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1. How is the number pf sides related to the sum of the interior angles in a polygon?

the sum of the interior angles in a triangle is 180° in a quadrilateral draw a diagonal and get 2 triangles: the sum is 180°×2 = 360° in a pentagon draw two diagonal from the same vertex getting 3 trangles: the sum is 180°×3 = 540° in a polygon with n vertex draw all the...

1 Answers · Science & Mathematics · 14/09/2013

2. if the graphs pf 2y+x+3=0 and 3y+ax+2=0 meet at right angles then what is the value of a????????????

Both equations are linear. The slope of the first equation is -1/2. If they meet at right angles, the slope of the second equation must be (-1) / (-1/2) = 2 But the slope of the second equation, in terms of a, is -a...

1 Answers · Science & Mathematics · 24/09/2011

3. Given that the graphs pf the following equation touches the x-asxis at only one point, find the value of k?

Clearly these are equations of parabola. To touch X-axis only at a single point, their tip (turning point) should be on X-axis or the right hand sides should be a perfect square (if you put y = 0, there should be only one solution of x). With that in mind...

1 Answers · Science & Mathematics · 04/10/2012

4. A circuit is connected to a power soure that gives a voltage of 60 V. The circuit has an inductance pf 4 H and a resistance of 12 Ω...?

I(t) = V/R * (1-e^-Rt/L) = 60/12 * (1 - e^-3t) = 5 as t-> infinity Don't normally answer anonymous questions because I prefer to help people thoughtful enough to be grateful which is becoming very rare these days.

1 Answers · Science & Mathematics · 12/04/2015

5. Pf if K is compact subset R^d, y is a point of R^d that is not in K,then there is a closest point to y in K?

The distance function (i..e, the standard Euclidean metric) is continuous when you fix one of the points. So let d( . , .) be the metric. Consider d(x,y) as a function from K to R, for x in K. It's trivial to verify that d: K-->...

1 Answers · Science & Mathematics · 03/06/2012

6. formula for a circle?

Do you mean equation of a circle? To find eq of a circle whose centre and radius are given. sol - Let (hk) be the centre C of the circle and r the radius CP, where P is any point(x,y) on the circle. Then CP...

4 Answers · Science & Mathematics · 12/04/2009

7. Cheetahs have been observed running a distance pf 5.50x10^2m with an average speed of 1.00x10^2 km/h?

Since velocity = distance / time time = distance / velocity T = (5.5 • 10²m) / (1 x 10² km) Change the km to 1000 m T = (5.5 • 10²m) / (1 x 10² • 1000 m) 10² and 10² cancels out T = 5.5 / 1000 = 11 / 2000...

1 Answers · Science & Mathematics · 22/09/2011

8. if y varies inversely as the square pf x and y=8 when x=3, find x when y=18?

All this means is that y = 1/(x^2) * someNumber We're given x=3 and y=8 so we can solve for some number which is then just 9*8=72 So when y=18 18=1/(x^2)*72 or x^2 = 72/18 x*2 = 4 x=2

1 Answers · Science & Mathematics · 21/06/2011

9. how to determine the coordinates of the points of intersection pf lines y=mx+1 and y-2x=2?

Equate the 2 y's. mx+1=2x+2 x(m-2)=1 x=1/(m-2) -----(1) y=2x+2 y=2[1/(m-2)]+2 y=2/(m-2)+2 y=[2+2(m-2)]/(m-2) y=(2+2m-4)/(m-2) y=(2m-2)/(m-2) y=2(m-1)/(m-2) --- (2) (1) and (2) are the points of intersection.

2 Answers · Science & Mathematics · 25/07/2008

10. find the area bounded by the graphs pf the given equations y=2x+15,y=x2?

Find the intersection points: x² = 2x + 15 x² - 2x - 15 = 0 (x - 5)(x + 3) = 0 x = 5 and x = -3 ∫(2x + 15 - x²) dx from -3 to 5 x² + 15x - x^3/3 eval. from -3 to 5 100 - 125/3 - 9 + 45 - 9 = 256/3 sq. units

1 Answers · Science & Mathematics · 14/11/2010