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.
Answer:
Diameter of pipe = D = 64mm
cross sectional Area of pipe= A = pi * (D/2)^2 = pi * (32)^2 = 1024pi mm^2
Discharge Rate of water = v = 2.05 mm/s
Volume of Cylinder = V = pi * (D/2)^2 * h = pi * (38)^2 * 2300 = 3321200pi mm^3
(Area of pipe)*(Rate) = (Volume) / (Time)
Time = T = (Volume) / [(Area of pipe)*(Rate)]
= (3321200pi)/(1024pi * 2.05)
= 1582.126524s
Given the the two angles find the missing angle of P which is 30 degrees.
Since angle P and C are identical their sides are congruent.
The hypotenuse, the largest side is PC because it corresponds to angle T
Using Pythagorean Theorem
a^2 + b^2 = c^2
(PT)^2 + (CT)^2 = (PC)^2
Given that PT is 4 and knowing PT and CT are congruent we can rewrite this
(4)^2 + (4)^2 = (PC)^2
PC = rad(32)
Someone fact check plz
Answer:given below
Step-by-step explanation:
sqrt x^2 +81= x + 10
x^2 + 81 = (x+10)^2
x^2 + 81 = x^2 + 20x + 100
so answer is:
x^2 + 81 = x^2 +20x + 100
..HOPE IT HELPS YOU...ALL THE BEST
Answer:
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