Answer:
cool
Step-by-step explanation:
Answer: y>-3 and x is all real numbers
8/15 is about 0.53
It would be closer to 1/2 or 1 over 2
We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm
We know that
in the right triangle
<span>sinθ=opposite side/hypotenuse
</span><span>cosθ=adjacent side/hypotenuse
</span><span>tanθ=opposite side/adjacent side
in this problem
opposite side angle </span>θ=8
adjacent side angle <span>θ=15
hypotenuse=17
so
</span>sinθ=8/17
cosθ=15/17
tanθ=8/15
