Answer:
about 1.43 hours.
Step-by-step explanation:
You can use your original equation to find how many minutes it takes to fill up the 309 gallon hot tub.
3.59x=309
x= how many minutes it takes to fill up a certain gallon.
Divide both sides by 3.59 to isolate x and you get x=86.0724234.
That is how many minutes it takes.
The question asks for how many hours, so that divide 86.0724234 by 60 since there are 60 minutes in an hour, and you get 1.43454039 or 1.43 hours.
There is also another way which is called dimensional analysis, but I don't know if you guys learned that yet.
Hope my answer helps!
√(2x+4)=16 square both sides
2x+4=256 subtract 4 from both sides
2x=252 divide both sides by 2
x=126
Answer:
Step-by-step explanation:
3 over 2/3 → 3/1 divided by 2/3 → 3/1 x 3/2 (do keep change flip)
once you multiply you'll get 9/2.
so, you'd end up with a pyramid with a volume "one sixteenth" of the original then
now, the original had a volume of 1536, the quarterized version will then just be one sixteenth of that, or 1536 * 1/36
Answer:
33.89
Step-by-step explanation:
the side lengths are the distances between the corner points of the triangle.
P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.
PQ = 6 - (-6) = 6 + 6 = 12
QR and RP are trickier.
we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.
QR :
QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97
QR = sqrt(97) ≈ 9.848857802
RP :
RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145
RP = sqrt(145) ≈ 12.04159458
the perimeter/circumference of the triangle is the sum of all 3 sides
= 12 + sqrt(97) + sqrt(145) ≈ 33.89
