A weather forecast predicts that for each day from Monday to Friday this week, there is a $40\%$ chance of sun, a $25\%$ chance
1 answer:
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We have been given two vectors and
, we are to find out the scalar and vector projection of
onto
we have and
The scalar projection ofonto
means the magnitude of the resolved component of
the direction of
and is given by
The scalar projection of onto
The Vector projection of onto
means the resolved component of
in the direction of
and is given by
The vector projection of onto
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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
