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ValentinkaMS [17]
3 years ago
13

How to solve #65 !! Help

Mathematics
1 answer:
andriy [413]3 years ago
3 0
Volume=l×w×h
volume= 1.2×1.2×1.2
Volume= 1.728cm
I believe this is the correct volume
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This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down
AnnZ [28]

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = \frac{1}{2}× (sum of sides)× height

                             =  \frac{1}{2}× (0.6 + 1.4)× 2

                             =  \frac{1}{2}× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = \frac{1}{100} m = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in \frac{30}{0.4} = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

5 0
3 years ago
Rename 476,000 thousands
lozanna [386]

Answer:

Four hundred seventy six thousand

Step-by-step explanation:

I think this is what you mean. If not, let me know. Thank you:))

5 0
3 years ago
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Whos the best airbender ever lol
Sholpan [36]

Answer:

me

Step-by-step explanation:

5 0
3 years ago
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What is the ratio value shown by this double number line?
OlgaM077 [116]
The answer is 21/6




Explanation: the next number in the pattern would be 21 since this is linear
5 0
3 years ago
1. This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? S
White raven [17]

Answer:

29.92 m² (nearest hundredth)

Step-by-step explanation:

\textsf{Area of a sector}=\dfrac{\theta}{360\textdegree}\pi r^2

\implies \textsf{area}=\dfrac{30}{360\textdegree}\pi \cdot 5.5^2=\dfrac{121}{48}\pi \textsf{  m}^2

Area of rectangle = width × length

⇒ area = 4 × 5.5 = 22 m²

Total area = area of sector + area of rectangle

⇒ total area = \dfrac{121}{48}\pi +22 = 29.91943148... = 29.92 m² (nearest hundredth)

6 0
2 years ago
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