5 2/5 is the answer as a mixed number
Answer:
x = 14.4
Step-by-step explanation:
x is sin(angle 24/30)×24
how do we get the angle at 24/30 ?
by using the extended Pythagoras for baselines opposite other than 90 degrees.
c² = a² + b² - 2ab×cos(angle opposite of c)
in our example the angle 24/30 is opposite of the side 18.
so,
18² = 24² + 30² - 2×24×30×cos(angle 24/30)
324 = 576 + 900 - 1440×cos(angle 24/30)
324 = 1476 - 1440×cos(angle 24/30)
1440×cos(angle 24/30) = 1152
cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5
angle 24/30 = 36.9 degrees
x = sin(36.9) × 24 = 14.4
It has one solution that I know of
Answer:
x = 4
y = 1
Step-by-step explanation:
Here, we want to solve the system of equation using elimination method
We have this as follows;
3x + y = 13
4x- 3y = 13
Multiply equation 1 by 3
9x + 3y = 39
4x-3y = 13
Add the two equations
13x = 52
x = 52/13
x = 4
From equation 1;
3x + y = 13
y = 13-3x
y = 13-3(4)
y = 13-12 = 1
2r + 2r + 5 + r + 4r - 3 = 38
9r + 5 - 3 = 38
9r + 2 = 38
9r = 38 - 2
9r = 36
9r/9 = 36/9
r = 4cm
Done!
