By doing dimensional analysis, we can easily calculate for what is being asked here. We do as follows:
Given:
Energy per time = 2400 BTU/hr
time period = 3 hrs
number of subjects = 7
Measurement of the weights = <span>20 ft × 25 ft × 12 ft
The energy produced for 3 hours would be:
2400 BTU/hr ( 3hr) = 7200 BTU
Volume of each weight = </span><span>20 ft × 25 ft × 12 ft = 6000 ft^3
Energy per volume = 7200 / 6000 = 1.2 BTU/ft^3
However, we have 7 bodybuilders producing this amount therefore,
Total energy produced = 7 (1.2 BTU/ft^3) = 8.4 BTU/ft^3</span>
Let x be the unknown angle.
Make an equation using the formula.
<span>"measure of one acute angle is 3 times" Since we know that x is the one acute angle, we can multiply that by 3 to get 3x.
"</span><span>the sum of" when ever you see the word 'sum' it means that there will be an addition process involved and in this case it also means that 3x will equal to the rest of the equation. (3x=)
</span>
<span>"measure of the other acute angle and 8" We already know that the other angle is x . Since there is no other indicator of the 8 being subtracted, multiplied, and divided and that we know this is an addition problem, we can conclude that 8 will be added to the other angle. (x+8)
</span>
So, now we have the equation and all we have to do is simplify it.
3x= x+8
-x -x *Move constants and variables to opposite sides*
------------
2x=8
--- --- *Divide by 2 to isolate the variable*
2 2
x=4
So, I'm assuming you want to know the measure of both angles. All you have to do is plug in the x in the 3x and x+8 depending on which angle you want.
3x
3(4)=12
The measure of the first angle is 12.
x+8
4+8= 12
The measure of the second angle is also 12.
Answer:
1/4 x
Step-by-step explanation:
I think this because you don't know the amount of salt so that would be labeled x.
Answer:
(x, y) = (3, 5/2)
Step-by-step explanation:
I'll solve by elimination here. If you invert the second equation and add it to the first, 2y and -2y would cancel out.
Now just add those from top to bottom.
Nothing else needs to be done for that part. Now, you can pick either equation and use the known value of x to solve for y.
(x, y) = (3, 5/2)
