I think it would be the second answer but I’m not positive
Answer:
Step-by-step explanation:
A triangle with angles of 30-60-90 will always have sides that measure in the following proportions:
The side opposite the 30* angle = a
The side opposite the 60* angle = 
The side opposite the 90* angle = 2a
(I used "a" here because your question uses "x" and I don't want to confuse things, but usually people use "x" rather than "a")
They gave us that the hypotenuse (the side opposite the 90* angle) is 10, from there we can figure out the other sides:
Since the side opposite 90* is 2a, and 2a = 10, divide 10 by 2 and you get a = 5.
Once we know what "a" is, we can fill in the rest:
30* = 5
60* =
90* = 10
Ratio of red roses to yellow roses as given in the question = 4:6
Total number of roses in the question = 50
Let us assume that the common ratio is = x
Then
4x + 5x = 50
10x = 50
x = 50/10
= 5
Then
The number of yellow roses = 6 * 5
= 30
So there are 30 yellow roses among the total of 50 roses. I hope the procedure is simple enough for you to understand. You can use this procedure for solving similar type of problems in future. I hope this has helped you.
Answer:
x=31
Step-by-step explanation:
you just have to add the two equations to equal 180 because it's they're supplementary angles.
(25+x)+4x=180
25+x+4x=180
25+5x=180
5x=155
x=31
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
the side "?" is the Adjacent side (Adj) and we are given the angle and the Hypontenuse ( long side) (Hyp) of this triangle
so use CAH
cos(75) = Adj / 8
algebra to solve for the Adj side (which is the "?" for this problem )
8*cos(75) = Adj
2.07055 = Adj
so the "?" is 2.1 ft ( rounded to the nearest 10th )
