Answer:
Step-by-step explanation:
Let the coordinates of d be (x,y)
The midpoint of (x,y) and (-5,-3) is equal to ((-5+x)/2, (-3+y)/2)
this should be equal to the coordinates of e, (-6,4)
we have (-5/2+x/2, -3/2+y/2)
-5/2+x/2 = -6
-5 + x = -12
x = -7
-3/2+y/2 = 4
-3+y = 8
y = 11
Therefore the coordinates of d are (-7,11)
2 rice/4.5 water = 5 rice/x water
Multiply by x water and get
X 0.44 rice =5rice
Now divide by rice
X=11.25 rice
<h3>
Answer: 0.5</h3>
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Explanation:
The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.
We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.
This leaves sin(B)/b
We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.
The angle opposite side c is 15 degrees, so C = 15.
The lowercase letters represent side lengths, while the uppercase letters are angles.
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We have enough to apply the law of sines to solve for side c.
sin(B)/b = sin(C)/c
sin(105)/2 = sin(15)/c
c*sin(105) = 2*sin(15) ............. cross multiply
c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)
c = 0.53589838486224
c = 0.5
Side c is roughly 0.5 cm long.
Make sure your calculator is in degree mode.
By inspection 1 is a root of y ,
Hence , (x-1) is a factor of y ,
Hence , the 2 other roots are -1/2 and 3 , and the above graphs confirms the same.
Hope it helps you :)
Both lines are parallel, since they have the same slope of 2.
