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umka21 [38]
3 years ago
12

Help needed asap !!!!!!

Mathematics
1 answer:
Zinaida [17]3 years ago
7 0

Answer:

b)0, yes

Step-by-step explanation:

Given:

Vectors (4,8) . (6,-3)

Finding inner product of vectors:

= 4x6 + 8x-3

=24-24

=0

Now to check the angle between them using formula a.b=|a|.|b|cosθ

|a|= \sqrt{4^{2} +8^{2} } \\\sqrt{16+64}

   =8.9

|b|=\sqrt{6^{2} +(-3)^{2} } \\\sqrt{36+9}

   =6.7

Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,

0= 8.9(6.7)cosθ

cosθ =0

θ=90 degrees

Hence the two vectors are perpendicular !

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Step-by-step explanation:

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Ostrovityanka [42]

Answer:

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They are 1. Appetizer Chicken strips, 2. Shrimp cocktail, 3. Buffalo wings, 4. Potato skins, 5. Salad Garden, 6. Caesar Entree T-bone steak, 7. Pot roast, 8. Lamb Side dish Corn, 9. Rice, 10. French fries, 11. Baked potato, 12. Pinto beans, 13. Dessert Chocolate cake, 14. Brownies, 15. Ice cream, 16. Apple pie

This is a combination problem requiring a combination solution with the following formula and steps:

C (n, r) =? C (n, r) = ?

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r (sample) =  5

C (n, r) =? C (n, r) = ?

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The sum of the sequence of 685+678+671+664+...+6
lukranit [14]

Answer:

Sum of the sequence (Sn) = 33,859

Step-by-step explanation:

Given:

Sequence = 685+678+671+664+...+6

Find:

Sum of the sequence (Sn)

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a = 685

d = 678 - 985 = -7

an = 6

an = a+(n-1)d

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97 = n-1

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So,

Sum of the sequence (Sn) = (n/2)[a+an]

Sum of the sequence (Sn) = (98/2)[685+6]

Sum of the sequence (Sn) = (49)(691)

Sum of the sequence (Sn) = 33,859

3 0
3 years ago
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