Answer:
we have centre of circle as (30,40) and radius = 1
Step-by-step explanation:
Given that a car is moving on a circle on a plane.
At time t (seconds),

and


when we square and add both the equations we get

(since sin square + cos square = 1 always)
i.e. we have centre of circle as (30,40) and radius = 1
Answer:
The width of the building is 50 lamps and 60 lamps will be needed.
Step-by-step explanation:
The perimeter is computed by the sum of the sides of the building, since the length and width are equal on the oposite sides of the building, the perimeter is given by:
perimeter = 2*length + 2*width
900 = 2*(400) + 2*width
2*width + 800 = 900
2*width = 900 - 800
2*width = 100
width = 100/2 = 50 feets
To know how many lights bulbs will be needed we need to take the perimeter of the building and divide it by the space between the lamps. We have:
number o lamps = 900/15 = 60 lamps
Answer:
5x^3 + 16x - 2y^3
Step-by-step explanation:
7x + y^3 + 7x^3 + 6x - 3y^3 - 2x^3 + 3x
group like terms
= 7x^3 - 2x^3 + 7x + 6x + 3x + y^3 - 3y^3
add similar items
= 5x^3 + 7x + 6x + 3x + y^3 - 3y^3
add similar items
= 5x^3 + 16x + y^3 - 3y^3
add similar items
= 5x^3 + 16x - 2y^3
1/2 × 1/2
1/4 or 25%
probability of tails both times