Answer:
36 inches
Step-by-step explanation:
add all sides by 9
Slope is -3/4
20 characters
Answer:
Yes it is because it's terminating.
Step-by-step explanation:
Answer:
506
Step-by-step explanation:
Given that :
Number students admitted in 2017 = 207
Number of students admitted in 2018 = 299
To obtain the number of students admitted in both years, we use the addition operator as it is an addition problem. It requires the sum of students admitted both in 2017 and 2018
Number students admitted in 2017 + Number students admitted in 2018
207 + 299 = 506
506 students were admitted in total in both 2017 and 2018
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
