Answer: A. 31.5
Step-by-step explanation:
Using law of cosine because it is side angle side
a=16
b=21
angle = 116
c^2=a^2+b^2-2ab cosC, let C be the angle given
c^2=(21)^2+(16)^2-2(16)(21) cos(116)
c^2=441+256-672 cos(116)
i used a ti-89 and answered the right side and got
(you can find a ti-89 simulator online, but for problems like this make sure it is in degree mode)
991.585
c^2=991.585
take square root of both sides
=31.4894, which if you round it up it would be 31.5, so the answer would be A
therefore:
a=16
b=21
c=31.5
J:V = 3:2
3:2 x 40 = 120:80
J: 120-15 = 105
V: 80+15 = 95
J:V is now 105:95
The original amount of peas that Julia had at first was 120.
Answer:
<u>Direction open's Right </u>
Vertex: (0,0)
Focus: (5/4, 0)
axes of symmetry: y = 0
directrix: x = - 5/4
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axes of symmetry.
Hope this really helps u have good day :)
First we expand the brackets:
-2a + 8 + 6a = 36
4a + 8 = 36
We then need to get the a's onto one side and the numbers onto the other:
4a = 28
We can then divide to get an x by itself:
a = 28/4 = 7
