Answer:
AC = 3.72 units
Angles:
A = 132.6°
C = 27.4°
Step-by-step explanation:
AC² = 5² + 8² - 2(5)(8)cos(20)
AC² = 13.82459034
AC = 3.718143399
3.718143399/sin20 = 8/sinA
sinA = 0.7358944647
A = 180 - 47.38285134
A = 132.6171487
3.718143399/sin20 = 5/sinC
sinC = 0.4599340405
C = 27.38285134
Answer:
B. 1/2
Step-by-step explanation:
In the picture attached, the Venn diagram is shown
amount of ASE certified brakes mechanics: 4+2+2+1 = 9
amount of mechanics: 4+2+2+1+3+3+3 = 18
The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2
Answer:
Step-by-step explanation:
so from the silly drawing, you can see that the triangle is 4 feet off the ground, and that we want to find the Opp side from our angle of 15 °
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
use TOA to find the Opp side of the triangle .. which is labeled X
Tan(15) = X / 15
15* Tan(15) = X
4.019 = X
so the bird is up 4 feet in the tree.. not very high up, plus the 4 feet that the apple is already off the ground, soo
the tree... to where the bird is, at least, is 8.019 feet..
did this make sense? :/
hope the drawing helped :P
The lowest point is at the vertex, or U-turn.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Point D is about 1/4 of the way from C to A on segment AC.
Point D' will be about 1/4 of the way from C' to A' on segment A'C'.
If you have a compass, dividers, or ruler, you can copy the distance DC to D'C' to place the point more or less exactly.