Answer:
where's the question...?
Step-by-step explanation:
Basically each part of the first complex number gets multiplied by each part of the second complex number. You are multiplying 2 binomials.
(15 + 56i(7 + 4i)
= 105 + 60i + 392i + 224i^2
= 105 + 452i - 224 ( because i^2 = -1)
= - 119 + 452i
Answer: 0.1499
Step-by-step explanation:
Given : The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with mean
Standard deviation :
z-score :
For X = 11.5
For X = 11.6
Now, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces will be :-
Hence, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces =0.1499
Answer:
or 
Step-by-step explanation:
we know that
Applying the law of cosines

In this problem we have

c is the length of the third side
Substitute




or 
Answer:
≈ 39.7ft
Step-by-step explanation:
The Pythagorean theorem:

(a and b are the two shorter legs and c is the largest leg, which is also the opposite side of the right angle)
First, the value of a and c is given. So, we can go ahead and plug those value in and then solve for b.


To find b, we have to get it by itself. So we subtract 2025 from both sides then square root both sides. Resulting in:

≈ 39.7ft