Compute the differential for both sides:
4<em>y</em> - 3<em>xy</em> + 8<em>x</em> = 0
→ 4 d<em>y</em> - 3 (<em>y</em> d<em>x</em> + <em>x</em> d<em>y</em>) + 8 d<em>x</em> = 0
Solve for d<em>y</em> :
4 d<em>y</em> - 3<em>y</em> d<em>x</em> - 3<em>x</em> d<em>y</em> + 8 d<em>x</em> = 0
(4 - 3<em>x</em>) d<em>y</em> + (8 - 3<em>y</em>) d<em>x</em> = 0
When <em>x</em> = 0, we have
4<em>y</em> - 3•0<em>y</em> + 8•0 = 0 → 4<em>y</em> = 0 → <em>y</em> = 0
and with d<em>x</em> = 0.05, we get
(4 - 3•0) d<em>y</em> + (8 - 3•0) • 0.05 = 0
→ 4 d<em>y</em> + 0.4 = 0
→ 4 d<em>y</em> = -0.4
→ d<em>y</em> = -0.1
XZ = 186.8625.
Since the triangles are similar, the ratio of their angles is the same. This means the ratio of BC to YZ will be the same as the ratio of AC to XZ; using this to set up a proportion,
9.6/118.8 = 15.1/x
Cross multiply:
9.6*x = 118.8(15.1)
9.6x = 1793.88
Divide both sides by 9.6:
9.6x/9.6 = 1793.88/9.6
x = 186.8625
Answer:
a > $300
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
for example : 2 < 3 means 2 is less than 3
3 >2 means 3 is greater than 2
the school must raise greater than $300 so the sign to be used is >
let the amount = a
a > $300
Answer:
19.2 lbs of dog food in 5 weeks
Step-by-step explanation:
12 divided by 5 is 2.4
So that means each week the dog consumes 2.4 lbs of food each week.
If we want to see how much he eats in 8 weeks, we'd multiply 2.4 by 8, giving us 19.2
