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andrew-mc [135]
3 years ago
13

the legs of a right triangle have lengths of 27 meters and 36 meters. the hypotenuse has a length of 5x meters what is the value

of x
Chemistry
1 answer:
LuckyWell [14K]3 years ago
5 0
Hi there!

We can use pythagorean theorem to solve this problem here. The easiest way to go about solving this problem is to use the theorem to find the hypotenuse, then dividing it by 5 to find the value of x, since the hypotenuse is 5x.

WORK:
27^2 + 36^2 = h^2     (plugging into theorem)
729 + 1296 = h^2     (squaring the numbers)
h^2 = 2025              (adding the numbers together)
hypotenuse = 49    (taking the square root of 2025)
49/5 = x                 (dividing 49 by 5 to find x)
x = 9.8                  (dividing)

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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Chloroform flows through a 4.26 inch inside-diameter pipe at the rate of 3.60 gallons per minute. What is the average velocity o
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Answer:

1) 0,081 ft/s

2) 0,746 lb/s

Explanation:

The relation between flow and velocity of a fluid is given by:

Q=Av

where:

  • Q, flow [ft3/s]
  • A, cross section of the pipe [ft2]
  • v, velocity of the fluid [ft/s]

1)

To convert our data to appropiate units, we use the following convertion factors:

1 ft=12 inches

1 ft3=7,48 gallons

1 minute=60 seconds

So,

Q=\frac{3,60 gallons}{1 min}*\frac{1min}{60 s}*\frac{1ft3}{7,48gallons}=0,00802 \frac{ft3}{s}

As the pipe has a circular section, we use A=πd^2/4:

d=4,26 inch *\frac{1ft}{12 inch}=0,355ft\\  A=\pi \frac{0,355^{2} }{4}=0,0989ft2

Finally:

Q=vA......................v=Q/A

v=\frac{0,00802ft^{3} /s}{0,0989ft^{2} }=0,081ft/s

2)

The following formula is used to calculate the specific gravity of a material:

SG = ρ / ρW  

where:

  • SG = specific gravity,
  • ρ = density of the material [lb/ft3]
  • ρW = density of water [lb/ft3] = 62.4 lbs/ft3

then:

ρ = SG*ρW   = 1,49* 62,4 lb/ft3 = 93 lb/ft3

To calculate the mass flow, we just use the density of the chloroform in lb/ft3 to relate mass and volume:

0,00802 \frac{ft3}{s}*\frac{93lb}{1ft3}=0,746lb/s

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The answer is d. extrusive.


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have a great day! Brainliest is greatly appreciated, and please let me know if you need help with anything else ;)

5 0
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Ira Lisetskai [31]

Answer:

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Answer is: the average atomic mass is 232.

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ω₁ = 0.20.

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ω₂ = 0.80.

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Ar₁ = 240.

Ar₂ = 120 + 110 .

Ar₂ = 230.

Average atomic mass of atoms of bolognium =  

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Average atomic mass of atoms of bolognium = 48 + 184.  

Average atomic mass of atoms of bolognium = 232.

4 0
3 years ago
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