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Find included angle of a triangle knowing: area = 15 cm^2 sides 5 cm and 8 cm. Use the trig identity: S = 1/2 bc.sin A […]

##68## The first thing to tackle here is how to express two consecutive even integers algebraically. ##2x## will give an even integer if ##x## is also […]

##sqrt(2x-x^2)/(x-1) x in [0 2]## Let ##a =arc sin ( x – 1 ) in [-pi/2 pi/2]##. Then ##sin a = x-1 in [-1 1] to […]

Viewed as a right angled triangle ##tan(x)=5/12## can be thought of as the ratio of opposite to adjacent sides in a triangle with sides ##5 12## […]

You can use the following argument from trigonometry: If you have difficulties to find ##h## look at the solution below. 🙂 . . . . . […]

##(3pi)/4## ##arccosx## can be thought of as an angle that measures between ##0## and ##pi## radians whose cosine is x. (It can also be thought of […]

##l=120yds## ##w=53yds## A football field resembles as a rectangle. The perimeter of a rectangle can be determined by the equation: ##P=2l+2w rarr## equation 1 where: ##P […]

##r=6## Volume of Sphere##=4/3pir^3## So##288pi=4/3pir^3## ##rarr(288pi)/pi=4/3r^3## ##rarr288=4/3r^3## ##rarr288-:4/3=r^3## ##rarr288*3/4=r^3## ##rarr216=r^3## ##rarrr=root(3)216=6##

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