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oksian1 [2.3K]
3 years ago
11

A human body that is performing light work generates about 400 btus of the body heat per hour while active. if an office that is

20 ft x 30ft x 10ft has 8 workers, how many btus per cubic foot do they produce in 3 hours(to the nearest tenth)
A)0.2 BTUs/ft3
B)0.6
C)1.5
D)2.9
Mathematics
1 answer:
Neporo4naja [7]3 years ago
6 0
I got none of the above my answer is 1.6 BTUs/ft3. I did 400 x 8 x 3 for total BTUs = 9600 btus and the volume of the room was 20 x 30 x10 ft = 6000 cu ft so 9600/6000= 1.6 BTUs/ft3
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The answer is: " 17.35 " .

__________________________________

→ The circumference of the circle is: " 17.35 units " .

__________________________________


The area, "A", of a circle:

A = \pi * r² ;

Note: \pi  = 3.14 .

The area of the circumference, "C", of a circle:

C = 2 \pi r .

__________________________________________

Given:

A = 24 ;

Use the formula for the area, "A" of a circle, to find the radius, "r" .

Then, plug the value obtained for "r" into the formula for the circumference, "C" , of a circle:

C = 2\pi r l

To solve for the circumference, "C", of the circle.

________________

A = \pi  *  r^{2} ;

24 = 3.14 * r² ;

↔ 3.14 * r² = 24 ;

Divide each side of the equation by "(3.14)" ;

[3.14 * r²] / 3.14 = (24) / (3.14) ;

to get:

→ r² = 7.64331210191 ;

Take the positive square root of each side of the equation;

to isolate "r" on one side of the equation; & to solve for the radius, "r" ;

→ ⁺√(r²) = ⁺√(7.64331210191) ;

to get:

→ r = 2.76281034802 ;

____________________________

Now, plug this "obtained value" for the radius, "r" into the equation for the formula for the circumference, "C" of a circle:

→ C = 2 \pi * r ;

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→ C = 2 * (3.14) * (2.76281034802) ;

= (6.28) * (2.76281034802) ;

= 17.3504489856 ;

→ round to: " 17.35 units" .

__________________________________

The answer is: " 17.35 " .

__________________________________

→ The circumference of the circle is: " 17.35 units " .

__________________________________

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