Find the missing side lengths. Write your answers in simplest radical form with the denominator rationalized. Please answer the best you can if you choose to answer, as I don't want to give away all my points for nothing.

Step-by-step explanation:

Required

Find x and y

From the triangle, we can see that x is the longest side (i.e. the hypotenuse)

The sin of an angle is:

The relationship between the given angle (30 degrees), x and 5/2 is:

Cross Multiply:

Solve for x

So, the expression becomes

To solve for y, we make use of Pythagoras theorem:

Substitute 5 for x

Solve for

Square root of both sides

Express 75 as 25 * 3

Split:

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

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.