Answer:
D) 22534 m
Step-by-step explanation:
<em>The figure forms a Z shape where the top line and bottom line are parallel. Therefore the angle with the coastline, inside the triangle will be 16.5°.</em>
<em>We have to find the hypotenuse which is the side opposite to the 90 degree angle.</em>
<em>Now this can be solved through sin formula</em>
<u>Step 1: Write all the data</u>
Angle = 16.5°
Opposite = 6400
Hypotenuse = ?
<u>Step 2: Use the sin formula</u>
Sin (Angle) = Opposite/Hypotenuse
Sin (16.5) = 6400/Hypotenuse
<u>Step 3: Solve</u>
Hypotenuse = 6400/sin(16.5)
Hypotenuse = 22533.99 rounded off to 22534 m
The jet has to fly 22534 m before it reaches the coastline.
Therefore, option D is the correct answer.
!!
Answer:
Step-by-step explanation:
Upon factoring all terms we are left with the product of
[(x-4)(x+6)(x-6)]/[5(x-6)(3x+5)(x-4)]
The (x-4)s and (x-6)s cancel out and we are left with
(x+6)/(5(3x+5)) which is also equal to
(x+6)/(15x+25)
something noteworthy, the y-coordinate for each point is the same, 9⅛, that means is a horizontal line, over which the x-coordinates are at, so since it's a horizontal line, all we need to do is find, what's the distance between 
of course, let's firstly convert the mixed fraction to improper fraction and then check their difference.
![\bf \stackrel{mixed}{5\frac{7}{10}}\implies \cfrac{5\cdot 10+7}{10}\implies \stackrel{improper}{\cfrac{57}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{5}-\left[-\cfrac{57}{10} \right]\implies \cfrac{2}{5}+\cfrac{57}{10}\implies \stackrel{\textit{using the LCD of 10}}{\cfrac{(2)2+(1)57}{10}}\implies \cfrac{4+57}{10}\implies \cfrac{61}{10}\implies 6\frac{1}{10}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B5%5Cfrac%7B7%7D%7B10%7D%7D%5Cimplies%20%5Ccfrac%7B5%5Ccdot%2010%2B7%7D%7B10%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B57%7D%7B10%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B2%7D%7B5%7D-%5Cleft%5B-%5Ccfrac%7B57%7D%7B10%7D%20%5Cright%5D%5Cimplies%20%5Ccfrac%7B2%7D%7B5%7D%2B%5Ccfrac%7B57%7D%7B10%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%2010%7D%7D%7B%5Ccfrac%7B%282%292%2B%281%2957%7D%7B10%7D%7D%5Cimplies%20%5Ccfrac%7B4%2B57%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B61%7D%7B10%7D%5Cimplies%206%5Cfrac%7B1%7D%7B10%7D)
Answer:
All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point.
