Today is March, 19th 2016
so from 1992 have been: 2016 - 1992 = 24 years
but the date is from October 30th, so we are not at 24 years just yet, we are at 23 years and the months and days since last 30th October, that is:
November + December + January + February = 4 months
and some days more, 19 days because today is 19th, so the total is:
23 years, 4 months, 19 days
Answer:
<u>3.7</u>
Step-by-step explanation:
<u>Given</u>
- sin²θ + cos²θ = 1
- sinθ = 0.27
<u>Solving for cos</u>θ
- cos²θ = 1 - sin²θ
- cos²θ = 1 - (0.27)²
- cos²θ = 0.0729
<u>Finding tan</u>θ
- tanθ = sinθ / cosθ
- tanθ = 0.27 / 0.0729
- tanθ = <u>3.7</u>
<u>Verifying it lies in the range</u>
- θ = tan⁻¹ (3.7)
- θ = 74.88°
- Range is : 0 < θ < π/2 [or 0 < θ < 90°]
- It lies in the range [Verified]
Question 1:
For this case we have the following functions:

We must find
):
By definition we have to:


We substitute
:

So, we have that 
Answer:

Question 2:
For this case we have the following functions:

We must find
:
By definition we have to:

We substitute
:

Answer:

Question 3:
For this case we must find the inverse of the following function:

To do this, we follow the steps below:
We change y for
:

We exchange variables:

We clear the value of the variable "y":

We change y for
:

Answer:

Answer:
8
Step-by-step explanation:
1+5 x 3= 16
16/2 = 8
8