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Bas_tet [7]
3 years ago
9

What's the answer to this question

Mathematics
1 answer:
frutty [35]3 years ago
6 0

Step-by-step explanation:

there are several things to be considered to solve this.

the strategy is to caucuses the volume of the full "box", and then to deduct the 3-dimensional triangle that is "cut off" from the oil.

then we know the volume of the pool.

next step is to calculate the volume of a "box" with the same layout but is only 20 cm deep.

then we know how much volume can be pumped out in 30 minutes.

and then we divide the whole volume by that small volume to see how many 30-minues units are needed to empty the whole pool.

and then we transform the 30- minutes units into actual minutes or hours.

so, let's begin :

the whole box's volume is

2×1×1.4 = 2.8 m³

the volume of the 3-D triangle we need to subtract is the area of the triangle × width of the pool (this pool width is the height of the 3-D triangle).

2×(1.4 - 0.6) × 1 / 2 = 2×0.8 × 1 / 2 = 1.6/2 = 0.8 m³

so, the volume of the pool is

2.8 - 0.8 = 2 m³

now, how much volume can the pump eliminate in 30 minutes ?

the content of a box

1×2×0.2 = 0.4 m³

as 20 cm = 0.2 m

so, the pump pumps out 0.4 m³ in 30 minutes.

and we need to empty 2 m³.

that means we need

2 / 0.4 = 5

30-minues units = 5×30 = 150 minutes = 2.5 hours.

Colin has to wait 2.5 hours (150 minutes) to empty the complete pool.

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a game consists of randomly choosing a bag (labelled 1, 2 or 3) out of a choice of 100, and then again randomly, picking a ball
Anton [14]

Answer:

hello your question has some missing information attached below is the missing information

answer :  112 black balls

Step-by-step explanation:

Given data:

Each bag contains ; 10 balls

Total number of ball = 100 balls

<u>first: calculate the number of Black balls to be picked from the three bags</u>

From bag 1 = 0.4 * 0.35 * 10 = 1.4 balls

From bag 2 =  0.8 * 0.45 * 10 = 3.6 balls

From bag 3 = 0.3 * 0.2 * 10 = 0.6 ball

Total black balls picked = 5.6

∴ percentage of black balls picked given that each bag contains 10

5.6 / 10 * Total balls available  =  56 balls = 56% of 100 balls

Hence If the player plays this game 200 times the number of black balls he will pick = 56% * 200 =  112 balls

4 0
3 years ago
Anyone know this ???
mr Goodwill [35]

Answer:

B and C

Step-by-step explanation:

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7 0
2 years ago
15 points!!! HELP AS SOON AS YOU CAN !!!
katrin [286]

Answer:

-31 1/3 (answer choice 1)

Step-by-step explanation:

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5 0
3 years ago
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amber wants to put tile on the back special for kitchen counter she will need 36 square feet of tile.she will use basic tile tha
Komok [63]

Answer: Amber use 30 feet of basic tiles and 6 feet of decorative tiles.


Step-by-step explanation:

Let x be the foot  of basic tiles and y be the foot of decorative tiles.

Now, according to the question, we have the following equations

x+y=36\\y=36-x\ .......(1)\\\\8x+20y=36\times10\\2x+5y=90.......(2)\ \ \ [\text{divide equation by 4}]

Put y=36-x in (2), we get

2x+5(36-x)=90\\\Rightarrow2x+180-5x=90\\\Rightarrow-3x=-90\\\Rightarrow\ x=30\\\\\Rightarrow\ y=36-30=6

Hence, Amber use 30 feet of basic tiles and 6 feet of decorative tiles.

5 0
3 years ago
Which statement is always true about the measures of alternate interior angles?
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N/A

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