In the following sentences, circle the word that each underlined participial phrase modifies and draw an arrow from the participial phrase to the word it modifies.

Example 1. $\underline{\text{Standing at home plate}}$, $\boxed{\text{Jesús}}$ faced the pitcher.

$\underline{\text{Stopping to tie my shoelace}}$, I noticed an unusual insect on the sidewalk.

Refer to a right triangle $\triangle DEF$ where $e$ is the opposite, $d$ is the adjacent, $f$ is the hypotenuse and $\angle df=60^\circ$. Copy and complete the table.

Rayonier Forrest Resources purchased a small tract of timberland for $70,000 that contained 25,000 trees. The value of the bare land was estimated to be$20,000. The annual percentage depletion factor for timber is 10%. In the first year of operation, the lumber company cut down 7000 trees. According to the cost depletion method, the depletion deduction for year 1 would be closest to: (a) $2000 (b)$7000 (c) $10,000 (d)$14,000

A 14-foot piece of lumber is to be placed as a brace, as shown in the figure. Assuming all the lumber is 2 inches by 4 inches, find $\alpha$ and $\beta$.

The height of the brace is 4 feet

Copy and complete each statement for $\triangle$ R S T for medians $\overline{R M}, \overline{S L}$, and $\overline{T K}$, and centroid J.

J T = x(T K)

Find the $x$ - and $y$-components, to the nearest whole number, of vector $\mathbf{u}$ that has a magnitude of 12 and makes a counterclockwise angle of $62^{\circ}$ with the $x$-axis.

Divide.

$$(x^3-3x^2-x-10)÷(x^2+3x-1)$$

Determine the expression using a single exponent.

$$2^2 \cdot 2^2 \cdot 2^2$$

To determine the number of foxes in King County, a naturalist catches, tags, and then releases 25 foxes. Later, 36 foxes are caught; 4 of them have tags. Estimate the fox population of the county.

Write the given expression as a single trigonometric function.

$$1-2 \sin ^2 \dfrac{\pi}{8}$$

What is the product of the geometric mean of 2 and 32 and the geometric mean of 1 and 4? F. 16 G. 19 H. 32 J. 256

Vector $\mathbf{R}$ has length $9.00 \mathrm{~cm}$ at $40.0^{\circ}$. Determine its $x$ - and $y$-components.

Simplify to a trigonometric function of a single angle.

$$\frac { 2\tan 4x } { 1 - \tan ^ { 2 } 4x }$$

Forda Lumber Company owns a 7,000-acre tract of timber purchased in 2006 at a cost of $1,300 per acre. At the time of purchase, the land was estimated to have a value of$300 per acre without the timber. Forda Lumber Company has not logged this tract since it was purchased. In 2020. Forda had the timber cruised. The cruise (appraiser) estimated that each acre contained 8,000 board feet of timber. In 2020, Forda built 10 miles of roads at a cost of $7,840 per mile. After the roads were completed, Forda logged and sold 3.500 trees containing 850,000 board feet.

Instructions

a. Determine the cost of timber sold related to depletion for 2020.

b. If Forda depreciates the logging roads on the basis of timber cut, determine the depreciation expense for 2020.

c. If Forda plants five seedlings at a cost of$4 per seedling for each tree cut, how should Forda treat the reforestation?