=\frac{3}{12}=\frac{1}{4}$

3 0

3 years ago

Let f(x)=9−8x‾‾‾‾‾‾√ .Which of the following decompositions of f(x)=p(q(x)) into a pair of functions p(x) (the outside function)

zvonat [6]

Answer:

C, D and E

Step-by-step explanation:

Assuming

f(x) = √(9−8x)

and the options are:

A. p(x) = √(-8x) and q(x)=9+x

B. p(x) = √(9+x) and q(x)=8x

C. p(x) = √(-x) and q(x)=8x−9

D. p(x)=√(9−x) and q(x)=8x

E. p(x)=√x and q(x)=9−8x

F. p(x)=9−8x and q(x)=√x

G. All of the above

H. None of the above

Substituting in f(x)=p(q(x)) we get:

A. √(-8(9+x)) = √(-72 - 8x)

B. √(9+(8x)) = √(9+8x)

C. √(-(8x−9 )) = √(-8x + 9)

D. √(9−(8x)) = √(9−8x)

E. √(9−8x )

F. 9−8(√x ) = 9 - 8√x

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3 years ago

In a card game, the probability that you will have a hand with three of a kind is about 6%. The dealer wants to know the probabi

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Answer:

its not D :)

Step-by-step explanation:

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3 years ago

What is the percent equation for 46% of 127?

Brut [27]

Answer:

46% of 127 is 58.42

Step-by-step explanation:

46/100 = x/127

Cross multiply

46 × 127 = 100 × x

5,842 = 100x

Divide both sides by 100

58.42 = x

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3 years ago