Tutor profile: Grace H.
How would you solve for the area of a circle when given the opposite length and center angle of a right angled triangle with a base length running half the diameter of the circle.
The base length would be equal to the radius of the circle. The radius of the circle is required to solve for the area of the circle using the equation pi(r)^2. Using trigonometric ratios we can determine that tan of the center angle would be equal to the opposite length divided by the adjacent length. Thus, the following equation can be used to solve for the radius of the circle which can subsequently be used in the area of a circle equation: (opposite length)/tan(angle)=adjacent side=radius of circle
Subject: Basic Chemistry
How might pH levels impact the ability of a compound to form bonds?
A pH value below 7 is considered an acidic substance, while one above 7 is considered basic. Acidic substances are proton donors and electron pair acceptors, they are able to increase the concentration of H+ ions in an aqueous solution. Basic substances are proton acceptors and electron pair donors, they are able to increase the concentration of OH- in an aqueous substance. These contrasting traits allow for acids and bases to react together in a neutralization reaction, however make it difficult to react with substances of non-compatible charges.
What roles do the various macronutrients play in the function of a cell? Give one example of each.
The core macronutrients are carbohydrates, lipids and proteins. Each plays a different integral role in the cell to allow it to carry out functions needed for survival. Carbohydrates in the form of polysaccharides, can be found attached to glycoproteins on the outside of the cell. These carbohydrates act as receptors as well as adhesion structures to aid in connection with other cells. Glycoproteins not only act as a base for the carbohydrate attachments but also ad structural support to the cell wall. There are several types of proteins which can be found in the cell wall, each with different functions, including structural support and even transport in and out of the cell. Finally, lipids act as the primary substance making up the cell membrane. Phospholipids arrange themselves based on polarity of their different components to create a hydrophobic layer surrounding the cell. This prevents harmful elements from entering the cell.