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Tems11 [23]
3 years ago
9

Question 1: Find the distance between the points (1, 4) and (5, 1).

Mathematics
2 answers:
Anit [1.1K]3 years ago
6 0

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(5-1)^2+(1-4)^2}\implies d=\sqrt{4^2+(-3)^2} \\\\\\ d=\sqrt{16+9}\implies d=\sqrt{25}\implies d=5

Xelga [282]3 years ago
4 0

Answer: second option.

Step-by-step explanation:

You need to use the formula for calculate the distance between two points. This is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Given the point (1, 4) and the point (5, 1), you can say that:

x_2=5\\x_1=1\\y_2=1\\y_1=4

Now you must substitute these values into the formula.

The distance between the points (1, 4) and (5, 1) is the following:

d=\sqrt{(5-1)^2+(1-4)^2}\\\\d=5

This matches with the second option.

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24 is 25% of what number
mel-nik [20]
Let x be the mystery number
25% = 0.25

So, 24/x = 0.25 
Now, we have to rearrange the equation to get:
x = 24/0.25 = 96

Don't hesitate to ask any further questions!
Hope I helped! xx
4 0
2 years ago
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AnnZ [28]

Answer:

The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.

Step-by-step explanation:

The area of a sector for a radius r and an angle θ is given as

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Now the ratio is given as

\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}

Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to

\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }

Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.

6 0
3 years ago
The students in a class were each asked to name their favorite meal of the day. Which table could be represented by percentage b
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Answer:

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There are 640 kilocalories in the 2 cups of dog food. :)
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Hope this helped!
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