Plot a point on the coordinate plane to represent each of the ratio values in the table. Time (h) Distance (km) able displaying
Time in hours in one column and Distance in kilometers in the other. The time column contains 1, 3, 6, and 9. The distance column contains 2, 6, 12, and 18.
1 answer:
Answer:
Refer the attached graph.
Step-by-step explanation:
Given : Time (h) Distance (km) able displaying Time in hours in one column and Distance in kilometers in the other. The time column contains 1, 3, 6, and 9. The distance column contains 2, 6, 12, and 18.
To plot : The points on the coordinate plane.
Solution :
Time is independent variable so it is taken on x-axis.
Distance is taken on y-axis.
x y
1 2
3 6
6 12
9 18
When we plot these points in the coordinate plane, we get a linear equation.
The linear equation form is
Refer the attached graph.
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There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.
Answer:
Radius = OB= 27 cm
Apothem = 13.5 cm
A diagram is attached for reference.
Step-by-step explanation:
Given,
The perimeter of equilateral triangle ABC is 81/√3 centimeters.
Substituting this in the formula of perimeter of equilateral triangle =
Thus from the diagram , Side
We know each angle of an equilateral triangle is 60°.
From the diagram, OB is an angle bisector.
Thus °
Apothem is the line segment from the mid point of any side to the center the equilateral triangle.
Therefore considering ΔOBE, and applying tan function.
Thus ,apothem OE= 13.5 cm
Now for radius,
We consider ΔOBE
Thus for
Perimeter of equilateral triangle ABC is 81/√3 centimeters,
The radius of equilateral triangle ABC is 27 cm
The apothem of equilateral triangle ABC is 13.5 cm
