Find the area of the given shape

Mathematics

1 answer:

mel-nik [20]3 years ago

6 0

Answer:

Here are some formulas and some info to get you started:

Step-by-step explanation:

Parallelogram:

Area = Base · Height

Triangle:

Area = 1/2 · Base · Height

Know that the height is the vertical dotted line. Also know that the horizontal dotted line attached to the base is not actually part of the base.

If you need any more help let me know, and good luck!

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3 years ago

find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B

SashulF [63]

Answer:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

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Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

$a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10$