Point G cannot be a centroid because GE is wider that JG or JG is shorter than GE. So in this diagram GE is wider than JG with 10 cm and 5 cm respectively based on this information Point G cannot be a centroid of triangle HJK. So the answer is point G cannot be a centroid because JG is shorter than GE.
Answer:
15+ 17+ 19+ 21+23
Step-by-step explanation:
consecutive odd integers, like 1, 3, 5, 7
consecutive even integers, like 2, 4, 6, 8
an integer is a <em><u>whole number</u></em>
Answer:
36 minutes
Step-by-step explanation:
Let the productivity of slower computer is x bits/min
That means Slower computer in 45 minutes sends x*45 bits= company's email
Let the productivity of faster computer is y bits/min
That means that working together slower and faster computers send
x*20+y*20= company's email or
x*20+y*20=x*45
x*25=y*20
y/x=25/20= 1,25
That means that faster computer sends the mails 1.25 times faster than slower computer
So faster computer will need in 1.25 times lees time than slower computer to do this job
45:1.25 =36 min
False.
e is an irrational number, then it cannot be the ration of two integer numbers.
That expression is only an approximation to the value of e.
Answer:
165 different teams of 3 students can be formed for competitions
Step-by-step explanation:
Combinations of m elements taken from n in n (m≥n) are called all possible groupings that can be made with the m elements so that:
- Not all items fit
- No matter the order
- Elements are not repeated
That is, a combination is an arrangement of elements where the place or position they occupy within the arrangement does not matter. In a combination it is interesting to form groups and their content.
To calculate the number of combinations, the following expression is applied:
It indicates the combinations of m objects taken from among n objects, where the term "n!" is called "factorial of n" and is the multiplication of all the numbers that go from "n" to 1.
In this case:
Replacing:
Solving:
being:
- 3!=3*2*1=6
- 8!=8*7*6*5*4*3*2*1=40,320
- 11!=39,916,800
So:
C= 165
<u><em>165 different teams of 3 students can be formed for competitions</em></u>
