-2x+ 12 = x^2 +16
-2x -4 = x^2
-4= x^2 + 2x
-4= 3x
-4/3 = 3/3x
-1.333 (repeated) = x
Let
x-------------> first odd integer
x+2---------> second odd integer
x+4---------> third odd integer
we know that
(x)+(x+2)+(x+4)=201--------> 3x+6=201--------> 3x=195-------> x=65
the three <span>sides of triangle RIO are
</span>x=65 in
x+2-----> 65+2-----> 67 in
x+4----> 65+4------> 69 in
then
69²=4761----------> c²
(65²+67²)=8714--------> a²+b²
c² < (a²+b²)---------> the triangle RIO is not obtuse
Is acute angle triangle
<span>statements
1) </span><span>The triangle is obtuse--------> is false
</span>Is acute angle triangle
<span>
2) </span><span>The triangle is scalene-----> is correct
The three sides measures are diferent
3)</span><span>The smallest side measures 61 inches--------> is false
</span><span>The smallest side measures 65 in
</span><span>
4)</span><span>The largest side measures 69 inches-------> is correct
</span><span>
5) </span><span>If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller
</span><span>If triangle RIO is dilated of 1/3, then news sides are
</span>65/3------> 21.67 in
67/3-------> 22.33 in
69/3------> 23 in
the new perimeter is=21.67+22.33+23------> 67 in
201-67=134 in
therefore
If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller----------> is false
Because the perimeter of the dilated triangle will be 134 units smaller
Answer:
Step-by-step explanation:
Given
Let
Undergraduates
Graduates
So, we have:
-- Total students
--- students to select
Required
From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.
First, we calculate the total possible selection (using combination)
So, we have:
Using a calculator, we have:
The number of ways of selecting 2 from 3 undergraduates is:
The number of ways of selecting 2 from 5 graduates is:
So, the probability is:
