Answer:
144
Step-by-step explanation:
Abigail wants to produce a tapestry that will be in the shape of a parallelogram
The tapestry is 24 inches across the bottom and 36 inches tall
She pieces smaller simlar parallelograms that are 2 inches wide and 3 inches tall
The first step is to find the area of the whole tapestry
Area = base × height
Base= 24 inches
Height= 36 inches
Area= 24×36
= 864 square inches
The next step is calculate the area of the smaller pieces
Area= base × height
Base= 2 inches
Height= 3 inches
Area= 2×3
= 6 square inches
Therefore, the value needed to produce the tapestry can be calculated by dividing the area of the whole tapestry by the area of the smaller pieces
= 864/6
= 144
Hence Abigail will need 144 smaller similar parallelograms to make the tapestry.
Answer:
Step-by-step explanation:
((X)^1/2 )^1/3 = x^(1/2 ×1/3)= x^1/6
that what you need to prove
Answer:
0.1
Step-by-step explanation:
r = y/x
r = 1.4 / 14 = 0.1
Assuming Earth's gravity, the formula for the flight of the particle is:
s(t) = -16t^2 + vt + s = -16t^2 + 144t + 160.
This has a maximum when t = -b/(2a) = -144/[2(-16)] = -144/(-32) = 9/2.
Therefore, the maximum height is s(9/2) = -16(9/2)^2 + 144(9/2) + 160 = 484 feet.
