Answer:
(x, y) = (7, 4) meters
Step-by-step explanation:
The area of the floor without the removal is x^2, so with the smaller square removed, it is x^2 -y^2.
The perimeter of the floor is the sum of all side lengths, so is 4x +2y.
The given dimensions tell us ...
x^2 -y^2 = 33
4x +2y = 36
From the latter equation, we can write an expression for y:
y = 18 -2x
Substituting this into the first equation gives ...
x^2 -(18 -2x)^2 = 33
x^2 -(324 -72x +4x^2) = 33
3x^2 -72x + 357 = 0 . . . . write in standard form
3(x -7)(x -17) = 0 . . . . . factor
Solutions to this equation are x=7 and x=17. However, for y > 0, we must have x < 9.
y = 18 -2(7) = 4
The floor dimension x is 7 meters; the inset dimension y is 4 meters.
we need some barriers such that total of length of all barriers should equal to the circumference of the circle.
so lets assume we need x barriers
then total length of all barriers = 2.5x meter
now radius of circular path = diameter / 2= 13/2 = 6.5 meter
circumference of path = 2× pi × r = 2 × 3.14 × 6.5
=40.82 meter
so now as per statement
2.5x = 40.82
x = 40.82/2.5 = 16.328 ≈ 17
so approximately 17 barriers are required
Sam painted 3
ellie painted 2x3, so she painted 6
6+3=9
together they painted 9 pictures
Finding the slope of both coordinates, you'll get 15/2. The slopes are the same
Answer:
.
Step-by-step explanation:
Given information:
According to the Pythagoras theorem,
Using Pythagoras theorem, we get
Taking square root on both sides.
Hence, the expression of the hypotenuse is .
