Answer:
1
Step-by-step explanation:
(3²-2³)⁶⁶ = (9 - 8)⁶⁶ = (1)⁶⁶ = 1
Answer:
x = 1.5
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin60° =
, then
sin60° =
=
=
( cross- multiply )
2x = 3
( divide both sides by 2 )
x = 1.5
Answer:
x = 67; y = 40
Step-by-step explanation:
You are correct with y. Angles y + 23 and 63 are vertical, so they are congruent. That gives you y + 23 = 63, which gives y = 40.
To find x, look at angles 2x - 17 and 63.
They are adjacent angles whose outside rays lie on a line. Angles like these are called a linear pair, and they are supplementary. That means their measures add up to 180 deg.
2x - 17 + 63 = 180
2x + 46 = 180
2x = 134
x = 67
6= - 5/4 (-4) +b
6=-5+b
11=b
y=-5/4+11
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