Answer:
on example 1, both are right triangles.
#7 is the easiest one.
a + bi = -9 + 4i
see the expression on either side matches up so..
a = -9 and b = 4
From the picture, we can see that ΔLSP and ΔLRN are similar, so corresponding sides are proportionate:
LN : LP = 28:12 = 7:3
Therefore, the LRN sides is 7/3 of the corresponding side of LSP.
Then, it states that the area of LSP = 50, and area of a triangle is (1/2)bh, so we set up the equation
Area of LSP = (1/2)bh = 50 ← Remember how the corresponding sides are 7/3 of LSP? Therefore, the area of LRN:
LRN = (1/2)(7b/3)(7h/3) ← Take out the 7/3 and multiply them together
= (49/9)(1/2)bh ← From LSP, we know that (1/2)bh = 50, so plug that in
= (49/9)*50 ≈ 272.222 units ²
So if they eat 450 lb a day and you have a 3600 lb supply you simply divide 3600 by 450.
3600/450=8 days
so your final answer is 8 days.
The answer is 4.2 because you have to replace r with -14.1 and s with 18.3. After that you subtract them and you get 4.2
