Answer:
Step-by-step explanation:
The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;
sin x = ( opposite / hypotenuse)
The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;
The adjacent side would be;
The cosine of an angle is given as;
cos x = (adjacent side / hypotenuse)
Therefore, the cos x would be;
Disclamer: the following is confusing but I will transcribe what is going on in my head
3:4, 3+4=7
4:5, 4+5=9
hm
we can do fractions
3:4, 4 units is yellow
4/7 of all is yellow
4:5, 5/9 of all is yellow
all end is all-9
yellow intial=6+yellowfinal
yellowinitial=(4/7)all
(let's say all=x)
yi=(4/7)x
final=(5/9)(x-9)
yi=6+yf
(4/7)x=6+(5/9)(x-9)
times both sides by 63
36x=378+35(x-9)
distribute
36x=378+35x-315
36x=35x+63
minus 35x both sides
x=63
yellow=(4/7)(x)
yellow=(4/7)(63)
yellow=36
there wer 36 originally
Answer:
f(4) = 14
Step-by-step explanation:
f(x) = 3x+2
Let x=4
f(4) = 3(4)+2
= 12+2
= 14
