PLEASE HELP Topic: Trigonometric Functions

1. Is it possible to solve the dimensions of any triangle when given the lengths of two sides and one angle of the triangle? Go over an example of a triangle you have created and solve for the missing dimensions.

2. What would be different if the triangle you were trying to solve was a right triangle? Go over an example of a triangle you have created and solve for the missing dimensions.

3. Is it possible to solve the dimensions of any triangle when given the length of one side and two angles of the triangle? Go over an example of a triangle you have created and solve for the missing dimensions.

4. You are building a house and are making a drawing of the kitchen. The sink is 3 feet away from the dishwasher, and the sink is 8 feet away from the fridge. The included angle between the distances is 48°. How far away is the dishwasher from the fridge? Explain. Are these reasonable dimensions for a kitchen? If not, what would you change?

when studying polynomials, you often hear the terms zeros, roots, factors and x x the multiplicity of a zero is important because it tells us how the graph of the let's look at the graph of a function that has the same zeros

step-by-step explanation:

there is nothing below so i cannot

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240