On a coordinate plane, a curved line begins at point (negative 2, negative 3), crosses the y-axis at (0, negative .25), and the

YA + AZ = YZ

22 + 16x = 166

16x = 166 - 22

16x = 144

x = 144/16

x = 9

AZ = 144

Answer:

Assuming the null hypothesis—indicating there is no discrepancy between the cell phone expenses of in-state versus out-of-state individuals.

Step-by-step explanation:

Answer: Distance between parent and coach is 24.05m

Step-by-step explanation:

The angle of sight from coach to the ground (θ) = 38°

The angle of sight from the parent to the ground (θ) = 30°

The diving platform height = 10m

Calculating the horizontal distance (x) from coach to Melanie:

Tanθ = opposite / adjacent

Tan 38° = 10 / x

x = 10 / 0.7812856

x = 12.79m

Horizontal distance (y) from parent to Melanie:

Tanθ = opposite / adjacent

Tan 30° = 10 / y

y = 10 / 0.5773502

y = 17.32m

Angle at the diving platform base between coach and parent = 105°

To find the distance (a) from coach to parent, we use the cosine law.

a^2 = x^2 + y^2 - 2bcCosA

Here, a, b, and c denote side lengths, and A is the angle between them

Thus,

a^2 = 12.79^2 + 17.32^2 - 2(12.79)(17.32)Cos105°

a^2 = 163.5841 + 299.9824 − (-114.6686)

a^2 = 163.5841 + 299.9824 + 114.6686

a^2 = 578.2351

a = √578.2351

a = 24.046519

a = 24.05m