Answer:
The modulus of the complex number 6-2i is:

Step-by-step explanation:
Given the number

We know that
where x and y are real and 
The modulus or absolute value of z is:

Therefore, the modulus of
will be:










Therefore, the modulus of the complex number 6-2i is:

Answer:
The Discount Percent is 57.50% and the Discount Amount is $31.05
Step-by-step explanation:
To find the discount percent you use the formula D = (L - S) / L x 100. To find the discount amount you take the <u>inital list price</u> and subtract it from the <u>sale price</u>.
The only 'small number' that I know that would affect the answer is an exponent that looks like ³ so the problem would be x³+x
remember that x³=x times x times x
if x=3 then
3³+3=27+3=30
Answer:
1 and a half hours < 100 mins
Step-by-step explanation:
1 and a half hours is equal to :
1 hour = 60 mins
half hour = 30 mins
60 + 30 = 90 mins
90 min is less than 100 mins
Therefore / ∴ :
1 and a half hours < 100 mins
Refer to the diagram shown below.
Given:
m∠A = 19°
c = 15
By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835
cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828
Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)