Answer:
The answer to your question is a = 4.81
Step-by-step explanation:
Process
1.- The angle B and 43° are supplementary
B + 43° = 180°
B = 180 - 43
B = 137°
2.- Calculate angle C
The sum of the internal angles in a triangle equals 180°
A + B + C = 180°
29 + 137 + C = 180
- Solve for C
C = 180 - 29 - 137
C = 14°
3.- Use the law of signs to find a
a / sin A = c / sin C
a / sin 29 = 2.4 / sin 14
- Solve for a
a = 2.4 sin 29 / sin 14
- Simplification
a = 2.4 (0.485) / 0.242
- Result
a = 4.809
Answer:
Step-by-step explanation:
Answer:
The radius is decreatsing at a rate 0.78 cm per second.
Step-by-step explanation:
We are given the following in the question:
Instant radius,r = 2 cm
Instant length,l = 9cm
The radius of the cylinder decreases.
Volume of cylinder =
Since the volume of the cylinder does not changes, we can write:
Rate of change of volume:
Puttiung values, we get
Thus, the radius is decreatsing at a rate 0.78 cm per second.
Total = Principal * e^(rate*years)
where "e" is the mathematical constant = 2.718281828459
Total = 3,100 * e^(.065*16)
Total = 3,100 * 2.718281828459^(1.04)
Total = 3,100 *
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2.8292170144
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Total =
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8,770.57
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Source:
http://www.1728.org/rate2.htm
What you should see in this case is that you have a third degree polynomial because you have three different zeros.
We have then that the generic form factorized for a polynomial of third degree is:
(x-a) * (x-b) * (x-c)
where,
a, b, c: real numbers.
For our case:
(x + 10) * (x + 4) * (x-1)
answer:
a polynomial function in factored form is
(x + 10) * (x + 4) * (x-1)