Answer:
729 in³
Step-by-step explanation:
Fill in the given numbers in the formula and solve for V.
... A = 6V^(2/3) . . . . . . the given formula
... 486 = 6V^(2/3) . . . . with the given area filled in
... 81 = V^(2/3) . . . . . . . divide by 6
... 81^(3/2) = V . . . . . . . raise to the 3/2 power. (2/3)·(3/2) = 1, so we have V on the right
... 729 = V . . . . in³
_____
You may have noticed that (81 in²)^(3/2) becomes 729 in³. The exponent operations work on the units, too.
Answer:
The length of ST to the nearest tenth of a foot is 5.2 ft
Step-by-step explanation:
Here we have
∡T = 90°
∡R = 64°
RS = 5.8 ft
To answer the question, we have apply sine rule as follows;
![\frac{a}{Sin\alpha } = \frac{b}{sin\beta } = \frac{c}{sin\gamma}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BSin%5Calpha%20%7D%20%3D%20%5Cfrac%7Bb%7D%7Bsin%5Cbeta%20%7D%20%3D%20%5Cfrac%7Bc%7D%7Bsin%5Cgamma%7D)
Therefore, for triangle RST, we will have;
![\frac{RS}{SinT } = \frac{ST}{sinR } = \frac{RT}{sinS}](https://tex.z-dn.net/?f=%5Cfrac%7BRS%7D%7BSinT%20%7D%20%3D%20%5Cfrac%7BST%7D%7BsinR%20%7D%20%3D%20%5Cfrac%7BRT%7D%7BsinS%7D)
Therefore;
from which
![{ST}{ } = \frac{5.8 \times sin64}{Sin90 } = 5.213 \, ft](https://tex.z-dn.net/?f=%7BST%7D%7B%20%7D%20%3D%20%5Cfrac%7B5.8%20%5Ctimes%20sin64%7D%7BSin90%20%7D%20%3D%205.213%20%5C%2C%20ft)
Therefore, the length of ST to the nearest tenth of a foot = 5.2 ft.
Answer:
28
Step-by-step explanation:
The initial number n must be a multiple of 4 (otherwise n/4 will not be an integer) and must be bigger than 0. Therefore if the initial number is less than 28 then it should be a number in the next list: 4, 8, 12, 16, 20 and 24, but from those options just 12 could give a second stop but not a third stop.
so the smallest number that allow three stops is 28 since:
Therefore 28 could not only stop three times but infinite times.
Answer:
1/3(n)+11
Step-by-step explanation:
n represents a number
Answer:
Here we will find the pressure exerted by the gas?
Kinetic theory of gases shows the relationship between the Pressure of an ideal gas with the speed of molecules, or their average translational kinetic Energy
P
=0.667N/Vvr
where
P =Gas pressure?
vr = average translational kinetic energy of each atom =2.70×10⁻²³ J
N/V = number of gas atoms per volume = 6.76×10²⁰ atoms/cm³ = 6.76×10²⁶atoms/m³
P = 0.6667 x 6.76×10²⁶ x 2.70×10⁻²³ = 0.01217Pa