Answer:
(b) the answer
Step-by-step explanation:
Answer: 360 degrees!
Step-by-step explanation: To find the sum of the interior angles, multiply the number of triangles by 180. C) The sum of the interior angles in any polygon can be found by multiplying the number of triangles formed by the diagonals from one vertex times 180 degrees in each triangle. Hope this helps, have a wonderful day! :D
Answer:
simplifies to 
Step-by-step explanation:
Given expression
We have to simplify the above expression,
Consider the given expression
Multiply each term in brackets by 
, we get,
Solving further, using 
we get,
Thus, simplifies to
Answer:
The solution to the differential equation y'(y + 7)y'' = (y')²
y = Ae^(Kx) - 7
Step-by-step explanation:
Given the differential equation
y'(y + 7)y'' = (y')² ..................(1)
We want to solve using the substitution u = y'.
Let u = y'
The u' = y''
Using these, (1) becomes
u(y + 7)u' = u²
u' = u²/u(y + 7)
u' = u/(y + 7)
But u' = du/dy
So
du/dy = u/(y + 7)
Separating the variables, we have
du/u = dy/(y + 7)
Integrating both sides, we have
ln|u| = ln|y + 7| + ln|C|
u = e^(ln|y + 7| + ln|C|)
= K(y + 7)
But u = y' = dy/dx
dy/dx = K(y + 7)
Separating the variables, we have
dy/(y + 7) = Kdx
Integrating both sides
ln|y + 7| = Kx + C1
y + 7 = e^(Kx + C1) = Ae^(Kx)
y = Ae^(Kx) - 7
Answer:
Use the sum of angle measures rule.
Step-by-step explanation:
If you are given two angles and one missing angle, it's good to remember that all angles add up to 180°.
You can add the the given angles measurements, and subtract them by 180. You should then get the missing angle measure.
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