Answer:
p = (2k + 1)i + j
q = 25i + (k + 4)j
p . q = 11
Find the dot product of p and q
(2k + 1)(25) + (k + 4) = 11
50k + 25 + k + 4 = 11
51k = -18
k = - 18/51 = –6/17.✅
b) p.q = |p||q|cos∅
p= (2k + 1)i + j = [2(-6/17) + 1)i + j ]= 5/17i + j
|p| = √ (5/17)² + 1²
|p| = √314/ 17 ( The square root doesn't cover the 17) = 1.0424
q = 25i + (k + 4)j = 25i + ( -6/17 + 4)j
q = 25i + 62/17 j
|q| = √ 25² + (62/17)²
= 25.2646
Now applying them to the formula above
We already have p.q = 11 from the question.
11 = (1.0424)(25.2646)Cos∅
11 = 26.3358Cos∅
Cos∅ = 11/26.3358
Cos∅ = 0.4177
∅ = 65.31°.
This should be it.
Hope it helps
Answer:
5
Step-by-step explanation:
Because, If you do it step by step you will get your answer.
Since there were no situation given, I can only provide you with some guidance so you can select the correct answer.
If the probability is 1/3, that means that one out of every three options will need to be blue.
If it is a bag of marbles, you could have 1 blue marble out of a total of 3 marbles. Or any other fraction that reduces to one third.
Here are some examples:
2/6 3/9 4/12 5/15 6/18 7/21 8/24 .....
Answer:
The answer would be 36.
Step-by-step explanation:
3x3x9 is 36ft.
Answer:
No, the answer is not reasonable. It should be about 1 foot
Step-by-step explanation:
we know that
The correct dimensions are
Gina had two pieces of ribbon. One was 5/8 foot long and the other was 1/4 foot long
so
Sum the length of both pieces


therefore
No, the answer is not reasonable. It should be about 1 foot