D) 12 would NOT be a possible length for the third side because the sum of the 2 shorter legs should be greater than the longest leg.
√3 x √5 = √15
7√15 - 2√15 = answer 5√15
simple
6² = 36
7² = 49
8² = 64
√64
3(-x - 4) = 3x + 5(x + 2)
x=-2
Hey there! I'm happy to help!
VOTES FOR MUNOZ TO SMITH
32:24
We see that both have a common factor of 8, so we can divide both by that.
4:3
This is in simplest form.
VOTES FOR PARK TO MUNOZ
20:32
We see that both have a common factor of 4, so we divide both by that.
5:8
This is completely simplified.
VOTES FOR SMITH TO TOTAL VOTES
24+32+20=76
24:76
We see that both have a common factor of 4, so will divide both by that.
6:19
We cannot simplify any more here.
VOTES FOR SMITH TO MUNOZ TO PARK
24:32:20
We can divide these all by four, so let's do that.
6:8:5
This can't be simplified anymore, so it is in simplest form.
Have a wonderful day! :D
Answer:
Since sine of all angles are always less than one, this shows there is no possible way to have an angle C. Thus it is impossible to have a triangle ABC with the given properties of side lengths b=3 inches and c= 5 inches to have angle B =45 degrees.
Step-by-step explanation:
In the attached drawing, each of the tic-marks are equal and
represent 1 inch each. The angle B has measure 45. We can
see by the arc that the line AC, which equals 3 inches, is
not long enough to reach the slanted side of the 45 angle.
Therefore triangle ABC is not possible. We can also show
by the law of sines that no triangle ABC with the given
properties in possible.