If there is such a scalar function <em>f</em>, then



Integrate both sides of the first equation with respect to <em>x</em> :

Differentiate both sides with respect to <em>y</em> :


Integrate both sides with respect to <em>y</em> :

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :



Integrate both sides with respect to <em>z</em> :

So we end up with

Step-by-step explanation:
Perimeter = 2 * (Side A + Side B)
= 2 * (3x + 2 + x - 5)
= 2 * (4x - 3)
= 8x - 6.
We have 8x - 6 = 50, so 8x = 56 and x = 7.
Length of rectangle = 3(7) + 2 = 23.
Width of rectangle = (7) - 5 = 2.
Answer:
How would i know i dont do tiktok
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
68.17m
Step-by-step explanation:
Please see attached a rough sketch of the scenario
Step one:
Given data
Height of victim= 4.5ft
The horizontal distance of the snipper from the building = 780ft
The angle of elevation= 5 degrees
Required
The vertical distance
The opposite= the vertical distance
789 ft = the adjacent
Step two:
Applying SOH CAH TOA
tan ∅= opp/adj
tan 5= opp/780
cross multiply we have
0.0874= opp/780
cross multiply we have
0.0874*780= opp
opp= 68.17m
The sniper shoots from a vertical distance of 68.17m