Answer: a) √50
b) n = 1 + 7i
Step-by-step explanation:
first, the modulus of a complex number z = a + bi is
IzI = √(a^2 + b^2)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nI = 3√10
Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10
= √(a^2 + b^2 + 40) = 3√10
a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90
a^2 + b^2 = 90 - 40 = 50
√(a^2 + b^2 ) = InI = √50
The modulus of n must be equal to the square root of 50.
now we can find any values a and b such a^2 + b^2 = 50.
for example, a = 1 and b = 7
1^2 + 7^2 = 1 + 49 = 50
Then a possible value for n is:
n = 1 + 7i
V=1/3(pi)(r)^2(h)
V=1/3(pi)(9)^2(15)
V=1/3(3.14)(81)(15)
Then multiply all numbers in parentheses:
3815.1/3=1271.7 cm^3
Hope this Helps!
Answer:
The distance from sea level in mm is 0.5494 mm.
Step-by-step explanation:
Consider the provided information.
It is given that Our scale is that 100 mm on the map is equal to 6371 km in Earth.
This can be written as:
100 mm = 6371 km
Divide both the sides by 6371.
100/6371 mm = 1 km
We need to find the distance from sea level in mm, if the distance is 35 km.
Multiply both sides by 35.
100/6371 × 35 mm = 1 × 35 km
0.5494 mm = 35 km
Hence, the distance from sea level in mm is 0.5494 mm.
15 round by the nearest 10 is 20.
Answer:
7
Step-by-step explanation:
1. Do 49÷7 to get the average of 7
