A factory produced 150 tons of steel in one year. The next year, the output increased to 180 tons. What is the percentage increa

Answer:

The cabin is located 567 yards away.

Step-by-step solution:

The bearing angle of 21.2° corresponds to the interior angle near the cabin in the triangle.

Apply the tangent function:

Opposite side length: 220 yards

Adjacent side length: x (distance to cabin)

tan(21.2°) = opposite / adjacent

tan(21.2°) = 220 yards / x

Multiply both sides by x:

x × tan(21.2°) = 220 yards

Isolate x:

x = 220 yards / tan(21.2°)

x = 220 / 0.388

x = 567 yards

Hence, the cabin is 567 yards away.

Response:

The factored expression is .

Detailed explanation:

Provided:

Our goal is to express the given equation in a factored form.

Factoring pertains to rewriting an expression so that the product of its factors yields the original expression

Let’s consider the expression .

We recognize the algebraic identity

Thus, we have .

Matching with the above identity, we assign x= a, and b = 11, leading to

.

Consequently, the factored expression is .