Step-by-step explanation:
1)
2) the same value of the denominator of the fractions.
3) 4²*2²=16*4=64 or 4²*2²=(4*2)²=8²=64.
Megan's answer is correct.
4) if the given length is 2,25=9/4 (feet), then the length of each piece is 9/4 :3=3/4=0.75 (feet) or 3/4*12=9 (inches).
5) a. 4-6= -2; b. -4+6=2; c. -4-6= -10, so the required order is c<a<b.
6) A. -8+3= -5; B. -8*3= -24, so the greater value is (-5) - answer A.
7) if to calculate every option, then A. 2.3*6.5=14.95; B. 21.45-6.5=14.95; C. 8.32+6.63=14.95, - all of them are equal.
Answer:
cos 60° = 1/2 because the angles are complements.
Step-by-step explanation:
The multiples of 14 are 1,2,7,14
the multiples of 22 are 1,2,11,22
Therefore 2 is the GCF
-36 because 64-100 (separate the terms)
Answer:
a = 5.81 m
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2
where b= 1.5 and c= 6
a^2 +1.5^2 = 6^2
a^2 +2.25 = 36
Subtract 2.25 from each side
a^2 +2.25-2.25 = 36-2.25
a^2 = 33.75
Take the square root of each side
sqrt(a^2) = sqrt(33.75)
a = 5.809475019
We only take the positive root because length must be positive
