Divide. Write each quotient in simplest form. Please help I can't figure this out.

Mathematics

1 answer:

Vladimir79 [104]2 years ago

8 0

Answer: 1st-0.21428571428

2nd-0.6

Step-by-step explanation:

Calculator :D

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iogann1982 [59]

Area parlalelogram=base times height
areatrapizod=(1/2)(base1+base2) times height
areatriangle=1/2 times base times height

1. area=(1/2)(5.9+16.3) times 4.6=51.06
first option

2. area=1/2 times 20.3 times 6.2=62.93
2nd option

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The points A BC :(2, 2,1), :(1,1,3), :(2,0,5) − are the vertices of a right triangle. The radius of the sphere with center at th

ElenaW [278]

Answer:

r=1

Step-by-step explanation:

First we need to know the length of each side of the triangle, so we use the formula of the vector modulus:

$|AB|= \sqrt{(b_{1}-a_{1})^{2}+(b_{2}-a_{2})^{2}+(b_{3}-a_{3})^{2}$

By doing so, we find:

$|AB|=\sqrt {6}\\|BC|=\sqrt {6}\\|AC|=2\sqrt {5}$

With this we know that the triangle is not right, but, we assume the longest side as the hypotenuse of the problem.

As we have two equal sides, we know that the line between point |AB| and the center of the hypotenuse is perpendicular, therefore, we can calculate it using Pythagoras theorem:

$|BC|^{2}=r^{2}+(\frac{|AC|}{2})^{2}\\\\r^{2}=|BC|^{2}-(\frac{|AC|}{2})^{2}\\\\r^{2}=(\sqrt{6})^{2}- (\frac{2\sqrt{5}}{2})^{2}\\\\r^{2}=6-5=1\\r=1$

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