4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5
per minute.
Step-by-step explanation:
The given is,
Tank is shaped like a cylinder that is 3 ft long with a diameter of 2.2 ft.
Oil drained at a rate of 2.5
per minute.
Step:1
Time taken to dry the oil tank is,
T =
....................................(1)
Step:2
Volume of the oil is,
.................................................(2)
Where, r - Radius of Cylinder

r = 1.1 ft
From eqn (1),
V =
×
× 3
= 11.40398 
Step:3
From equation (1)
=
= 4.56
= 4.56 minutes
T = 4 minutes 34 seconds
Result:
Time taken to dry the oil tank is 4 minutes 34 seconds, if a cylinder is 3 ft long with a diameter of 2.2 ft and oil is drained at a rate of 2.5ft^3 per minute.
There's no way to find the mass with the information given.
"200 ft" and "875 ft" are linear dimensions ... things you would
measure with a ruler. They tell us how long or wide or high the
TV is. None of that information tells us anything about its mass.
By the way ... those are gigantic measurements. I was working
in Wrigley Field here in Chicago just before opening day in 2015,
when the new video screens were being installed. I saw them
up close while the cranes lifted them into position. None of the
Chicago Cubs' new screens is as big as the numbers in the question,
and I'm pretty sure the whole score-board isn't that big either.
Something is definitely wrong here.
See picture for explanation.
Answer:
The ages of the four siblings are: 5, 7, 9 and 11 years old.
Step-by-step explanation:
The computation of the age of the four siblings is shown below:
Given that
n = 4
a1 =? a2 =? a3 =? a4 =?
a4 = a1 + 6 years
S4 = 32
Based on the above information
As we know that
Sn = (a1 + a4) × n ÷ 2
S4 = (a1 + a4) × 4 ÷ 2
32 = (a1 + a1 +6) × 2
16 = 2a1 + 6
2a1 = 10
a1 = 10 ÷ 2
= 5
So, a4 = a1 +6
= 5 +6
= 11
a4 = a1 + (4-1) × d
11 = 5 + 3 × d
d = 6 ÷ 3
= 2
So,
a2 = a1 + d
= 5 + 2
= 7
a3 = a2 + d
= 7 + 2
= 9
Hence, The ages of the four siblings are: 5, 7, 9 and 11 years old.
Answer:
Step-by-step explanation:
Nope, x-√6 is a factor of x^4-36. Let solve the question by factorization method.
x^4 - (√6)^4
x^4 - (√6)^4
(x²)² - (√6²)^²
(x²)² - (√6²)^²
(x² - 6)(x² + 6)
Hence, the required factor forms of equation is (x² - 6)(x² + 6)
Therefore, x-√6 is not a factor of x^4-36.
<u>Formula used while solving the problem :</u>
1. a² - b² = (a + b) (a - b)
2. a^4 - b^4 = ( a² + b²)(a² - b²)