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You are given two sides b and c and an included angle A, so we can use: A = (1/2)bc*sin(A). Therefore, the area of the triangle is: A = (1/2)(10)(18)sin(120°) ≈ 78 square units. I hope this helps!

3 Answers · Science & Mathematics · 06/05/2011

**PF**= distance (x,y) to (0, √5) is √[(x-0)^2 + (y-√5)^2] = √[x^2 + (y-√5)^2] , by Pyth thm (distance formula)**PF**' = distance (x,y) to (0,-√5) is √[(x-0)^2 + (y+√5)^2] = √[x^2 + (y...2 Answers · Science & Mathematics · 23/07/2010

Let c be any irrational number such that a < c < b. Since the rationals are dense in IR, we can find a sequence {c_n} of rational numbers in (a, b) such that c_n -> c. As f is continuous, f preserves...

2 Answers · Science & Mathematics · 29/11/2011

The formula should be h(t)=-16t^2+140t At the maximum height, t = -140/(2*-16) = 35/8 So, the maximum height = h(35/8) = 306.25 ft

4 Answers · Science & Mathematics · 05/10/2011

Each row coresponds to coeficients of the binomial expansion. The first row is the n=0 row with the entry 1, the second row n=1 with the entries 1,1 and so on. The entries correspond to the coefficients of (a+b)^n...

2 Answers · Science & Mathematics · 23/11/2006

Let the measure of the angle be m.deg Its supplement is 180 - m deg As per the question : m = (180 - m)/2 + 30 => m = 90 - m/2 + 30 => m + m/2 = 90 +30 => 3m/2 = 120 => m = 120 * (2/3) = 80

2 Answers · Science & Mathematics · 15/02/2013

1) This is an arithmetic sequence, modelled by the formula Sn = n/2 * (2a1 + (n-1)d), where - Sn is the sum of the number of terms, which is 880 - a1 is the initial value, which is 25 - n is the number of...

1 Answers · Science & Mathematics · 03/08/2009

the pair of eqations a1x+b1y =c1 and a2x + b2y = c2 are (1.) parallel if a1/ b1 = a2/b2 (derived from equal slopes concept). (2.) perpendicular if a1a2+b1b2 =0. the above equation has a1 = 6, b1 =6, a2 = 6., b2 = - 6 clearly, a1a2 + b1b2 =36 -36 =0. hence,the graphs...

4 Answers · Science & Mathematics · 30/10/2011

-ve + -ve is -ve. same -ve + same +ve is zero. +ve + +ve is +ve. larger -ve + smaller +ve is -ve. larger +ve + smaller -ve is +ve. -ve multiply or divide by -ve is +ve. +ve multiply or divide by +ve is +ve. -ve multiply or divide by +ve...

3 Answers · Science & Mathematics · 26/10/2008

4) 3 and -3 (x+3)(x-3)(x²+1)=0 5) (x-1)(x²-x+3)=0 6) 5x(x²-1)=0 x=0 x=±1

1 Answers · Science & Mathematics · 03/11/2011