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Using the key word exceed in the problem, we can infer that the x must be greater than 6, rather than equal to. Therefore, an expression where x is greater than 6 would be correct.
Expression - x > 6
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Answer:
The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft
Step-by-step explanation:
Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²
For maximum volume, the side length, s of the cube must all be equal ;
Therefore area of one side = s²
Number of sides in a cube with top open = 5 sides
Area of surface = 5 × s² = 180
Therefore s² = 180/5 = 36
s² = 36
s = √36 = 6 ft
Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.
Answer:
At a distance of 525 km from the station both trains meet.
Step-by-step explanation:
Speed of the first train = 75
Speed of the second train = 105
Distance traveled by first train in two hours = 75 × 2 = 150 km
When the first train traveled a distance of 150 km than second train starts from the station.
Let suppose the two trains meet after T hours.
Value of T is given by
Put the value of D & & we get
T = 5 hours
Thus the two trains meet after 5 hours &
⇒ Distance from the station is = Speed of second train × 5
⇒ Distance from the station is = 105 × 5
⇒ Distance from the station is = 525 km
Therefore at a distance of 525 km from the station both trains meet.
Answer:
common difference(d) = 11
first term (a)=11
then the nth term
=a+(n-1)d
=11+ (n-1)*11
=11+11n-11
=11n
Do 72 divided by 6 to get 12 so the answer is D