The thing about that problem is that when the circle is inscribed inside that triangle, the side measures created are doubled. By that I mean that the 9 on the top right is also the measure of the top left. Same thing for the 13 and the 16. The lower left unmarked side length is 13, the lower right side length is 16. Now add it all up: 9+9+13+13+16+16
The answer is 894cm<span> ². 13 x 9 x 2 + 15 x 9 x 2 + 15 x 13 x 2 = </span>894
-29 because negative plus positive = negative
Answer:
We know that each cube with a -inch edge length has a volume of cubic inch, because . Since the prism is built using 24 of these cubes, its volume, in cubic inches, would then be , or 3 cubic inches.
Step-by-step explanation:
(a) 4
(b) y = sqrt(9 - (9/16)x^2)
The best guess to the formula using knowledge of the general formula for an ellipse is:
x^2/16 + y^2/9 = 1
(a). An ellipse is reflectively symmetrical across both the major and minor axis. So if you can get the area of the ellipse in a quadrant, then multiplying that area by 4 would give the total area of the ellipse. So the factor of 4 is correct.
(b). The general equation for an ellipse is not suitable for a general function since it returns 2 y values for every x value. But if we restrict ourselves to just the positive value of a square root, that problem is easy to solve. So let's do so:
x^2/16 + y^2/9 = 1
x^2/16 + y^2/9 - 1 = 0
x^2/16 - 1 = - y^2/9
-(9/16)x^2 + 9 = y^2
9 - (9/16)x^2 = y^2
sqrt(9 - (9/16)x^2) = y
y = sqrt(9 - (9/16)x^2)