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zmey [24]
3 years ago
15

This is a pond in the shape of a prism. It is completely full of water

Mathematics
1 answer:
UkoKoshka [18]3 years ago
4 0

Kindly check picture to the question below.

Answer:

150 minutes

Step-by-step explanation:

Volume of prism = height * base area

Height of prism = 1m

Base area = area of a trapezium

Area of trapezium = 0.5(a + b) h

a, b = parallel sides, h= height of trapezium

Area of trapezium = 0.5(1.4+0.6)*2

Area = 0.5(2)*2 = 2m²

Hence,

V of prism = area of trapezium * height of prism

Volume = 2m² * 1m = 2m³

Decrease in water level due to pumping

20cm decrease in 30minutes

(20/100)m in 30 minutes

0.2 m decrease in height of water

Hence, height of water in prism after 30 minutes pumping :

height - 0.2 = 1 - 0.2 = 0.8m

Volume after 30 minutes of pumping :

Base area * new height

2m² * 0.8m = 1.6m³

Decrease in volume over 30 minutes :

(Initial volume - volume after pumping)

2m³ - 1.6m³ = 0.4m³

If ;

0.4m³ = 30 minutes

1.6m³ = x

0.4x = 48

x = 48 / 0.4

x = 120

Hence, it takes 120 minutes for the remaining 1.6m³ to be emptied.

Hence, total wait time :

120 minutes + 30 minutes

= 150 minutes

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If Connor edits 34 pages in 8 hours. Using the equivalent ratios, the table has been completed.

The equivalent ratios are the ratios that has same value when we compare them. We can check two or more ratios and check whether they are equivalent or not.

Connor edits 34 pages in 8 hours

Number of pages he edits in 8 hours = 34 pages

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

Sleep is undoubtedly one of the most essential requirements for the human body to function properly. It plays a very important role in ensuring the wellness of the human body, both physically as well as mentally. In fact, the importance of sleep is clear from the fact that it helps you with maintaining a good lifestyle throughout your entire lifetime. Not only does it help you maintain your physical and mental health, it also helps in maintaining a decent and healthy lifestyle along with ensuring safety from a number of fatal diseases.

It is usually said that the mood in which you wake up is largely dependent on the type of sleep you have been in. This, in itself, is proof of the importance of sleep in our lives. While sleeping, our body finally gets its share of rest, and it also gets ample time to rejuvenate from all the wear and tear that it went through during the entire day. Not only this, the body is in its own working condition when we are sleeping, as this is the time when it supports the healthy functioning of the brain as well as physical attributes of our body. How many times have you been suffering from a headache, and then you slept for some time and found the pain to have vanished? This is the effect that a sound sleep session has on your mind as well as body.

Sleep is not only important for grown-up individuals and people who go to work, but it is also very essential for small babies and children in their growing-up years, as well. In small children, sleep supports the growth as well as development of their minds and bodies, and hence is a non- negotiable activity necessary for all human beings.

Sleep is undoubtedly one of the most essential requirements for the human body to function properly. It plays a very important role in ensuring the wellness of the human body, both physically as well as mentally. In fact, the importance of sleep is clear from the fact that it helps you with maintaining a good lifestyle throughout your entire lifetime. Not only does it help you maintain your physical and mental health, it also helps in maintaining a decent and healthy lifestyle along with ensuring safety from a number of fatal diseases.

It is usually said that the mood in which you wake up is largely dependent on the type of sleep you have been in. This, in itself, is proof of the importance of sleep in our lives. While sleeping, our body finally gets its share of rest, and it also gets ample time to rejuvenate from all the wear and tear that it went through during the entire day. Not only this, the body is in its own working condition when we are sleeping, as this is the time when it supports the healthy functioning of the brain as well as physical attributes of our body. How many times have you been suffering from a headache, and then you slept for some time and found the pain to have vanished? This is the effect that a sound sleep session has on your mind as well as body.

Sleep is not only important for grown-up individuals and people who go to work, but it is also very essential for small babies and children in their growing-up years, as well. In small children, sleep supports the growth as well as development of their minds and bodies, and hence is a non- negotiable activity necessary for all human beings.

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3 years ago
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