A rectangular floor of area 21.6 m2 is going to be tiled. Each tile is rectangular, and has an area of 576 cm2. An exact number
2 answers:
Answer:
375
Step-by-step explanation:
You want to find a number n which fulfills
21.6 m2 = n * 576 cm2.
Be careful! The units are different on the left and right side of the equation.
If we change to m2 on the right side, than that means we have to divide by 10.000 becaus 1 m2 is equivalent to 10000 cm2.
(1 m2 = 1 m * 1 m = 100 cm * 100 cm = 10000 cm2)
That gives us
21.6 m2 = n * 0.0576 m2
Now divide both sides of the equation by 0.0576 m2 and we get
= n
375 = n
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Answer:
Height = 5 and Base = 10
Step-by-step explanation:
The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².
Formula for area of parallelogram = base × height
Base = 2h
Height = h
∴ Area = 2h × h = 50
Solution:
2h × h = 50
2h² = 50
h² = 25
h = 5
∴ height = 5 and base = 2(5) = 10
The two boundary curves y = √(6x + 4) and y = 2x meet at
√(6x + 4) = 2x
6x + 4 = 4x²
2x² - 3x - 2 = 0
(x - 2) (2x + 1) = 0
⇒ x = -1/2 and x = 2
R is bounded to the left by the y-axis (x = 0), so R is the set
R = {(x, y) : 0 ≤ x ≤ 2 and 2x ≤ y ≤ √(6x + 4)}
Using the shell method, the volume is made up of cylindrical shells of radius x and height √(6x + 4) - 2x. So each shell of thickness ∆x contributes a volume of
2π (radius) (height) ∆x = 2π x (√(6x + 4) - 2x) ∆x
and as we let ∆x approach zero, the total volume of the solid is given by the definite integral