Pyramid’s volume is ##56/3## Let they be ##A(8;5);B(6;7);C(5;1);h=8## First you would calculate the area of the triangle ABC by getting the lenght of a side: ##AC=sqrt((x_C-x_A)^2+(y_C-y_A)^2)=sqrt((5-8)^2+(1-5)^2)=sqrt(9+16)=5## […]
See proof in explanation. ##(sin^2 x)/(cos^2 x + 3cosx + 2) =(1-cosx)/(2+cos x) ## Start with the left hand side: ##(1-cos^2 x)/((cos x+1)(cos x + 2)) […]
##SA=lw+lsqrt(h^2+(w/2)^2)+wsqrt(h^2+(l/2)^2)## The surface area will be the sum of the rectangular base and the ##4## triangles in which there are ##2## pairs of congruent triangles. Area […]
The area of circle is ##314.16## square inches and circumference is ##62.832## inches. Area of a circle with radius ##r## is given by ##pir^2## and circumference […]