Answer:
Step-by-step explanation:
take 60 degree as reference angle
using cos rule
cos 60=adjacent/hypotenuse
1/2=80/x(do cross multiplication)
80*2=x
160=x
I can't see the whole question but infinite I believe since you can keep making lines infinitely small amounts to the right/left.
Yes I think they are correct
In order to understand this question, one needs to understand the construction first. After creating POQ, Meg picks a radius r and makes a circle around O. There are 2 points where the circle meets the triangle. Then, she meets another radius and she makes a circle of radius s around each of the points on the triangle. The two circles cross at one point, as can be seen in the figure. Let's name the first two points A and B and let's name the last point S. We have that for the triangles OAS, OBS we have OA=OB=r, BS=AS=s and that OS is common to both. Thus by the S-S-S triangle equality theorem, the triangles are equal. Hence for the angles AOS=BOS, namely POS=QOS. Since POQ=POS+QOS, we have that POS has to be half of POQ. The only consistent choice is the third one, POS=20 degrees and POQ=40 degrees.
The volume of the agar cube remaining is 729 cubic mm
Step-by-step explanation:
Side of the agar cube= 12mm
Side of the agar cube after penetration= 12-1.5-1.5
= 9mm
The orange dye penetrated 1.5mm each side so the side of the agar cube is 9 mm
Volume = a x a x a
= 9 x 9 x 9
= 729 cubic mm