Answer:
rational
irrational
rational
Step-by-step explanation:
2 × 2 = 4 rational
2 × √2 = 2√2 irrational
√2 × √2 = √4 = 2 rational
Answer:
10.2
Step-by-step explanation:
Length of arc=(2*pi*r)*(theta/360)
Length of arc=(2*pi*3)*(195/360)=10.2
9514 1404 393
Answer:
The triangle is not acute because 2² + 4² < 5²
Step-by-step explanation:
The square of the hypotenuse of a right triangle with the given short sides would be 2² +4² = 20. So, that hypotenuse would be √20, about 4.47. The long side of this triangle is longer than that, so the angle opposite is larger than 90°. The triangle with sides 2, 4, 5 is an obtuse triangle.
The triangle is not acute because 2² + 4² < 5²
Answer:
A: two expressions equivalent to 3(m + 5 + 9m) are 3(5 + 10m) and (3m + 15 + 27m)
B: 3(m + 5 + 9m) = 3(5 + m + 9m) = 3(5 + 10m) [associative property]
3(m + 5 + 9m) = (3m + 15 + 27m) [distributive]
C: Let m = 2: 3(m + 5 + 9m) = 3(2 + 5 + 9(2)) = 3(7 + 18) = 3(25) = 75
3(5 + 10m) = 3(5 + 10(2)) = 3(5 + 20) = 3(25) = 75
3m + 15 + 27m = 3(2) + 15 + 27(2) = 6 + 15 + 54 = 75
