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kupik [55]
3 years ago
14

Please help Me with this!

Mathematics
1 answer:
mojhsa [17]3 years ago
5 0
Mph.

3 2/3 = 1/2 an hour

3 2/3 x 2 = 1 hour

3 2/3 = 11/3

11/3 x 2 = 22/3

22/3 = 7 1/3

Another way is:

3 2/3 + 3 2/3

3 + 3 = 6

2/3 + 2/3 = 4/3 = 1 1/3

6 + 1 1/3 = 7 1/3
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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
2 years ago
How does the value of the digit 2 in the number 32,000 compare with the value of the digit 2 in the number 26,000?
julsineya [31]

Answer:

the second value is ten times higher then the refference one

6 0
3 years ago
If a staff of 9 people had to clean a hotel with 198 rooms, how many would each person have to clean if they devided the rooms e
dedylja [7]
You would divide 198 by 9.
198÷9=22
Each person would clean 22 rooms.
5 0
3 years ago
What’s this I don’t know
avanturin [10]

Answer:

C.

Step-by-step explanation:

its C.

7 0
2 years ago
Solve the equation: <br> 8x + 6 – 9x = 2 - X + 4
nataly862011 [7]
8x+6-9x= 2-x+4
8x+6+-9x=2+-x+4
(8x + -9x) + (6) = (-x) + (2+4) (combine like terms)
-x+6= -x+6
-x+6+x=-x+6+x
6-6=6-6
0=0
4 0
3 years ago
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