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
<h2>
PART A</h2><h3>
5-Number-Summary:</h3>
Town A: 3, 4.5, 6, 9, 20
--------------------------
Minimum: 3
Quartile Q1: 4.5
Median: 6
Quartile Q3: 9
Maximum: 20
Town B: 3, 4, 6, 8.5, 9
---------------------------
Minimum: 3
Quartile Q1: 4
Median: 6
Quartile Q3: 8.5
Maximum: 9
---------------------------------------------------------------
<h3>
Interquartile Range:</h3>
(Median of each set)
6 <em>(town A)</em> - 6 <em>(town B)</em> = 0
<h2>
PART B:</h2>
Are they symmetric?
<em>No, I believe not,</em> they don't align center in the same way, according to the pictures I've attached. The one with a short box is Town A, the bigger box is Town B.
Answer:
DG = 17
Step-by-step explanation:
DG and EF are similar so sides are same.
2x - 7 = x + 5
2x - x = 5 + 7
x = 12
So DG = 2x - 7
= 2(12) - 7
= 24 - 7
= 17
Answer:
1) This is because some has their own shape and the commonly used loop is the clothoid loop, e.t.c.
2) This is because researchers found out that it helps ease the passage of the kidney stones.
Step-by-step explanation:
Hope it helps
Thanks.
Answer:
47 weeks
Step-by-step explanation:
you multiply 20 times 5 because he makes 5 dollars and hour and works 20 hours a week, so then you get 100. so he makes 100 dollars in a week. then you divide 100 by 4650 and get 46.5 which rounded up is 47. so he needs to work 47 weeks.
