A store has ergonomic chairs on sale for 10% off of the regular price. Cayley finds a chair she wants to buy that has an original price of $325. How much will Cayley pay for the chair if she pays 8.5% tax?

The window frame is a regular octagon. It is made from eight pieces of wood shaped like congruent isosceles trapezoids. What are $\mathrm{m} \angle A, \mathrm{~m} \angle B, \mathrm{~m} \angle C$, and $\mathrm{m} \angle D$ in trapezoid $A B C D$ ?

How many pounds of regular coffee (selling for $4 per pound) and how many pounds of Kona coffee (selling for$11.50 per pound) must be combined to get 20 pounds of a mixture worth $6 per pound?

$\text{\blue{WHAT IF?}}$ Most prairies experience regular fires, typically every few years. If these disturbances were relatively modest, how would the species diversity of a prairie likely be affected if no burning occurred for 100 years? Explain.

Write out the three components of the Navier-Stokes equation in Cartesian coordinates in terms of modified pressure. Insert the definition of modified pressure and show that the x-, y-, and z-components are identical to those in terms of regular pressure. What is the advantage of using modified pressure?

Write the preview word that answers the riddle. Preview Words: base, congruent, heptagon, lateral face, nonagon, polygon, polyhedron, prism, pyramid, regular polygon, unit cube, volume. I am a polygon that connects with the bases of a polyhedron. _________.

Gina can cook basmati rice 3 1/2 times faster in her pressure cooker than in a regular pot. If rice normally cooks in 20 minutes, what is the cooking time in the pressure cooker (to the nearest second)?

A 9-sided shape is called a nonagon.

a) Does a regular nonagon tessellate? Explain your answer.

b) If your answer to Part A is yes, sketch the tessellation.

c) If your answer to Part A is no, sketch a nonagon that tessellates.

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Graphical Reasoning Consider an n-sided regular polygon inscribed in a circle of radius r. Join the vertices of the polygon to the center of the circle, forming $n$ congruent triangles.
Let $A_n$ be the sum of the areas of the $n$ triangles. Find $\lim _{n \rightarrow \infty} A_{n^{-}}$

Indicate the best answer by writing the appropriate letter.

What is the area of a regular hexagon inscribed in a circle with radius 8 ? a. $16 \sqrt{3}$ b. $96 \sqrt{3}$ c. $128 \sqrt{3}$ d. $192 \sqrt{3}$

T.R. tells you he took 35 units glargine (Lantus) insulin and 12 units of regular (Humulin R) insulin at 0745. He says he was late to class, so he just grabbed an apple on the way. \

The height of a regular square pyramid is equal to the side length of the base. The expression 3x - 17.5 represents the height and 6y - 3 represents the side length of the base. If y = 7, what is x? What is the volume of the pyramid? What is its surface area?

A regular triangular pyramid has a base length of 3.5 meters, a height of 1.3 meters, and a surface area of 21 square meters. What is the approximate slant height of the pyramid? Justify your answer by showing how you found it.

A 7-sided shape is called a heptagon.

a) Does a regular heptagon tessellate? Explain your answer.

b) If your answer to Part A is yes, sketch the tessellation.

c) If your answer to Part A is no, sketch a heptagon that tessellates.

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