This is right angle trig. We know that...
cos(18°) x hypotenuse = 100
hypotenuse = 100/cos(18°)
hypotenuse = 105.15 meters approx.
Because they want the height of the tree we want "sin(18°) x hypotenuse".
sin(18°) x 105.15 = 32.5 meters approx.
answer: 32.5 meters approx.
Consider the coordinates of X, Y, Z, and W.
The given coordinates are X= -8, Y = -6,Z= -1 and W= -5.
We have to determine the length of segments XY and ZW.
XY = Y - X = -6-(-8) = -6 + 8 = 2 units
ZW = W - Z = -5-(-1) = -5+1 = -4 units
Since, the length of the segments are not equal.
Hence, XY and ZW are not congruent.
Answer:
A
Step-by-step explanation:
we can conclude from the second equation that when
2x + y = 6 then y = 6 - 2x. so instead of y in the first equation we use 6 - 2x.
now the equation would look like this : 6 - 2x = x^2 - 4x + 3 .
then we bring everything to one side of the equation : x^2 - 2x - 3 .
now we'll have two results for x ( because x^2 - 2x - 3 = 0 has 2 answers )
one of them is -1 and other one is 3.
if we put them in the first equation we will have 8 and 0 for y.
so A is the answer
