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
Hello there,
Part 1:
Perimeter of Red = 11+11+11+11
= 44
Perimeter of Blue= 6+6+6+6
= 24
Ratio: Red : Blue
44 : 24(divide by 4)
11 : 6
Part 2:
Area of Red= 11 x 11
= 121
Area of Blue= 6 x 6
= 36
Ratio: Red : Blue
121: 36
Hope this helps :))
~Top
Answer:
60.32
Step-by-step explanation:
A trapezium is a quadrilateral. The option that is true for the trapezium is A, D, and E.
<h3>What is Trapezium?</h3>
A trapezium is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.
The given trapezium is an isoceles trapezium. Therefore, the properties of the trapezium that are true for KLMJ are:
- KL is parallel to JM
- ∠J is supplementary ∠K
- ∠J is congruent to ∠M (Valid only for isoceles trapezium).
Hence, the option that is true for the trapezium is A, D, and E.
Learn more about Trapezium:
brainly.com/question/22607187
#SPJ1
Answer:
She factored out a 4 from the equation.
Step-by-step explanation:
So our original equation is 12x + 4 = 20x - 12
Anika's first steep of her equation is 3x + 1 = 5x - 3
We know that the terms were not moved around, so the first step was likely multiplication or division.
We also see that a 4 has been factored out of the entire equation, like this:
12x + 4 = 20x - 12
4(3x + 4) = 4(5x - 3)
And these 4's cancel each other out.
So, I conclude that Anika's first step was dividing the entire equation by 4 or factoring out a 4 from the equation.