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pychu [463]
3 years ago
9

Lizz's dog is 10 1/2 years old pages dog is 18 months old how much older is lizzy's dog

Mathematics
1 answer:
Sloan [31]3 years ago
6 0

Answer:

9 years

Step-by-step explanation:

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For homework a student had to complete 15 problems total. If she finished 6 problems in class, what is the ratio of problems she
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Well if the student already finished 6 problems out of 15, there are 15-6 = 9 homework questions she still has to finish.

Still needs to complete: 9.

Already finished: 6

9 : 6.

Simplified: 3 : 2

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3 years ago
Find the vector projection of B onto A if A = 5i + 11j – 2k,B = 4i + 7k​
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Answer:

\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\

Step-by-step explanation:

Given A = 5i + 11j – 2k and B = 4i + 7k​, the vector projection of B unto a is expressed as proj_ab = \dfrac{b.a}{||a||^2} * a

b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)

note that i.i = j.j = k.k  =1

b.a = 5(4)+11(0)-2(7)

b.a = 20-14

b.a = 6

||a|| = √5²+11²+(-2)²

||a|| = √25+121+4

||a|| = √130

square both sides

||a||² = (√130)

||a||²  = 130

proj_ab = \dfrac{6}{130} * (5i+11j-2k)\\\\proj_ab = \frac{30}{130} i+\frac{11}{130} j-\frac{12}{130} k\\\\proj_ab = \frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\\\

<em>Hence the projection of b unto a is expressed as </em>\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\<em></em>

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