Answer:
Step-by-step explanation:
Suppose x and y are nonzero vectors in an inner product space.
Let us assume that x and y are orthogonal
i.e. innter product is 0.
This implies dot product of x and y is 0
Then x.y =0
i.e.
Proved
Converse part:
Let
Square also would be equal
Hence inner product of x and y is 0
Tony because he spent $19 while Mario spent $18. To explain, you would multiply 3 by $4 because Tony bought 3 of the $4 packs of pencils. Therefore, he would have spent $12. In addition, add $7 to $12, you get $19. On the other hand, Mario bout 4 of the $6 binders. That would mean he spent $24 on binders However, he had a $6 coupon which means he can take $6 off the total price of $24. That would mean subtracting $6 from $24. That would get Mario $18
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Explanation:
In one minute, Diego can type 35 words;140÷4
At this rate, it will take him 11 minutes to type 385 words;385÷35
Therefore, he can type 525 words in 15 minutes; 35×15
In this problem, we have the following variables:
e: The weekly earnings of a salesperson
s: sales in a given week
A salesperson earns $200 a week plus a 4% commission on her sales, that is, she earns:
<em>$200 plus 0.04 of her sales in a given week</em>
In a mathematical model, this is given by:
e = 200 + 0.04s
Answer:
See below in bold.
Its the second choice.
Step-by-step explanation:
The sides b and d are the legs of a 30-60-90 triangle so the sides are in the ratio 2 : 1 :√3 where 2 = the hypotenuse.
Here the hypotenuse = 10. Therefore:
10 = 2*5, so d = 1/2 * 10 and b = √3*5.
d = 5 , b = 5√3.
Now a , b and c are also the sides of a 30-60-90 triangle and we know that b = 5√3.
So a ( the hypotenuse = 2 * 5√3 = 10√3.
and c ( the longest leg) = 5√3 * √3 = 15.