-- The area of the entire yard, before the garden was planted, was
(side)² = (20x)² = 400 x² .
-- The area of the circle where garden was put in is
pi R² = (pi) · (4x)² = 16 pi x² .
-- The remaining area of the yard ... the part not covered by
the circular garden ... is
(400x²) - (16pi x²) = x² (400 - 16pi)
= 349.7 x² square units.
It's 1200 meters. It's 1200 because the block is moving 3 times from the bicycle shop to the hotel. (400 x 3 = 1200)
Hope this helped!!
Answer:
125
Step-by-step explanation:
x + y = 5
We need to have x^3 and y^3 in the expression, so cube both sides.
(x + y)^3 = 5^3
Expand the left side.
(x + y)(x + y)^2 = 125
(x + y)(x^2 + 2xy + y^2) = 125
x^3 + 2x^2y + xy^2 + x^2y + 2xy^2 + y^3 = 125
x^3 + 3x^2y + 3xy^2 + y^3 = 125
Now we need to separate x^3 + y^3.
x^3 + y^3 + 3x^2y + 3xy^2 = 125
We need to turn 3x^2y + 3xy^2 into 15xy.
Factor the GCF, 3xy, out of 3x^2y + 3xy^2.
x^3 + y^3 + 3xy(x + y) = 125
We know that x + y = 5, so substitute x + y with 5.
x^3 + y^3 + 3xy(5) = 125
x^3 + y^3 + 15xy = 125
Answer: 125
The answer is the second choice. First find the percentage of boys who prefer green which is 33%. Then find the percentage of girls who prefer red which is 36%.
