Answer:
The length of the third side of given triangle lies between 6.5 and 19.9.
Step-by-step explanation:
The law of cosine is as follows
---------------1
⇒ a and b are the given sides of the triangle and c is the third side, and 
is the angle between a and b .
In equation 1 , the maximum and minimum values of 
are 1 and -1.
so the value of c lies in between
⇒ 
and 
= 
Given a=13.2 and b=6.7 so the the side lies in between |13.2-6.7| and |13.2+6.7|
so the third side lies between 6.5 and 19.9
The answer is f(x)=x²+2x when evaluated with -3 gives you the value of 3
Let's check all functions.
1. The function f(x)=x²<span>+2x when evaluated with 3 gives you the value of 3:
Evaluated with x means that</span> x = 3.
f(3) = 3² + 2 * 3 = 9 + 6 = 15
15 ≠ 3, so, this is not correct.
2. f(x)=x²<span>-3x when evaulated with -3 give you the value of 3
Evaluated with -3 means that x = -3.
(f-3) = (-3)</span>² - 3 * (-3) = 9 + 9 = 18
18 ≠ 3, so, this is not correct.
3. f(x)=x²<span>+2x when evaluated with -3 gives you the value of 3
</span> Evaluated with -3 means that x = -3.
f(-3) = (-3)² + 2 * (-3) = 9 - 6 = 3
3 = 3, so this is correct.
4. f(x)=x²-3x when evaluated with -3 gives you the value of 3
Evaluated with 3 means that x = 3.
f(3) = (3)² - 3 * 3 = 9 - 9 = 0
0 ≠ 3, so this is not correct.
Answer:
1 Answer->3
Step-by-step explanation:
To factor this out find the factors of 9 which add up to 6.
3 and 3 work therefore factor it out to
(x+3)(x+3)=0
Using Zero product property x is equal to -3
And there is only one answer which is 3
Answer:
0.273 = 27.3% probability that she was late on Thursday.
Step-by-step explanation:
On time on Monday, late on Thursday:
Possible outcomes (tuesday-wednesday-thursday).
on time(0.7 probability) - on time(0.7 probability) - late(0.3 probability)
on time(0.7 probability) - late(0.3 probability) - late(0.2 probability)
late(0.3 probability) - on time(0.8 probability) - late(0.3 probability)
late(0.3 probability) - late(0.2 probability) - late(0.2 probability).
What is the probability she was late on Thursday?
Sum of these four outcomes. So
0.273 = 27.3% probability that she was late on Thursday.
Final Answer :
36 L
Step-by-step explanation:
4.5 L × 8 gallons = 36
