There will be three students left out
Answer:
B) { 51, 149, 140 }
C) { 16, 63, 65 }
Step-by-step explanation:
We need to choose Pythagoras theorem formula

now, we can verify each options
option-A:
a=1
b=1
c=1
now, we can verify formula


We can see that left side is not equal to right side
so, this is FALSE
option-B
a=51
b=140
c=149
now, we can verify formula


We can see that left side is equal to right side
so, this is TRUE
option-C
a=16
b=63
c=65
now, we can verify formula


We can see that left side is equal to right side
so, this is TRUE
option-D:
a=6
b=8
c=11
now, we can verify formula


We can see that left side is not equal to right side
so, this is FALSE
Answer:
The word "ARRANGE" can be arranged in
2!×2!
7!
=
4
5040
=1260 ways.
For the two R's do occur together, let us make a group of R's taking from "ARRANGE" and permute them.
Then the number of ways =
2!
6!
=360.
The number ways to arrange "ARRANGE", where two "R's" will not occur together is =1260−360=900.
Also in the same way, the number of ways where two "A's" are together is 360.
The number of ways where two "A's" and two "R's" are together is 5!=120.
The number of ways where neither two "A's" nor two "R's" are together is =1260−(360+360)+120=660.
Step-by-step explanation:
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Answer:
It should be D.
Step-by-step explanation:
The measure of the arc is given as π/2. See the explanation below.
<h3>What is an arc?</h3>
An "arc" is a curve that connects two points in mathematics.
It can also be depicted as a section of a circle. It is essentially a portion of a circle's circumference. An arc is a kind of curve.
<h3>What is the calculation for the above solution?</h3>
Note that the viewing angle is 45°.
Thus, the center angle is:
45 X 2 = 90°
Measure of the arc therefore is:
= (π/180°) x 90
= π/2
Learn more about arcs at:
brainly.com/question/2005046
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