Which equation is an identity?
1 answer:
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Answer:
The visitor should run approximately 14.96 mile to minimize the time it takes to reach the island
Step-by-step explanation:
From the question, we have;
The distance of the island from the shoreline = 1 mile
The distance the person is staying from the point on the shoreline = 15 mile
The rate at which the visitor runs = 6 mph
The rate at which the visitor swims = 2.5 mph
Let 'x' represent the distance the person runs, we have;
The distance to swim =
The total time, 't', is given as follows;
The minimum value of 't' is found by differentiating with an online tool, as follows;
At the maximum/minimum point, we have;
Simplifying, with a graphing calculator, we get;
-4.72·x² + 142·x - 1,070 = 0
From which we also get x ≈ 15.04 and x ≈ 0.64956
x ≈ 15.04 mile
Therefore, given that 15.04 mi is 0.04 mi after the point, the distance he should run = 15 mi - 0.04 mi ≈ 14.96 mi
Therefore, the distance to run, x ≈ 14.96 mile
Answer:
13 ft.
Step-by-step explanation:
Lateral Surface area of a cube is the area of 4 sides, front side, back side, left side face and right side face.
It can be seen seen from the attached figure as well.
Each face in a cube is a square. And each side in the cube is equal.
So, Lateral surface area is nothing but 4 area of a square.
And we know that area of a square = .
Hence, Lateral surface area =
As per question:
= 676
Hence, side length of cube = 13 feet.
