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2 years ago

1/5r+ 8/15 when r=1/3

Mathematics

1 answer:

ZanzabumX [31]2 years ago

5 0

Answer:

3/5

Step-by-step explanation:

1/5r + 8/15

~Substitute

1/5(1/3) + 8/15

~Simplify

1/15 + 8/15

~Add

9/15

~Simplify

3/5

Best of Luck!

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Ann [662]

First we are going to draw the triangle using the given coordinates.
Next, we are going to use the distance formula to find the sides of our triangle.
Distance formula: $d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Distance from point A to point B:
$d_{AB}= \sqrt{[6-(-9)]^2+(10-5)^2}$
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Distance from point A to point C:
$d_{AC}= \sqrt{[2-(-9)]^2+(-10-5)^2}$
$d_{AC}= \sqrt{(2+9)^2+(-10-5)^2}$
$d_{AC}= \sqrt{11^2+(-15)^2}$
$d_{AC}= \sqrt{121+225}$
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Distance from point B from point C
$d_{BC}= \sqrt{(2-6)^2+(-10-10)^2}$
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Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
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Finally, to find the area of our triangle, we are going to use Heron's formula:
$A= \sqrt{s(s-AB)(s-AC)(s-BC)}$
$A=\sqrt{27.41(27.41-15.81)(27.41-18.60)(27.41-20.40)}$
$A= \sqrt{27.41(11.6)(8.81)(7.01)}$
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We can conclude that the perimeter of our triangle is 140.13 square units.

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2 years ago

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