Y = x
get another answer to be sure
A. The square of an irrational number \sqrt(11)=\sqrt(11)*\sqrt(11)=\sqrt(11^2)=11, which is a rational number. However, in B, C, and D, the two pair of rational numbers cannot multiply to become a rational number.
Hanging a banner diagonally across the wall makes it so that two triangles form. The hypotenuse of both triangles is the length of the banner. To find the hypotenuse, we use the pythagorean theorem.
Work is handwritten. The answer is 26 ft.
Answer:
34 cm
Step-by-step explanation:
The nth term of a geometric progression Tₙ = arⁿ⁻¹ where a = first term, and r = common ratio.
Given that our first term, T₁ = ar¹⁻¹ = a = 121 cm and our third term T₃ = ar³⁻¹ = ar² = 64 cm
Then, T₃/T₁ = ar²/a = r²
r² = T₃/T₁
r² = 64 cm/121 cm
r = √64/121
r = 8/11
So, the height of our fifth bounce T₅ = ar⁵⁻¹
= ar⁴
= 121 cm × (8/11)⁴
= 121 × 4096/14641
= 4096/121 cm
= 33.9 cm
≅ 34 cm to the nearest cm