<span>52 + 53 - 54 = 51
</span>None of them is the answer
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
Answer:
What does it say in english
Step-by-step explanation:
ill answer it in comments if you tell me what it says in english
Answer:
1. g. $0.10 per square inch
2. c. $0.08 per square inch
3. f. $10
4. m. $8
5. h. 79 in²
6. j. 113 in²
Step-by-step explanation:
1. A = πr²
r = diameter ÷ 2 = 10 ÷ 2 = 5
A = π(5)² = 25π in² ≈ 78.53981
$8.00/25π = $0.10 per square inch
2. A = πr²
r = diameter ÷ 2 = 12 ÷ 2 = 6
A = π(6)² = 36π in² ≈ 113.0973355
$10.00/36π = 0.088419 = $0.08 per square inch
3. information/answer was provided
4. information/answer was provided
5. A = πr²
r = diameter ÷ 2 = 10 ÷ 2 = 5
A = π(5)² = 25π in² ≈ 79 in²
6. A = πr²
r = diameter ÷ 2 = 12 ÷ 2 = 6
A = π(6)² = 36π in² ≈ 113 in²