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salantis [7]
3 years ago
12

Simplify (5 + 5)squared - 17-3

Mathematics
1 answer:
ki77a [65]3 years ago
3 0
(5+5)²-17-3
(25)²-17-3
625-17-3
605
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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
HELPPPPPPP!!!!!!!! I have been asking these questions and I am stuckkkkkk
zlopas [31]

Answer:

really <em> </em><em>o</em><em>h</em><em>.</em><em>.</em><em> </em><em>s</em><em>o</em><em>r</em><em>r</em><em>y</em><em> </em><em>d</em><em>u</em><em>d</em><em>e</em><em />

6 0
2 years ago
In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint
NeTakaya

Step-by-step explanation:

Given: X is midpoint of UV and Y is midpoint of VW.

\therefore XY || UW

(By mid-point theorem)

\therefore \angle XYV \cong \angle UWY\\.. (corresponding\: \angle 's) \\\therefore m\angle XYV = m\angle UWY\\\therefore 98 - 6x = 63- x\\\therefore 98 - 63= 6x- x\\\therefore 35= 5x\\\\\therefore x = \frac{35}{5}\\\\\huge \orange {\boxed {\therefore x = 7}} \\\\m\angle UWY = (63 - x) °\\\\\therefore  m\angle UWY = (63 - 7) °\\\\\huge \purple {\boxed {\therefore  m\angle UWY = 56 °}}

5 0
3 years ago
$37.29 for 2 pairs of jeans
defon
Each pair of jeans is 18.645 or 18.65. This is because if you get to pairs for 37.29, then half of that is equal to 1 pair of jeans.
8 0
3 years ago
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How do you simplify the following
Fed [463]
It is 2i I standing for imaginary since it is a negative

square root of -1×4

4 square rooted is 2

and a negative number square rooted is i
8 0
3 years ago
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