Probability is the likelihood or chance of an event occurring. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail).

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3 years ago

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What is 5.151515 to 2 decimal places

Citrus2011 [14]

Answer:

5.15

Step-by-step explanation:

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3 years ago

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The vertices of a quadrilateral in the coordinate plane are known.How can the perimeter of the figure be found?

Yuri [45]

Answer:

Find the length of sides. The sum of these sides is the perimeter of a quadrilateral

Step-by-step explanation:

A quadrilateral is a figure that has four sides. To find the perimeter of any quadrilateral, we find the sum of all four sides.

Given:

The co-ordinates of all vertices of a quadrilateral is known

To Find:

Perimeter of a quadrilateral

Steps:

1. Find the length of all sides using the straight line distance formula.

2. Add all the sides to find perimeter.

Let us take an example:

In figure the four co-ordinates are as follows:

A(1,3), B(4,2), C(3,0) and D(1,1)

Perimeter of quadrilateral ABCD= AB+BC+CD+DA

To find AB we use straight line distance formula, which is as follows:

AB = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$ where

$x_{1}= 1,x_{2}=4, y_{1}=3, y_{2}=2$

Substituting values we get,

AB= $\sqrt{(4-1)^2+(2-3)^2 }$

AB= $\sqrt{(3)^2+(-1)^2 }$

AB= $\sqrt{(9+1 }$

AB= $\sqrt{10}$

Similarly, we can find length of BC,CD and DA

BC= $\sqrt{5}$ ,CD= $\sqrt{5}$ ,DA=2

Then sum of these sides is perimeter of quadrilateral= $12+2\sqrt{5}$

Note: In this example, the perimeter cam out in roots, due to the values of co-ordinates taken. But the sum can also be a whole number.

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3 years ago