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svlad2 [7]
2 years ago
7

Please help and I will give most points available

Mathematics
1 answer:
Scilla [17]2 years ago
5 0

Answer:

The picture isn't clear enough for me to read it cld u take another pic

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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
How many apples are left in the tree if you started with 18 and ended with 11
ruslelena [56]

Answer:

Wouldn't it be 11? If the tree starts with 18 apples, and ends with 11, then that's it, it ends with 11 apples.

unless you just mis-typed, and meant 18-11. 7 would be the answer.

Step-by-step explanation:

7 0
3 years ago
100 POINTS ANSWER FAST NO BEGINNERS OR AMBITIOUS, VIRTUOSO AND UP ONLY
Flauer [41]
I hope this helps you

8 0
3 years ago
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What is the horizontal asymptote of the graph of f(x) = 4×5^x
Iteru [2.4K]

Answer:

The horizontal asymptote is y=0

5 0
3 years ago
Write 1\3(12x-6)+6 in standard form
AlladinOne [14]
Try math way . com  , its free and lets you enter all different types of problems!!
7 0
3 years ago
Read 2 more answers
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