At what depth will the pressure exerted on a man be twice that of the pressure at the surface if water?​

Answers

Answer 1

Answer:

The depth of water at which the pressure on a man will be twice that of the pressure at the surface is approximately 10.36 meters

Step-by-step explanation:

The pressure, P, in a fluid (liquid or gas) is given by P = ρ·g·h

Where;

ρ = The density of the fluid

g = The acceleration due to gravity ≈  9.81 m/s²

h = The depth of the body in the fluid

The pressure at the surface of water = The atmospheric pressure = 101,325 Pa

The pressure on a man in water will be twice the pressure at the water surface (the atmospheric pressure) when the pressure due to the water is equal to the atmospheric pressure as follows;

Pressure on man = Pressure due to water + Atmospheric pressure = Twice the atmospheric pressure

∴ Pressure due to water  = 2 × Atmospheric pressure - Atmospheric pressure = Atmospheric pressure

Pressure due to water, P  = Atmospheric pressure = 101,325 Pa

The depth of water, h = P/(ρ·g)

The density of water, ρ = 997 kg/m³

∴ h ≈ 101,325 Pa/(997 kg/m³ × 9.81 m/s²) ≈ 10.36 meters

The depth of water at which the pressure on a man will be twice that of the pressure at the surface, h ≈ 10.36 meters.


Related Questions

Consider this graph of a quadratic function.
Type the correct answer in each box.
The shape of the graph is called a
The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers
greater than or equal to
When x = -1, f(x) =

Answers

Answer:he's right

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the systems of equations to their solutions.

Answers

Answer:

Step-by-step explanation:

1). 2x + y = 12 -----(1)

   x = 9 - 2y -------(2)

   By substituting the value of x from equation (2) to equation (1)

   2(9 - 2y) + y = 12

   18 - 4y + y = 12

   18 - 3y = 12

   3y = 18 - 12

   y = 2

   By substituting the value of x in equation (2)

    x = 9 - 2(2)

    x = 9 - 4

    x = 5

2). x + 2y = 9 ------(1)

    2x + 4y = 20

    x + 2y = 10 -------(2)

    Since, both the equations are the parallel equations,

    Therefore, No solutions will be the answer.

3). x + 3y = 16 -------(1)

    2x - y = 11 ---------(2)

    Multiply equation (2) by 3 the add to equation (1)

    6x - 3y + (x + 3y) = 16 + 33

    7x = 49

     x = 7

     From equation (1),

     7 + 3y = 16

     3y = 9

     y = 3

4). y = 11 - 2x -------(1)

    4x - 3y = -13 -------(2)

    By substituting the value of y from equation (1) to (2),

    4x - 3(11 - 2x) = -13

     4x - 33 + 6x = -13

     10x = 33 - 13

     10x = 20

     x = 2

      From equation (1)

     y = 11 - 2(2)

    y = 7

5). y = 10 + x -------(1)

    -3x + 3y = 30

    -x + y = 10

     y = 10 + x ------(2)

    Equations (1) and (2) are same.

    Therefore, Infinite solutions will be the answer.

6). 2x + y = 11 --------(1)

    x - 2y = -7 ---------(2)

    Multiply equation (1) by 2 then add to equation (2)

    4x + 2y + (x - 2y) = 22 - 7

    5x = 15

    x = 3

    From equation (2)

    3 - 2y = -7

    2y = 3 + 7

     y = 5

Find the probability of rolling a three first and then a six when a pair of dice is rolled twice.


a. 1/18

b. 5/648

c. 1/54

d. 5/324

Plz help me

Answers

Answer:

5 / 648

Step-by-step explanation:

Given tbe sample space for a pair of dice attached below :

Sample space for a pair of dice = 6² = 36

Rolling a 3 first :

Recall, probability = required outcome / Total possible outcomes

P(rolling a 3). = 2 / 36 = 1 /18

Probability of rolling a 6 (second roll)

P(rolling a 6) = 5 / 36

Hence,

P(3) then P(6) ;

1 / 18 * 5/36 = 5 / 648

Write a pair of integers whose sum gives: a) a negative integer
b) zero
c) an integer smaller than the both integers

Answers

Answer:

a) 4-5 = -1

b) -6+6 = 0

c) 6+(-4) = 2

Let u = <-7, -2>. Find 4u.

Answers

Answer:

<-28, -8>

Step-by-step explanation:

you multiply the values by 4 because that's what the question tells you to do.

if <-7,-2>=u and it's asking for 4u, then the answer is the solution to the equation 4(<-7,-2>)

A solid wooden block in the shape of a rectangular prism has a length, width and height

Answers

Step-by-step explanation:

Volume of the block

[tex] = lbh[/tex]

[tex] = \frac{3}{8} \times \frac{1}{8} \times \frac{5}{8} [/tex]

[tex] = \frac{3 \times 5}{ {8}^{3} } [/tex]

[tex] = \frac{15}{512} [/tex]

Question 17 (5 points)
Determine the value of x in the isosceles trapezoid.
2x
х
x = 60°
x= 65°
x= 180°
*= 90°

Answers

x=65. helpshdidnskdndikdndod disks djdnd

Solve for F (15 Points)

Answers

the answer will be f=- 15/4

Answer:

f = - [tex]\frac{15}{4}[/tex]

Step-by-step explanation:

Given

f + [tex]\frac{1}{4}[/tex] = - [tex]\frac{7}{2}[/tex]

Multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions

4f + 1 = - 14 ( subtract 1 from both sides )

4f = - 15 ( divide both sides by 4 )

f = - [tex]\frac{15}{4}[/tex]

Evaluate the expression -4 ( n - 6) + m when n = -5 and m = 2? Show your steps

Answers

Answer: -42

Step-by-step explanation:

-4(n-6)+m

and then they give you the values of each

basically what you do is put the value of m into where it shows on the equation as well as the n.

-4(-5-6)+2 and then you should get

-42

write twelve thousand twelve hundred and twelve in numbers ​

Answers

Answer:

12, 120,012

Step-by-step explanation:

please help so I can watch Coop and Cami ask the world

Answers

Step-by-step explanation:

Simple interest=principal x rate x time÷100

amount borrowed=$500

I=$500x7x6÷100

I=$210

therefore you will pay

amount borrowed+interest

$500+$210

$710

hope this is helpful

what is the length of segment LM?

Answers

SolutioN :-

Here we are provided with a diagram of a triangle. We need to find out the length of the segment LM . As we can see that ,

∆ KNL ≈ MNL , [ By AAS ]

Therefore ,

KN = MN ( by cpct )

⇒ KN = MN

⇒ 14x - 3 = 25

⇒ 14x = 25 + 3

⇒ 14x = 28

x = 2

Put this x = 2 in LM :-

⇒ LM = 9x + 5

⇒ LM = 9*2 + 5

⇒ LM = 18 + 5

LM = 23

Hence the required answer is 23 .

can someone please help me with this question? I have been stuck on it for a while now​

Answers

Answer:

w = 12 cm  and l = 20 cm

Step-by-step explanation:

if 5 miles is 8km . Convert 33.7 km into miles

Answers

Answer:

20.94021

Step-by-step explanation:

mark me brainlist

Answer:

53.92

Step-by-step explanation:

5 miles =  8 km

1 miles = 1.6 km

33.7 x 1.6 = 53.92

Xavier leans a 28-foot ladder against a wall so that it forms an angle of 69 degrees with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer:

[tex]\approx 26.14[/tex]

Step-by-step explanation:

In this problem, one is given a right triangle, with the length of the hypotenuse given and one of the angles in the triangle. One is asked to find the length of one of the legs. In this situation, one can use right-angle trigonometry. Right angle trigonometry has the following ratios,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Please note that the sides named (opposite) and (adjacent) are subjective depending on the angle of reference. The side named (hypotenuse) is the side opposite the right angle, its name does not change. In this case, one is given an angle measure and the measurement of the hypotenuse. One is asked to find the length of the side opoosite this angle. One should use the ratio of sine (sin) to achieve this.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

Substitute,

[tex]sin(69)=\frac{opposite}{28}[/tex]

Inverse operations,

[tex]28(sin(69))=opposite[/tex]

[tex]26.14\approx opposite[/tex]

Answer:

26.14

Step-by-step explanation:

Help me out please, thanks

Answers

Hello!

f(x) = x² + 12x <=>

<=> a = 1, b = 12 <=>

<=> x = -12/2×1 <=>

<=> x = -6 <=>

<=> f(-6) = -36 <=>

<=> (-6; -36)

Good luck! :)

Please helped timed question. Solve for a, b, and A. Round to the nearest tenth.

Answers

Answer:

[tex]\angle A=90-72[/tex]

[tex]\angle A=18[/tex]

---------------

[tex]sin~72=\frac{b}{11}[/tex]

[tex]11\times sin~72=6[/tex]

[tex]b=10.5[/tex]

----------------

[tex]11\times cos~72=a[/tex]

[tex]a=3.4[/tex]

----------------

ANSWER:

a=3.4

b=10.5

∠A=18

-----------------------

hope it helps...

have a great day!!

A tailor had 5000 buttons.He sawed 9 buttons on each shirt and had 2048 buttons left.Then,he sold all shirts at $36 each.find the total amount collected by the tailor?​

Answers

Answer: $11,808

Step-by-step explanation:

5000 - 2048 = 2952

By subtracting the total number of buttons by the number of buttons left, it can be calculated that the tailor used a total of 2952 buttons.

Each shirt has 9 buttons, therefore the number of shirts can be calculated as:

2952 ÷ 9 = 328.

Since the shirts sold at $36 each and there are 328 shirts made, the total amount can be calculated as $36 · 328 = $11,808

(I hope this is right :\)

The total amount collected by the tailor  $11,808.

What is division?

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

A tailor had 5000 buttons.

He sawed 9 buttons on each shirt and had 2048 buttons left.

Then, he sold all shirts at $36 each.

now,

5000 - 2048 = 2952

By subtracting the total number of buttons by the number of buttons left, it can be calculated that the tailor used a total of 2952 buttons.

Each shirt has 9 buttons, therefore the number of shirts can be calculated as:

2952 ÷ 9 = 328.

Since the shirts sold at $36 each and there are 328 shirts made,

the total amount can be calculated as $36 · 328

                                                             = $11,808

Hence,  the total amount collected by the tailor  $11,808.

To learn more on division click:

brainly.com/question/21416852

#SPJ2

18. (a)
A football club sells tickets at different prices dependent on age group.
The table shows the football ticket prices for the different age groups.
Price Age:
Under 18 = $15
18 to 60 = $35
Over 60 = $18
At a particular game there were 42 600 tickets sold.

14% were sold to people aged under 18

2/3 of the tickets were sold to people aged 18 to 60

The remainder were sold to people aged over 60


Answers

Answer:

5,964 people are under 18 , 400 people are aged 18 to 60  , 8,236 people are over 60

Step-by-step explanation:

42 , 600 x 14/100 = 5,964 people are under 18

42,600 x 2/3 = 28 , 400 people are aged 18 to 60

The remaining over 60 = 42 , 600 - (5,964 + 28400)

42,600 - 34,364 = 8,236 people are over 60

[tex]y = x {}^{2} - 9x + 14[/tex]

Given that y can be written in the form
[tex](x + a) {}^{2} + b[/tex]
, where a and b are constants, find the value of a and the value of b.​
pls help i rly need this Pls pls pls pls

Answers

Answer:

a = - [tex]\frac{9}{2}[/tex] , b = - [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

To obtain the required form use the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 9x

y = x² + 2(- [tex]\frac{9}{2}[/tex] )x + [tex]\frac{81}{4}[/tex] - [tex]\frac{81}{4}[/tex] + 14

  = (x - [tex]\frac{9}{2}[/tex] )² - [tex]\frac{81}{4}[/tex] + [tex]\frac{56}{4}[/tex]

  = (x - [tex]\frac{9}{2}[/tex] )²- [tex]\frac{25}{4}[/tex] ← in the form (x + a)² + b

with a = - [tex]\frac{9}{2}[/tex] and b = - [tex]\frac{25}{4}[/tex]

Answer:

a = 4.5

b = -6.25

Step-by-step explanation:

The given equation to us is ,

[tex]\implies y = x {}^{2} - 9x + 14[/tex]

And its given that it can we written in the form of ,

[tex]\implies (x + a) {}^{2} + b[/tex]

Where ,

a and b are constants .

Therefore ,

[tex]\implies y = x^2 -9x + 14 [/tex]

Multiplying 9x by 2/2 ,we have ,

[tex]\implies y = x^2 -\dfrac{2}{2}\times 9 x + 14 [/tex]

Adding and subtracting (9/2)² ,

[tex]\implies y = \bigg\{ x^2 -\dfrac{2}{2}\times 9 x + \bigg(\dfrac{9}{2}\bigg)^2 \bigg\} +14 -\bigg(\dfrac{9}{2}\bigg)^2[/tex]

Therefore , we can write it as ,

[tex]\implies y = \bigg( x + \dfrac{9}{2}\bigg)^2 + 14 - 20.25 \\\\\implies \underline{\underline{ y = \bigg( x + \dfrac{9}{2}\bigg)^2 - 6.25 }}[/tex]

Hence the value of a is 9/2 and b is -6.25 .

Cans of soda at a local store a six-pack of soda costs $2.59 and indivdual cans cost $0.80. What is the maximum of cans of soda that can be purchased for $15​

Answers

Answer:  30 cans (buy them by the six-pack; so you'd buy 5 six-packs)

==============================================================

Explanation:

Let's say you buy six-packs only. Divide the amount of money you have over the cost per six-pack.

15/(2.59) = 5.7915 which rounds down to 5.

If you buy six-packs only, then you can buy a max of 5 of them. That gets you 5*6 = 30 cans of soda.

-------------

Now let's say you buy individual cans only. We'll use the same idea mentioned earlier but this time divide over 0.80

15/(0.80) = 18.75 which rounds down to 18

We round down because we can't buy that 19th can of soda (note how 19*0.80 = 15.2 which is larger than 15).

So if you buy individual cans only, then you can get a max of 18 cans.

We see that it's better to go with the six-pack option (in the first section) since we can get 30 cans compared to 18 cans.

Find the area

Help me please

Answers

Answer:

72

Step-by-step explanation:

You add the base which is 8 and 18 then multiply by 11 which is 144. after that you divide by two and get your answer 72

Given that g(x)=x2, find each of the following.
a) g(3)
b) g(-1)
c) g( - x)
d) g(2y)
e) g(1 + h)
a) g(3) = (Simplify your answer.)

Answers

Step-by-step explanation:

a)

g(3) = 9

b)

g(-1) = 1

c)

g(-x) = x²

d)

g(2y) = 4y²

e)

g(1 + h) = 1 + h² + 2h

using the identity (a +b)² = a² + b² + 2ab

Answer:

a) g(3) = 9

b) g(-1) = 1

c) g(-x) =

d) g(2y) = 4y²

e) g(1+h) = 1 + 2h + h²

Step-by-step explanation:

a) when x = 3 ,

   g(3) = 3² = 9

b) when x = -1 ,

   g(-1) = (-1)² = 1

c) when x = -x ,

   g( -x ) = (-x)² =

d) when x= 2y ,

   g( 2y ) = (2y)² = 4y²

e) when x = 1 + h ,

   g( 1 + h ) = ( 1 + h )² = 1 + 2h + h²

Determine the value of x.
4.375 units
4.59 units
13.95 units
15 units

Answers

Answer:

13.95 units

Step-by-step explanation:

[tex] \sin \: 35 \degree = \frac{8}{x} \\ \\ \therefore \: x \: = \frac{8}{\sin \: 35 \degree} \\ \\ \therefore \: x \: = 13.9475744 \\ \\ \therefore \: x \: = 13.95 \: units[/tex]

Please help me my little sister and i don’t understand!!

Answers

Hi!

These two angles are alternate interior angles, so they are congruent. Thus:

∠A = ∠B

6x + 5 = 4x + 45

Solve for x:

2x + 5 = 45

2x = 40

x = 20

Solve for ∠A by substituting in this value:

∠A = 6(20) + 5 = 125°

represent the following additions on a number line 3+5​

Answers

Hope this is able to be useful

Which property was used to simplify the expression?
30+9+4- 40+
distributive property
commutative property
associative property
inverse property
HELP SMB PLEASE!!!

Answers

Answer:

Distributive property.

Step-by-step explanation:

.

Answer:

holis polis trolis bsuslsgddnnbz

Find each measure

Please help me

Answers

Answer:

19) 100

20) 360 - 90 = 270

21) 360- 125 = 235

22) 45

Step-by-step explanation:

Central angles and the arcs they create are congruent.

Johan published a monthly poetry magazine. In March he printed 1400 copies of magazine. In April he increased his print run by 15%

Answers

Answer:

1610

Step-by-step explanation:

Answer:

1610

Step-by-step explanation:

you can easily get the solution without a calculator:

1400

+ 140 (+10%)

+ 70 (+5%)

= 1400 + 210

Can someone help me with this math homework please!

Answers

9514 1404 393

Answer:

  (a) Micah's solution is wrong.

Step-by-step explanation:

After adding 5/2x to both sides, Micah should have obtained ...

  5/6 = 8

This would indicate there are no values of x that make the statement true.

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