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3x² = 5x
3x² - 5x = 0
From that part we can factorize
x(3x - 5) = 0
Set factors equal to 0
x = 0 or 3x - 5 = 0
x =0 or 3x = 0 + 5
x = 0 or 3x = 5
x = 0 or x = 5/3
The final answer is : X = 0 or X = 5/3
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Answer:
150°
Step-by-step explanation:
It is given that CosФ < 0 i.e CosФ is negative.
Therefore, the minimum the value of Ф for which CosФ <0 will be in the second quadrant i.e 90° < Ф < 180°.
Now it is also given that, Sin Ф =0.5 {the value of SinФ is positive because Sin value is positive in second quadrant.}
⇒ Ф =180° - Sin⁻¹ (0.5) = 180°-30° =150° (Answer)
Answer:
A person saves 30.7 yards
Step-by-step explanation:
the path a person walks diagonally creates a right triangle with the lenght and the width of the rectangular piece of land. The diagonal is 90 yards which becomes the hypotenuse.
let <em><u>w</u></em> be the width, then <em><u>l</u></em> becomes the length, which is twice the width. Therefore, leg <em><u>l=2</u></em><u>a</u> and leg <u><em>w=</em></u><u>a</u>.
By the Pythagorean Theorem:
Replacing the values:
But that <u>a</u> is the value for the width, if a person walks the width and the length, it becomes:
the length plus the width=2a+a=3a.
So:
Now, the difference between walking across the land and surrounding it, is:
We can conclude, a person saves 30.7 yards if walking across the land.
Answer:
..
Step-by-step explanation:
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