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aleksley [76]
3 years ago
11

Simplify the expression, 728x6−−−−√−563x6−−−−√ . Assume all variables are positive.

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
3 0

Answer:-3x\sqrt{7}

Step-by-step explanation:

Don't have much of one, but just took test

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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
What is 15 minutes before 4:35? what time would that be? pls answer today!!!
Andrews [41]

Answer:

4:20

Step-by-step explanation:

35-15= 20

7 0
3 years ago
Read 2 more answers
change the precent to a fraction 120% (simplify your answer) show work with this and steps on the side
storchak [24]
Here are my steps 11/5= 2 1/5
4 0
3 years ago
Solve and check: 5 - 6 = -3<br> k
xxTIMURxx [149]

5 - 6 =  - 3k \\  - 1 =  - 3k \\  \frac{1}{3}  = k
First, we combine the terms on the left side of the equation to simplify the equation. Then we divide both sides by -3. k then equals 1/3.
To check, we plug in our value for k into the original equation:
5 - 6 =  - 3k \\ 5 - 6 =  - 3( \frac{1}{3} ) \\  - 1 =  - 1
We found k to be 1/3, so for every instance of k, we plug in 1/3. To simplify, we combine the left side to get -1, and we combine the right side to get -1.
Since -1 = -1, our solution is correct.
3 0
3 years ago
Write True or False:
Leokris [45]

Step-by-step explanation:

2. is false next answer by next person

5 0
3 years ago
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