Answer:
Step-by-step explanation:
Given
Let the three sides be a, b and c
Such that:
Required
Find c such that a, b and c do not form a triangle
To do this, we make use of the following triangle inequality theorem
To get a valid triangle, the above inequalities must be true.
To get an invalid triangle, at least one must not be true.
Substitute:
The results of the inequality is: and
Rewrite as: and 
This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)
Any value outside this range, cannot form a triangle
So, we can say:
, since no options are given
Step-by-step explanation:
This is a probability related problem.
Probability is the likelihood of an event to occur;
Pr = 
The sample space here is from 1 to 25 which is 25
A.
Pr of a card marked 8; we have just 1 possible outcome;
Pr(8) = 
B.
Pr of drawing a card that is a multiple of 5;
Multiples of 5 = 5, 10, 15 and 25
Pr (multiples of 5) = 
C.
Pr of drawing a card with odd numbers:
Number of odd numbers between 1 and 25 = 13
Pr(odd numbers) = 
D.
Pr of drawing a number with square number on it;
Square numbers between 1 and 25 = 1, 4, 9, 16 and 25
Pr(square numbers) = 
= 
Short answer: Yes.
Each member of the sequence is multiplied by 5 to get to the next member of the sequence.
Find the general equation.
tn = a*5^(n - 1)
Example
t4 = 1*5^(4 - 1)
t4 = 1*5^3
t4 = 125 just as the sequence shows.
t5 = 1^5^4
t5 = 625 Any member of the sequence can be found this way.
Answer:
0.753
Step-by-step explanation:
I just took the test lol
Answer:
4.93333...
Step-by-step explanation:
-24 + (-10) + (-40) = -74
-5 * 3 = -15
-74 /-15 = 4.93333...
