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Hitman42 [59]
3 years ago
13

Identify the model that shows 2 items being divided equally among 3 people. How much will each person have?

Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0

Answer:

2/3 or 6/9

Step-by-step explanation:

You might be interested in
What is 2,001÷83 pls help i need to check my answer
Nina [5.8K]

Answer:

24.11

Step-by-step explanation:

2001 ÷ 83

83×2= 166

200-166=34 bring down the 1

341 ÷ 83

83×4= 332

341-332=9 add a decimal and bring down a 0

90÷83

90-83=7 bring down another 0

70÷83=0 brind down another 0 since 70 cannot be divided by 83 and have a whole number

700÷83

83×8=664

700-664=36

right now you have 24.108

round to the nearest tenth

24.11

7 0
3 years ago
Where should the point P be chosen on line segment AB so as to maximize the angle θ? (Assume a = 4 units, b = 5 units, and c = 9
taurus [48]
From the figure, let the distance of point P from point A on line segment AB be x and let the angle opposite side a be M and the angle opposite side c be N.

Using pythagoras theorem,
\tan M= \frac{a}{b-x} \\ \\ M=\tan^{-1}\left(\frac{a}{b-x}\right)
and
\tan N= \frac{c}{x} \\ \\ N=\tan^{-1}\left(\frac{c}{x}\right)

Angle θ is given by
\theta=180-M-N \\  \\ =180-\tan^{-1}\left(\frac{a}{b-x}\right)-\tan^{-1}\left(\frac{c}{x}\right)

Given that a = 4 units, b = 5 units, and c = 9 units, thus
\theta=180-\tan^{-1}\left(\frac{4}{5-x}\right)-\tan^{-1}\left(\frac{9}{x}\right)

To maximixe angle θ, the differentiation of <span>θ with respect to x must be equal to zero.
i.e.
\frac{d\theta}{dx} = -\frac{4}{x^2-10x+41} + \frac{9}{x^2+81} =0 \\  \\ -4(x^2+81)+9(x^2-10x+41)=0 \\  \\ -4x^2-324+9x^2-90x+369=0 \\  \\ 5x^2-90x+45=0 \\  \\ x^2-18x+9=0 \\  \\ x=9\pm6 \sqrt{2}

Given that x is a point on line segment AB, this means that x is a positive number less than 5.

Thus
x=9-6 \sqrt{2}=0.5147

Therefore, The distance from A of point P, so that </span>angle θ is maximum is 0.51 to two decimal places.
6 0
3 years ago
What is 0.14 divided 0.91
Nimfa-mama [501]
The answer is 0.1538461538 but you round it to the nearest tenth that gives you 0.2
3 0
3 years ago
The big desk in your boss's office is 75 inches long. How long is that in feet?
erma4kov [3.2K]
The answer is 6 feet 3 inches
7 0
3 years ago
Read 2 more answers
The perimeter of a basketball court is 278ft. The length is 41ft longer than the width. Find the dimensions of the court.
inysia [295]
Since Perimeter is Length+ Width, and there are "two lengths" and "two widths", the formula needed here is p=2l+2w. We have the P, so using that, along with knowing that l is 41ft longer than w;
p = 278 , l = w+41
278 = 2l + 2w

278 = 2(w+41) + 2w

We'll use the DISTRIBUTIVE PROPERTY first: 278 = 2w + 82 + 2w

Then we'll COMBINE LIKE TERMS: 278 = 4w + 82

Next we'll subtract 82 from both sides: 196 = 4w

And finally divide both sides by 4:
49 = w

Since the length is w+41 and we now know the width, we can see what the length is: l = w+41 , l = 49 + 41 , l = 90.

Now that we know the length, we can see what the dimensions of the court are:
Perimeter is 278ft
Width is 49ft
And the Length is 90ft.
7 0
3 years ago
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