Answer:
1. 23.8
2. 7.7
Step-by-step explanation:
<u>for the first blank</u>
use sin because x is opposite and 25 is hypotenuse
set up an equation:
sin(72)= (x/25)
multiply both sides by 25:
25(sin(72))= (x/25)25
25(sin(72))= x
multiply 25 by sin(72):
23.8 = x
<u>for the second blank</u>
use cos because x is adjacent and 25 us hypotenuse
set up an equation:
cos(72)= (x/25)
multiply both sides by 25:
25(cos(72))= (x/25)25
25(cos(72))= x
multiply 25 by cos(72):
7.7= x
First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
Answer:
The parallel line would be y = 4
Step-by-step explanation:
If a line is perpendicular to the to the x axis, then it is a horizontal line. All horizontal lines can be written in the form of y = (a number). That number can be found as the y-coordinate in the ordered pair given.
y = 4
Joint frequencies are the frequencies represented by a two-column table
The joint frequency that has the most flight is (c) Yellow Jet, going east
<h3>How to determine the highest flight</h3>
From the two-column table, the highest flight is 35.
35 is greater than other flights (33, 30 and 34) in the two-column table.
Also, 35 represents the flights of Yellow jets and going east
Hence, the joint frequency that has the most flight is (c) Yellow Jet, going east
Read more about joint frequency at:
brainly.com/question/1094036