We're looking for a solution of the form
. By the chain rule, this solution should have total differential

and the equation is exact if the mixed second-order partial derivatives of
are equal, i.e.
.
The given ODE is exact, since


Then




With
, we get


1700 because I multiply 30 x 20 then 20 x 5 then 30 x 5 then add them all up and multiply your answer by 2
1/2
If ABC ~ DEF then 12/6, 16/8, and 18/9 would equal 2
BUT since we are going from a large triangle to a small triangle, our answer needs to be less then one, making our answer 1/2
Answer:
175 is the answer
Step-by-step explanation:



Answer:
The required answer is
Therefore the number in green box should be 7.
Step-by-step explanation:
Given:
AB = 7√2
AD = a , BD = b , DC = c , AC = d
∠B = 45°, ∠C = 30°
To Find:
c = ?
Solution:
In Right Angle Triangle ABD Sine identity we have

Substituting the values we get


Now in Triangle ADC Tangent identity we have

Substituting the values we get

The required answer is