Step-by-step explanation:
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Hi !! the correct answer would be the last option, due to the fact that -2 and 2 both have the same absolute value, hope it helps !! :]
Answer: the answer is approximately 41.65428, not rounded (maybe re do all the steps just in case)
Step-by-step explanation:
1. label the space between X and W the unknown.
2. You will be using SOH-CAH-TOA
3. Label the X as the opposite because it is the opposite side of where your degree is located.
4. Label five as adjacent because it’s next to the degree.
5. You will use TOA since you have adjacent and opposite values.
6. Write the equation tan58=x/5, the unknown goes on the top because O is first, the five goes on the bottom because A is last on TOA.
7. After you have the equation time 5 on both sides leaving you out with (5)tan58=x
8. On your calculator time (5)tan58 which will give you x.
Answer:
AT = 8
Step-by-step explanation:
Using the sine ratio in the right triangle
and sin45° = 
sin45° =
=
= 
Multiply both sides by AT
AT × sin45° = 8, that is
AT ×
= 8
Multiply both sides by 
AT = 8
Answer:
a) 
b) 
Step-by-step explanation:
By definition, we have that the change rate of salt in the tank is
, where
is the rate of salt entering and
is the rate of salt going outside.
Then we have,
, and

So we obtain.
, then
, and using the integrating factor
, therefore
, we get
, after integrating both sides
, therefore
, to find
we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions
, so 

Finally we can write an expression for the amount of salt in the tank at any time t, it is 
b) The tank will overflow due Rin>Rout, at a rate of
, due we have 500 L to overflow
, so we can evualuate the expression of a)
, is the salt concentration when the tank overflows