Answer:
7.37108cmx7.37108cmx7.37108cm
Step-by-step explanation:
Find the volume of the cylinder then take the cube route of that. You should end up with ~7.38108cm which is the length, width, and height of your cube. The volume is 402.12386cm cubed.
5(2y-4) - 3y = 1. 10y-20-3y=1. 7y-20=1. 7y=21. y =3. x = 2(3)-4. x = 2. x*y =6.
The distance from the sun is option 2 5.59 astronomical units.
Step-by-step explanation:
Step 1; To solve the question we need two variables. P which represents the number of years a planet takes to complete a revolution around the Sun. This is given as 13.2 years in the question so P = 13.2 years. The other variable is the distance between the planet and the sun in astronomical units. We need to determine the value of this using the given equation.
Step 2; So we have to calculate the value of 'a' in Kepler's equation. But the exponential power
is on the variable we need to find so we multiply both the sides by an exponential power of
to be able to calculate 'a'.
P =
,
=
,
= a,
= a = 5.58533 astronomical units.
Rounding it over to nearest hundredth we get 5.59 astronomical units.
Answer:
Money with Mary = $28
Money with Vivan = $12
Step-by-step explanation
Money with Mary = $ m
Money with Vivan = $v
If mary gave vivan $8 they would have same amount. $ 8 is reduced from Mary's amount 'm' and $8 is added to vivan amount 'v'
m - 8 = v + 8
m = v + 8 +8
m -v = 16 ----------------(I)
If vivan gives mary $8, then mary would have 9 times as much as vivan.
9(v - 8) = m + 8
9v - 72 = m + 8
9v - m = 8 + 72
-m + 9v = 80 --------------(II)
Add equation (I) and (II). Thus m will be cancelled and we will get the value of v
(I) m - v = 16
(II) <u>-m + 9v = 80</u> {Now add}
8v = 96
v = 96/8
v = $ 12
Plugin v = 12 in equation (I)
m - 12 = 16
m = 16 +12
m =$ 28