Lets start of with what we know.
• There are two 27 degree angles 27 + 27 = 52 is the sum of the angles.
•There are 360 degrees all around the intersection
So, we can find out the sum of the 2 angles that are unknown by subtracting.
360-52=308
So, if the sum of the unknown 2 angles are 308, we can divide by 2 to find the measure of the unknown angles.
308/2=154
Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)
You can find your answer by just substituting -3 for x......
The numbers are "x" and "y";
Therefore, we can suggest this system of equations:
x+y=24 ⇒x=24-y
x/y=5
solve this problem by substitution method.
(24-y)/y=5
24-y=5y
-y-5y=-24
-6y=-24
y=-24/-6=4
x=24-y
x=24-4
x=20
Answer: the numer are: 20 and 4
Answer:
Ratio: 20:36
Rate: 20 squids per 36 eels
Simplified ratio:
Unit ratio:
20/36 squids per eel (dividing by 36)
Please mark Brainliest if this helps!
