We have two sides and one angle opposite to one of the known sides.
Begin with applying the Law of Sines to find angle A:

= <span>

Then, solve for sin A:
</span>sin A =

Now, plug in numbers:
sin A = 19 × sin(38) / 10 = 1.17
We know that it does not exist an angle whose sin is bigger than 1, therefore
no triangle is formed.
Answer:
42°
Step-by-step explanation:
3x + 54° = 180° [Supplementary angles]
=> 3x = 180 - 54
=> 3x = 126

=> <u>x = 42</u><u>°</u><u> </u><u>(Ans)</u>
Answer:

Step-by-step explanation:
We can write this rate as an ordinary differential equation.

Where a is proportional constant, P the population variable, and t the time.

Integrating each side of the equation.



To find C we need to use the initial condiction, it means evaluae P at t=0.


Now, we use the sentence the population has doubled in 5 years.

We can find "a" in this condition.




Finally, let's find how long will it take to triple.




I hope it helps you!
Answer:
6c - 7 = 5
Step-by-step explanation:
following the steps in the sentence.
because it is 7 less you have a subtraction problem ( -7)
because it is 6 and a number you have a multiplication problem (6c)
it equals 5 (=5)