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MArishka [77]
3 years ago
11

Carlos is 8 years older than his sister Maria. Four years ago Maria was two thirds as old as Carlos. How old are they now

Mathematics
1 answer:
omeli [17]3 years ago
3 0
Carlos is 28 and Maria is 20 years old
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If Qr=58 and pq=13 find pr
Oksanka [162]

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PR=71

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visualize:

P                Q               R

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6 0
3 years ago
A gas station stores its gasoline in a tank underground. The tank is a cylinder lying horizontally on its side. The radius is 5
atroni [7]

Answer:

The exact work required to pump all the gasoline to the surface of the ground is π × 5.094 × 10⁶ j

Step-by-step explanation:

Here, we note that volume of a slice is given by

Length × Width × Height

Length of slice = Length of cylinder = 15 ft

Since the slice height is Δy ft thick and located y ft above the center of the cylinder, then

Width of slice = 2 × √(r² - y²)

Where:

r = Radius of the cylinder =5 ft

∴ Width of slice = 2 × √(25 - y²)

∴Volume of slice = 15 ×2 × √(25 - y²)×Δy

Mass of slice then = 42 × 15 ×2 × √(25 - y²)×Δy = 1260 × √(25 - y²)×Δy

The force required to lift the slice is the weight of the slice, which is given by

32.2 × 1260 × √(25 - y²)×Δy = 40572 × √(25 - y²)×Δy N (Newtons)

The work done by the force is the product of the force and the distsnce through which the force acts.

Work done = 40752×(10-y) × √(25 - y²)×Δy

Therefore total work done is given by

W = \int\limits^5_{-5} {40752\times (10-y) \times \sqrt{ (25 - y^{2} )} } \, dy

 

= 5094000·π J = π × 5.094 × 10⁶ j

The exact work required to pump all the gasoline to the surface of the ground = π × 5.094 × 10⁶ j

6 0
3 years ago
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