You can apply the Pythagorean theorem:
a^2 + b^2 = c^2
c is the longest side of the triangle
2.2^2 + 4.2^2 = 6.7^2
4.84 + 17.64 = 44.89
22.48 =/= 44.89
That is not a right triangle
Answer:
and 
in interval notation.
Step-by-step explanation:
We have been given a compound inequality 
. We are supposed to find the solution of our given inequality.
First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.
Dividing by negative number, flip the inequality sign:
Dividing by negative number, flip the inequality sign:
Upon merging both intervals, we will get:
Therefore, the solution for our given inequality would be and in interval notation.
Answer:
Null hypothesis = H0 : μ = 60
Alternative hypothesis = H1 : μ < 60
Step-by-step explanation:
From the question given :
μ = 60 minutes
xbar = 44.27 minutes
s = 20.4 minutes
The alternative hypothesis is the claim ; which is to hypothesize that the average studying time is 44.27 (which is less than the population average studying time)
The null hypothesis is the initial truth and it is the opposite of the alternative hypothesis.
The hypothesis are :
H0 : μ = 60
H1 : μ < 60
The velocity of the ship = 22 ∠157° = (22 cos 157°) i+ (22 sin 157°) j
The velocity of current = 5 ∠213° = (5 cos 213°) i+ (5 sin 213°) j
So, the resultant velocity = 22 ∠157° + 5 ∠213°
= (22 cos 157°) i+ (22 sin 157°) j + (5 cos 213°) i+ (5 sin 213°) j
= (22 cos 157° + 5 cos 213°) i + (22 sin 157° + 5 sin 213°) j
= -24.444 i + 5.873 j
= 25.14 ∠166.5°
The correct answer is option (1)
<span>1) 25 knots at 166.5 degree</span>
