Only problem is with the simplifying.
We all know that 5/5 = 1, it is natural to assume (x+a)/(x+a) is also 1, but in some cases where x+a=0, it is undefined. In this equation, where they simplify (x-2) and (x-6), you must say that x is not 2 nor 6 or, you just delete 0/0 which is undefined.
Therefore the only solution would be x=-1
Log (25¹/⁵) = (1/5) log(25) = (1/5) (1.3979) = 0.2796
Answer:
106.1 ft/s
Step-by-step explanation:
You know the diagonal of a square is √2 times the length of one side, so the distance from 3rd to 1st is 90√2 feet ≈ 127.2792 ft.
The speed is the ratio of distance to time:
speed = distance/time = 127.2972 ft/(1.2 s) ≈ 106.1 ft/s.
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In case you have never figured or seen the computation of the diagonal of a square (the hypotenuse of an isosceles right triangle), consider the square with side lengths 1. The diagonal will cut the square into halves that are isosceles right triangles with leg lengths 1. Then the Pythagorean theorem can be used to find the diagonal length d:
d² = 1² + 1²
d² = 2
d = √2
Since this is the diagonal for a side length of 1, any other side length will serve as a scale factor for this value. A square with a side length of 90 ft will have a diagonal measuring 90√2 ft.
Answer:
16 mm
Step-by-step explanation:
Knowing that the longest lines with the numbers marked on them is the tens, I realized there was only one line the red line crossed. The other 6 was from one little mm and the med-long line.
Answer:
Step-by-step explanation:
The formula for determining the volume of a square based pyramid is expressed as
Volume = 1/3 × base area × height
Since the base is a square, all sides would be equal. The formula for finding the area of a square would be applied. From the information given, length of each side of the square is 12 cm. Therefore,
Base area = 12² = 144 cm²
Height = 10 cm
Therefore,
Volume = 1/3 × 144 × 10 = 480 cm³
