The triangle inequality states that in a triangle, any two of the side lengths must add up to a length that is greater than the third. That is, if you have a triangle with sides a, b, and c, then a+b>c, a+c>b, and b+c>a.
In this case, we are given two lengths of a triangle. Let's call those two values a and b, where a>b.
Then we have that c
Now we can also use another inequality, a
Now we can apply these limits to all the individual questions.
1) 13 - 10 < c < 13 + 10. This simplifies down to 3 < c < 23
2) 12 - 5 < c < 12 + 5. This simplifies down to 7 < c < 17
3) 11 - 4 < c < 11 + 4. This simplifies down to 7 < c < 15
Hope it help!
Answer:
It's J
Step by Step Explanation:
Answer:
GCF of 3 and 6 is 3.
LCM of 3 and 6 is 6.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The exponential model for the population in t years after 2013 is given by:
In which P(0) is the population in 2013 and r is the growth rate.
In 2013, the moose population in a park was measured to be 5,100
This means that 
So
By 2018, the population was measured again to be 5,200.
2018 is 2018-2013 = 5 years after 2013.
So this means that 
.
We use this to find r.
So the equation for the moose population is:
Answer:
8 hours
Step-by-step explanation:
rental fee = 12 + 4/hr
spent = 44
44 = 12+4(hr)
32 = 4(hr)
32/4 = hr
hr = 8
