Velocity with wind = 1,980 / 4.5 = 440 mph
Velocity against wind =1,980 / 5.5 = 360 mph
Plane in still air - wind speed = 360
Plane in still air + wind speed =440
Adding both equations:
2*Plane in still air = 800
Plane in still air = 400 mph
Plane in still air + wind speed =440
Therefore, wind speed = 40 mph
Answer: 1) Value is placed on top of the X =90
2) Value is placed on the bottom of the X =21
3) Factored form will be (3x+5)(3x+2)
Step-by-step explanation:
Since we have given that

As we know the quadratic form :

1) Value is placed on top of the X is given by

2) Value is placed on the bottom of the X is given by

3) Factorised form:
We will use "Split the middle term":

Hence, Factored form will be
(3x+5)(3x+2)
The number of pages in the book is 180
<u>Explanation:</u>
The first thing we should do is to convert these fractions to percentage

3/4 of the remainder on thursday:
Thursday: (100 - (13.33 + 33.33 + 22.22) * (3/4) = 23.33%
he still has 14 pages left to read on friday
Friday: [100 - (13.33 + 33.33 + 22.22) ] - 23.33 = 7.77%
Which means that 14 pages represent 7.77% of the book.
Therefore the number of pages of the book is given by:

Therefore, number of pages in the book is 180
Let's analyse the function

The amplitude is A, so we want A=1.5
Now, we start at x=0, and we have 
After one second, i.e. x=1, we want this sine function to make 330 cycles, i.e. the argument must be 
So, we have

so, the function is

Answer: 1
B is the center of a circle of radius 1. A and C are on the circle 100 degrees apart. So arc AC is 100 degrees. Arc AC the long way around is 360-100=260 degrees. That means any point D on arc AC will subtend a 130 degree angle. BD is a radius for all of those, and the radius is 1.