Find value of x. Round answer to nearest tenth.

Step-by-step explanation:

From the given right angle triangle,

The hypotenuse of the right angle triangle is 10.

With m∠x as the reference angle,

the adjacent side of the right angle triangle is 6

the opposite side of the right angle triangle is the unknown side.

To determine x, we would apply

the Cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cosx = 6/10 = 0.6

x = Cos^-1(0.6)

x = 53.1° to the nearest tenth.

The linear inequality form is .

Step-by-step explanation:

Given : The school band wishes to raise a minimum of $800 by selling tickets to their holiday concert. They make $3 from each student ticket and $5 from each adult ticket.

To find : Linear inequality can be used to find the combinations of adult and student tickets that they can sell to meet their goal?          

Solution :

Let x represent the number of student tickets.

Let y represent the number of adult tickets.

Cost of ticket per student = $3

Cost of ticket of students = 3x

Cost of ticket per adult student = $5

Cost of ticket of adult students = 5x

The school band wishes to raise a minimum of $800 by selling tickets to their holiday concert.

i.e, minimum $800 is the least amount

The linear inequality form is .