Answer:
<h2>
3,654 different ways.</h2>
Step-by-step explanation:
If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).
Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.
nCr = n!/(n-r)!r!
Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.
29C3 = 29!/(29-3)!3!
29C3 = 29!/(26!)!3!
29C3 = 29*28*27*26!/26!3*2
29C3 = 29*28*27/6
29C3 = 3,654 different ways.
This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders
Answer: H=2A/B
H=12 cm
Step-by-step explanation:
A = 1/2BH
2A=BH
H=2A/B
H=2(90)/15
H=180/15
H=12 cm
The number of rows in the arena is 26
<h3>How to determine the number of rows?</h3>
The hockey arena illustrates an arithmetic sequence, and it has the following parameters:
- First term, a = 220
- Sum of terms, Sn = 10920
- Common difference, d = 16
The number of rows (i.e. the number of terms) is calculated using:
So,we have:
Evaluate the terms and factors
Evaluate the like terms
21840 = n(424+ 16n)
Expand
21840 = 424n + 16n^2
Rewrite as:
16n^2 + 424n - 21840 = 0
Using a graphical tool, we have:
n = 26
Hence, the number of rows in the arena is 26
Read more about arithmetic sequence at:
brainly.com/question/6561461
#SPJ1
Hey there!
When dealing with percents, whenever you see the were is or was, it is an equal sign. Here, we see that 45% of the music she listened to was country, and 27 songs were country.
0.45x=27
Now, we solve.
x=60
Therefore, Brianna listened to 60 songs.
I hope this helps!
Answer: 5¹⁵/₁₆
Step-by-step explanation:
The Wildflower Trail is currently 2³/₈ miles long.
If the city will extend it by 2¹/₂ in 5 years, the length in five years will be;
= 2³/₈ * 2¹/₂
= 19/8 * 5/2
= 95/16
= 5¹⁵/₁₆
