Answer:
[(2)^√3]^√3 = 8
Step-by-step explanation:
Hi there!
Let´s write the expression:
[(2)^√3]^√3
Now, let´s write the square roots as fractional exponents (√3 = 3^1/2):
[(2)^(3^1/2)]^(3^1/2)
Let´s apply the following exponents property: (xᵃ)ᵇ = xᵃᵇ and multiply the exponents:
(2)^(3^1/2 · 3^1/2)
Apply the following property of exponents: xᵃ · xᵇ = xᵃ⁺ᵇ
(2)^(3^(1/2 + 1/2)) =2^3¹ = 2³ = 8
Then the expression can be written as:
[(2)^√3]^√3 = 8
Have a nice day!
Answer:
∠ XYZ = 41°
Step-by-step explanation:
∠ XYZ = ∠ 3x + 20 ( corresponding angles ) , thus
8x - 15 = 3x + 20 ( subtract 3x from both sides )
5x - 15 = 20 ( add 15 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
Thus
∠ XYZ = 8x - 15 = 8(7) - 15 = 56 - 15 = 41°
Answer:
The 3rd table
Step-by-step explanation:
The x values are dividing by 5 to get the y values. The table is proportional because it's a pattern not just random values.
Answer:
2/5
Step-by-step explanation:
Each side of OP'Q' is 2/5 of OPQ. Ex) OP = 10, OP' = 4.
Answer: 3.99797217..
Step-by-step explanation:
formula for the circumference is pi x diameter
divide circumference by pi
25.12/pi = 7.9959443...
divide that by two to get the radius which would be 3.997972...
