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I found: ##243mm## Consider the cube of side length ##x##. The volume will be equal to ##x^3##. So if we have the entire volume ##V=27^5## we […]

height = 3m The area (A) of a triangle is. ##color(red)(|bar(ul(color(white)(a/a)color(black)(A=1/2bh)color(white)(a/a)|)))## where b is the base and h the perpendicular height. here A = 3.75 and […]

Lateral area is ##72pi## square centimeters. As volume is ##pir^2h## where ##r## is radius and ##h## is height ##36pi=pir^2xx9## or ##36pi=9pir^2## Hence ##r^2=(36pi)/(9pi)=4## or ##r=2## Now […]

The surface area of a cube is given by ##S.A = 6s^2## where ##s## is the side length. ##96= 6s^2## ##16 = s^2## ##s = 4## […]

Cofunction identities are properties like this for two complementary angles ##alpha## & ##beta##: ##sinalpha = cosbeta## ##secalpha = cscbeta## ##tanalpha = cotbeta## ##cosalpha = sinbeta## ##cscalpha […]

That the polygon has seven sides.

##x + g(x) + 72## ##b/B = 4/5## ##A = (B + b)/2 cdot h## ##144 = (B + 4/5 B)/2 cdot 4## ##72 = B […]

TL;WR – Just find the LCD of the two fractions on the left side and proceed to simplify. What I like to do when I have […]

##color(white)(xx)12sqrt3## ##color(white)(xx)sqrt3/2a=h## ##=>sqrt3/2a=6## ##=>color(red)(2/sqrt3*)sqrt3/2a=color(red)(2/sqrt3*)6## ##=>a=(2color(blue)(*sqrt3))/(sqrt3color(blue)(*sqrt3))*6## ##=>a=4sqrt3## ##color(white)(xx)A=(ah)/2## ##color(white)(xxxx)=6*4sqrt3/2## ##color(white)(xxxx)=12sqrt3##