Answer:
volume= area×height /2
( it's like a half a cuboid)
area=6sq inc
Answer:
5..(b)
Step-by-step explanation:
Pythagoras theorem states that
Hypotenuse(squared)=opposite(squared)+ adjacent(squared)
hypotenuse=?,opposite=3,adjacent=4
hyp(squared)=3(squared)+4(squared)
hyp(squared)=9+16
hyp(squared)=25
find the square root of both sides
hypotenuse=5
Answer: < -4/5, 3/5>
This is equivalent to writing < -0.8, 0.6 >
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Explanation:
Draw an xy grid and plot the point (-4,3) on it. Draw a segment from the origin to this point. Then draw a vertical line until reaching the x axis. See the diagram below.
We have a right triangle with legs of 4 and 3. The hypotenuse is
through use of the pythagorean theorem.
We have a 3-4-5 right triangle.
Therefore, the vector is 5 units long. This is the magnitude of the vector.
Divide each component by the magnitude so that the resulting vector is a unit vector pointing in this same direction.
Therefore, we go from < -4, 3 > to < -4/5, 3/5 >
This is equivalent to < -0.8, 0.6 > since -4/5 = -0.8 and 3/5 = 0.6
Side note: Unit vectors are useful in computer graphics.