Alright, so in order to find this, you will nee to use the Triangle Inequality Theorem.
We’ll make the values = to variables to make it easier. a=1 b=1 c=2
All of the inequities need to be true.
a+b>c
b+c>a
c+a>b
Now replace the variables.
1+1>2 2>2 (False)
1+2>1 3>1 (True)
1+2>1 3>1 (True)
Since one is false, 1,1, and 2 cannot make a triangle.
Answer:
Part A)
Part B)
Step-by-step explanation:
We know that the rectangle has a length of (x+5) and a width of 12 cm.
Part A)
Remember the formula for the perimeter of a rectangle:
We know that the perimeter is 86. Substitute that for P:
Substitute (x+5) for the length l and 17 for w. So:
We can simplify this to acquire our equation:
Part B)
To find the length, let's find our x first. We have the equation:
Divide both sides by 2:
Now, subtract 22 from both sides. Therefore, our x is:
To find the length, remember that the length is:
Since we now know the value of x, substitute 21 for x:
Add:
So, the length is 26 centimeters.
And we're done!
Answer:
25y²-x²
Step-by-step explanation:
Answer
I think it's going to be (-5,0)
Step-by-step explanation:
Answer:
(A) 0.20
Step-by-step explanation:
For calculate the probability that both positions will be filled by men, we need to find the total ways in which we can select two positions from the 3 applicants that are men and divide this by the total ways in which we can select two positions from the six applicants.
So, the total ways in which we can select two positions from the six applicants is calculate using the rule of multiplication as:
<u>____6_ __ </u> * <u> 5 </u> = 30
Sales manager Sales Associate
Because we have 6 applicants for sales manager and then 5 applicants for sales associate.
At the same way, the total ways in which we can select two positions from the 3 applicants that are men is calculate as:
<u>____3_ __ </u> * <u> 2 </u> = 6
Sales manager Sales Associate
Because we have 3 applicants for sales manager that are men and then 2 applicants for sales associate.
Finally the probability can be calculated as a division between 6 and 30 as:
6/30 = 0.20
