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Volume of square pyramid is ##41.67(2dp) cu.ft## Area of the base of square pyramid is ##A_b=5^2=25 sq.ft## We know volume of a Pyramid is ##v_p=1/3*A_b*ht =1/3*25*5=125/3=41.67(2dp) […]

##4 meters## Given: ##SA=208 m^2## ##L=6m## ##H=8m## Missing: ##W=?## substitute all the given to the formula for surface area of a rectangular prism is ##SA=2(LW+LH+WH)## ##208m^2=2[(6m)W+(6m)(8m)+W(8m)]->## […]

This is one of the basic right-angled triangles. In an equilateral triangle each angle is ##60^o## (and all the sides have equal length) From the image […]

Undefined ##csc(x) = 1/sin(x)## so ##csc(180) = 1/sin(180)= 1/0##. Because we’re dividing by 0 it is undefined. To understand why this strange answer makes sense think […]

A scalene triangle can have either ##2## or ##3## acute angles. A scalene triangle is any triangle with no repeated angle measures. There are three general […]

Octagon {Octa} refers to eight {Gon} refers from polygon

0 the cot function may be written as: ## cotx = cosx/sinx ## hence ## cot(pi/2) = cos(pi/2)/sin(pi/2) = 0/1 = 0##

Perimeter is ##23.558## To find the perimeter of a triangle with vertices of ##(12)## ##(34)## and ##(45)## we have to first find distance between each pair […]

See below for the proof: Statements (Reasons) 1) Right ##DeltaABC## with right ##/_C##. ( Given) 2) ##m/_A+m/_B+m/_C=180^@## (Triangle Sum Theorem) 3) ##m/_C=90^@## (Definition of a right […]