Answer:
1680 ways
Step-by-step explanation:
Total number of integers = 10
Number of integers to be selected = 6
Second smallest integer must be 3. This means the smallest integer can be either 1 or 2. So, there are 2 ways to select the smallest integer and only 1 way to select the second smallest integer.
<u>2 ways</u> <u>1 way</u> <u> </u> <u> </u> <u> </u> <u> </u>
Each of the line represent the digit in the integer.
After selecting the two digits, we have 4 places which can be filled by 7 integers. Number of ways to select 4 digits from 7 will be 7P4 = 840
Therefore, the total number of ways to form 6 distinct integers according to the given criteria will be = 1 x 2 x 840 = 1680 ways
Therefore, there are 1680 ways to pick six distinct integers.
Y=4
the answer is y=4 because you had to subtract 8 from both sides.
$21.60 - $18.00 = $3.60
$3.60 : $18.00 = 0.2
0.2 · 100% = 20%
Answer:
A. Theorems
and
B.Corollaries
Step-by-step explanation:
Answer:
<u>See below:</u>
Step-by-step explanation:
Let the angles be 5x , 4x , 3x.[Since the angles are in ratio 5:4:3 ] respectively.
We know that sum of all angles of a triangle is 180°.
So,

Now Find the value of x of this equation.





Now,
Multiply each ratio given by 15 which is the value of x we got.
That is;



Hence,the measurements of the angles of the triangle would be 75°[First Angle],60°[Second angle],and 45° [Third Angle].

I hope this helps!
Let me know if you have any questions.