Billy needs to paint a logo made using two right triangles. the dimensions of the logo are shown below. what is the total area of the two triangles that need to be painted? two right triangles are attached along their longest side. the smaller triangle has height 6 cm and base 2 cm. the height of the larger triangle is 9 cm, and its base is 3 cm.

The area of a triangle is half the multiplication of the base and the height.

So, if the smaller triangle has height 6 cm and base 2 cm, its are is

Similarly, if the height of the larger triangle is 9 cm, and its base is 3 cm, its area is

So, the total area is

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

step-by-step explanation:

left be aligning the decimal points is required to not required see the number of digits to the right