I don’t understand how I would do this someone help please!

142.0842

Step-by-step explanation:

Look at the figure below.

Use the altitude to create two right triangles, a blue one to the left and a red one to the right.

We need to find x, and x = a + b.

We can find a from the blue triangle, and we can find b from the red triangle.

Blue triangle:

tan 65° = opp/adj

tan 65° = 75/a

a * tan 65° = 75

a = 75/tan 65°

Red triangle:

tan 35° = opp/adj

tan 35° = 75/b

b * tan 35° = 75

b = 75/tan 35°

x = a + b

x = 75/tan 65° + 75/tan 35°

x = 34.97307436 + 107.1111005

x = 142.0841749

142.0842

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step-by-step explanation:

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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