Answer:
D
Step-by-step explanation:
6% of 40 is 2.4, 40.00+ 2.40=42.40
The number of hours he worked in all (written in fraction form) is 
From the question,
Mario worked from 8:25 to 12:45 yesterday.
From 8:25 to 12:45 gives 4 hours 20 minutes
Also, from the question,
Today he will work from 11:20 to 3:10
From 11:20 to 3:10 gives 3 hours 50 minutes
To determine the number of hours he work in all, we will add the time spent working on the previous day to that of the current day. That is,
4 hours 20 minutes + 3 hours 50 minutes = 8 hours 10 minutes
Now, to put the answer in fraction form, we will convert 10 minutes to hours
NOTE: 60 minutes = 1 hour
∴ 10 minutes =
= 
∴ 8 hours 10 minutes = 
Hence, the number of hours he worked in all (written in fraction form) is 
Learn more here: brainly.com/question/3164396
Answer:
The complex number in the form of a + b i is 3/2 + i √3/2
Step-by-step explanation:
* Lets revise the complex number in Cartesian form and polar form
- The complex number in the Cartesian form is a + bi
-The complex number in the polar form is r(cosФ + i sinФ)
* Lets revise how we can find one from the other
- r² = a² + b²
- tanФ = b/a
* Now lets solve the problem
∵ z = 3(cos 60° + i sin 60°)
∴ r = 3 and Ф = 60°
∵ cos 60° = 1/2
∵ sin 60 = √3/2
- Substitute these values in z
∴ z = 3(1/2 + i √3/2) ⇒ open the bracket
∴ z = 3/2 + i √3/2
* The complex number in the form of a + b i is 3/2 + i √3/2
Let's first turn 1 9/10 into an improper fraction, which is 19/10
so if R/12 equa;s 19/10, cross multiply
10r equals 228
divide both sides by 10, you get r= 22.8