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matrenka [14]
3 years ago
10

Prove your answer as to why 5 mm, 10 mm, and 1 mm will or will not form a triangle.

Mathematics
1 answer:
andriy [413]3 years ago
7 0
Because you can’t multiply 5x10 to get 1
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Tanisha cut a triangle with angles of 62°, 30°, and 88° in three pieces so that each piece had one angle of the triangle. She ar
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3 years ago
If f = 350i - 250j - 450k6 n and cable ab is 9 m long, determine the x, y, z coordinates of point a
ycow [4]
<span> we know the length of the cable is 9m.
That means the magnitude of  </span><span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span><span> divided by the magnitude.

</span>u=<span>(<span>​​<span>​x/9</span><span>​​</span></span>i−<span>​y/9<span>​​</span></span>j−<span>​z/9<span>​​</span></span>k<span>)

</span></span><span>We can also figure out the unit vector of F. 
</span>u=​(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.

Therefore
</span>(​​​x/9​​i−​y/9​​j−​z/9​​k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m

The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
6 0
3 years ago
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