8) Which square root is NOT a whole number? A) 121 B) 144 C) 169 D) 184
2 answers:
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We have that
<span>y=2sinx-cosx
y=cosx
</span>over the interval 0≤x≤pi/2-------> 0≤x≤1.57
using a graph tool
see the attached figure
the solution in the given interval is the point (pi/4, 0.707)
the y-value of the point of intersection is 0.707 -----> √2/2
the answer is the option
<span>b. (square root of 2)/2</span>
<span>y=2sinx-cosx
y=cosx
</span>over the interval 0≤x≤pi/2-------> 0≤x≤1.57
using a graph tool
see the attached figure
the solution in the given interval is the point (pi/4, 0.707)
the y-value of the point of intersection is 0.707 -----> √2/2
the answer is the option
<span>b. (square root of 2)/2</span>
QUESTION 1.
The factors of 54 are all natural numbers that can divide 54 exactly.
The factors of 54 are: {1,2,3,6,9,18,27,54}
QUESTION 2
The prime factors of 54 are factors of 54 that are prime numbers.
The prime factors of 54 are {2,3}.
Product of prime factors of 54 is
QUESTION 3
All the factors of 60 are all positive integers that divide exactly into 60.
The factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}
QUESTION 4
The prime factors of 60 are factors of 60 that are prime numbers.
The prime factors of 60 are {2,3,5}
The prime factorization of 60 is .
QUESTION 5
The factors of 30 are {1,2,3,5,6,10,15,30}
The different ways she can put the beads into the boxes are
,
All 30 beads into one box or 1 bead in 30 boxes.
,
2 beads each into 15 boxes or 15 beads each into 2 boxes
,
3 beads each into 10 boxes or 10 beads each into 3 boxes
,
6 beads each into 5 boxes or 5 beads each into 6 boxes