Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither.
2 answers:
Answer:
The answer is neither inscribed circle nor circumscribed circle
Step-by-step explanation:
Given a figure, we have to whether the triangle is inscribed in the circle, circumscribed about the circle, or neither.
An inscribed circle is the largest possible circle that can be drawn on the inside of a circle i.e plane figure. Each side of triangle must be the tangent to the circle.
The circumscribed circle is a circle that passes through all the vertices of the polygon.
The neither of the two conditions satisfied
Neither circle passes through all the vertices of the triangle nor Each side of triangle must be the tangent to the circle.
Hence, neither inscribed circle nor circumscribed circle
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Answer:
Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.
Step-by-step explanation:
Let tap B fills the pool alone in the time = x hours
So in one hour part of pool will be filled =
Another tap A when turned on, it takes time to fill the pool = x-5 hours
So in one hour part of the same pool filled =
Now both the taps A and B are turned on then time taken to fill the pool = 3 hours.
Part of the pool filled in one hour by both the taps =
Now we form an equation
Part of pool filled in one hour by tap A + Part of pool filled in one hour by tap B = Part of pool filled in one hour by both the taps when turned on
3(x - 4) = x(x - 5)
x² -5x = 3x - 12
x² - 8x + 12 = 0
x² - 6x - 2x + 12 = 0
x(x - 6) - 2(x - 6) = 0
(x -2)(x - 6) = 0
x = 2, 6 hours
We will take higher value of x as x = 6 hours for tap B.
Time taken by tap A = 6 - 4 = 2 hours.
Therefore, Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.
Given:
The equation is
To find:
The coefficient and reciprocal.
Solution:
We have,
Here, is multiplied with x.
So, the coefficient of x is .
To find the reciprocal, we need to interchange numerator and denominator of a fraction.
So, the reciprocal of is
Therefore, the reciprocal is 3.