Tanα=h/x, tanß=h/(x+88)
solving both for x
x=h/tanα, x=h/tanß-88, since x=x
h/tanα=h/tanß-88
h/tanß-h/tanα=88
(htanα-htanß)/(tanα*tanß)=88
h(tanα-tanß)/(tanα*tanß)=88
h=88(tanα*tanß)/(tanα-tanß)
Since α=32 and ß=22...
h=88(tan32*tan22)/(tan32-tan22)
h≈85.3 feet
To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles.
Answer:Benjamin’s age = 30 and David’s age = 6
Explanation:
Let x be the age of Benjamin
Let y be the age of David
x + y = 36
And 2x + 2y = 72
If we plug 30 for x and 6 for y we get:
30 + 6 = 36
36 = 36
2(30) + 2(6) = 72
60 + 12 = 72
72 = 72
=
Let

denote the amount of salt in the tank at time

. We're given that the tank initially holds

lbs of salt.
The rate at which salt flows in and out of the tank is given by the relation


Find the integrating factor:

Distribute

along both sides of the ODE:




Since

, we get

so that the particular solution for

is

The tank becomes full when the volume of solution in the tank at time

is the same as the total volume of the tank:

at which point the amount of salt in the solution would be
Answer:
7
Step-by-step explanation:
Please find the solution in the image attached below.
Hope this helps!