Can the sides of a triangle have lengths 6.2, 0.5, and 7.8? yes or no
1 answer:
No, it's not possible for the sides of a triangle to have those lengths.
According to the triangle inequality theorem, the sum of any two sides of the triangle has to be bigger than the last side. Let's test this.
This inequality satisfies the triangle inequality theorem.
This also satisfies the theorem.
Uh oh. This does not satisfy the triangle inequality theorem. Thus, it is not possible for a triangle to have these side lengths.
According to the triangle inequality theorem, the sum of any two sides of the triangle has to be bigger than the last side. Let's test this.
This inequality satisfies the triangle inequality theorem.
This also satisfies the theorem.
Uh oh. This does not satisfy the triangle inequality theorem. Thus, it is not possible for a triangle to have these side lengths.
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Answer:
29. See table below
30. See attached graph
31. The slope is m= 0.10
The slope represent the cost for every additional call minute.
Step-by-step explanation:
The cost is $0.5 first minute and $0.10 for any additional minutes
If c is the total cost of a call that last t minutes then;
c= 0.10t + 0.5-----where t is the time the call lasted
29. Use the equation above to create the table as;
t {x} c{y}
1 0.6
2 0.7
3 0.8
4 0.9
5 1.0
6 1.1
The graph of this plot is as attached , where the coordinates are
{1,0.6} , {2,0.7} ,{3,0.8} ,{4,0.9} ,{5,1.0}, {6,1.1}
The slope can be found using the formula;
m=Δy/Δx
m= 1.1 - 0.6 / 6-1
m= 0.5 / 5 = 0.10
The slope represent the cost for every additional call minute.
Answer:
Step-by-step explanation:
Given
Sample space is
There are 8 element in sample space which indicates the outcome of tossing a coin three times
Probability of obtaining at least one head
9514 1404 393
Answer:
sum = ∑[n=1,5] 4^(n-4)
Step-by-step explanation:
First of all, you need to be able to describe the n-th term.
Here, we have ...
term #: 1, 2, 3, 4, 5
value: 4^-3, 4^-2, 4^-1, 4^0, 4^1
That is, the exponent of 4 is 4 less than the term number. So, the n-th term is 4^(n-4). The sum of the 5 terms shown is then ...