Answer:
162°
Step-by-step explanation:
a circle has 360°, or the angle of a whole circle is that
so 45% of 360 =
0.45 times 360 = 162
Solving the complex number, we get the value of the missing value that is ‘a’ = -6
We have been given the expression as
|a – i| = √37 (1)
Which is an expression of complex number. The general expression of complex number is given as
z = x + iy
where x is the real part and iy is the imaginary part
To find the modulus value, the formula is given by,
|z| = |x + iy|
|z| = √[(real part)2 + (imaginary part)2]
|z| = √(x2 + y2)
According to the question, |z| = √37 (2)
Equating equation (1) and (2), we get
√(a2 + 1) = √37
(a2 + 1) = 37
a2 = 37 – 1
a2 = 36
a = √36
a = ±6
Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.
Hence the value will be negative. Therefore, the missing value will be -6.
Learn more about complex number here : brainly.com/question/5564133
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Answer:
Step-by-step explanation:
This answer is easily found using the Pythagorean Theorem:
where A and B are the legs, and C is the hypotenuse of the triangle.
Answer:
Jennifer's speed is 2.4 miles/hour
Kamlee's speed is 2 miles/hour
Step-by-step explanation:
To find their speed,
Speed can be determined from the formula below,
Also, to determine the speed in miles per hour (miles/hour), we will convert the time spent by each of them to hour (NOTE: 60 minutes = 1 hour)
For Jennifer,
Distance = 4/5 miles
Time = 20 mins (Convert to hour)
∴Time = (20/60) hour = 1/3 hour
Hence,
Hence, Jennifer's speed is 2.4 miles/hour
For Kamlee,
Distance = 5/6 miles
Time = 25 minutes (Convert to hour)
Time = (25/60) hour = 5/12 hour
Hence,
Hence, Kamlee's speed is 2 miles/hour
Answer:
20
Step-by-step explanation:
The question states that the sample size is 16 and standard deviation of sampling distribution of sample mean also known as standard error is 5. This information can be written as
σxbar=standard error=5 ,n=sample size=16.
We have to find population standard deviation σ.
We know that
<em>Population standard deviation=</em>σ=4*5=20