What is the area of the right triangle shown below?

1.5

Step-by-step explanation:

base x height x 0.5

Pythagorean theorem: c^2 - a^2 = b^2

b = square root of (2.5)^2 - (1.5)^2

= 2

b = height

area = 0.5 x 1.5 x 2 = 1.5

1.5

Step-by-step explanation:

Use the Pythagorean Theorem. A^2 + b^2 = c^2

A and b being the sides and C being the hypotenuse.

2.5^2 - 1.5^2 = 4

Square root of 4 is 2.

Then you use the area of a triangle formula. 1/2 * base * height = Area of a triangle.

1.5 * 2 * 0.5 = 1.5

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204