| How to Calculate Angles Posted: 01 Jul 2022 09:00 AM PDT In geometry, an angle is the space between 2 rays (or line segments) with the same endpoint (or vertex). The most common way to measure angles is in degrees, with a full circle measuring 360 degrees. You can calculate the measure of an angle in a polygon if you know the shape of the polygon and the measure of its other angles or, in the case of a right triangle, if you know the measures of two of its sides. Additionally, you can measure angles using a protractor or calculate an angle without a protractor using a graphing calculator. [Edit]Calculating Interior Angles in a Polygon - Count the number of sides in the polygon. In order to calculate the interior angles of a polygon, you need to first determine how many sides the polygon has. Note that a polygon has the same number of sides as it has angles.[1]
- For instance, a triangle has 3 sides and 3 interior angles while a square has 4 sides and 4 interior angles.
- Find the total measure of all of the interior angles in the polygon. The formula for finding the total measure of all interior angles in a polygon is: (n – 2) x 180. In this case, n is the number of sides the polygon has. Some common polygon total angle measures are as follows:[2]
- The angles in a triangle (a 3-sided polygon) total 180 degrees.
- The angles in a quadrilateral (a 4-sided polygon) total 360 degrees.
- The angles in a pentagon (a 5-sided polygon) total 540 degrees.
- The angles in a hexagon (a 6-sided polygon) total 720 degrees.
- The angles in an octagon (an 8-sided polygon) total 1080 degrees.
- Divide the total measure of all of a regular polygon's angles by the number of its angles. A regular polygon is a polygon whose sides are all the same length and whose angles all have the same measure. For instance, the measure of each angle in an equilateral triangle is 180 ÷ 3, or 60 degrees, and the measure of each angle in a square is 360 ÷ 4, or 90 degrees.[3]
- Equilateral triangles and squares are examples of regular polygons, while the Pentagon in Washington, D.C. is an example of a regular pentagon and a stop sign is an example of a regular octagon.
- Subtract the sum of the known angles from the total measure of the angles for an irregular polygon. If your polygon doesn't have sides of the same length and angles of the same measure, all you need to do is add up all of the known angles in the polygon. Then, subtract that number from the total measure of all of the angles to find the missing angle.[4]
- For example, if you know that 4 of the angles in a pentagon measure 80, 100, 120, and 140 degrees, add the numbers together to get a sum of 440. Then, subtract this sum from the total angle measure for a pentagon, which is 540 degrees: 540 – 440 = 100 degrees. So, the missing angle is 100 degrees.
[Edit]Finding Angles in a Right Triangle - Remember that every right triangle has one angle equal to 90 degrees. By definition, a right triangle will always have one angle that's 90 degrees, even if it's not labeled as such. So, you will always know at least one angle and can use trigonometry to find out the other 2 angles.[5]
- Measure the length of 2 of the triangle's sides. The longest side of a triangle is called the "hypotenuse." The "adjacent" side is adjacent (or next to) to the angle you're trying to determine.[6] The "opposite" side is opposite to the angle you're trying to determine. Measure 2 of the sides so you can determine the measure of the remaining angles in the triangle.[7]
- Use the sine function if you know the length of the opposite side and the hypotenuse. Plug your values into the equation: sine (x) = opposite ÷ hypotenuse. Say that the length of the opposite side is 5 and the length of the hypotenuse is 10. Divide 5 by 10, which is equal to 0.5. Now you know that sine (x) = 0.5 which is the same as x = sine-1 (0.5).[8]
- If you have a graphing calculator, simply type 0.5 and press sine-1. If you don't have a graphing calculator, use an online chart to find the value. Both will show that x = 30 degrees.
- Use the cosine function if you know the length of the adjacent side and the hypotenuse. For this type of problem, use the equation: cosine (x) = adjacent ÷ hypotenuse. If the length of the adjacent side is 1.666 and the length of the hypotenuse is 2.0, divide 1.666 by 2, which is equal to 0.833. So, cosine (x) = 0.833 or x = cosine-1 (0.833).[9]
- Plug 0.833 into your graphing calculator and press cosine-1. Alternatively, look up the value in a cosine chart. The answer is 33.6 degrees.
- Use the tangent function if you know the length of the opposite side and the adjacent side. The equation for tangent functions is tangent (x) = opposite ÷ adjacent. Say you know the length of the opposite side is 75 and the length of the adjacent side is 100. Divide 75 by 100, which is 0.75. This means that tangent (x) = 0.75, which is the same as x = tangent-1 (0.75).[10]
- Find the value in a tangent chart or press 0.75 on your graphing calculator, then tangent-1. This is equal to 36.9 degrees.
- Angles are given names according to how many degrees they measure. As noted above, a right angle measures 90 degrees. An angle measuring more than 0 but less than 90 degrees is an acute angle. An angle measuring more than 90 but less than 180 degrees is an obtuse angle. An angle measuring 180 degrees is a straight angle, while an angle measuring more than 180 degrees is a reflex angle.
- Two angles whose measures add up to 90 degrees are called complementary angles. (The two angles other than the right angle in a right triangle are complementary angles.) Two angles whose measures add up to 180 degrees are called supplementary angles.
[Edit]References [Edit]Quick Summary |
| How to Make Rosemary Oil Posted: 01 Jul 2022 01:00 AM PDT Rosemary oil is a popular infused oil used in cooking and beauty treatments. If you want to make rosemary oil quickly, heat a few sprigs of fresh rosemary in your oil of choice. However, keep in mind that this oil must be used within a week or it could go rancid. Alternatively, use dried rosemary to create an oil with a longer shelf life. Dried rosemary can be mixed with your oil of choice in a canning jar and set in a sunny place to slowly infuse into an edible oil. This method can be used with prepackaged dried rosemary or your own homemade dried rosemary. [Edit]Ingredients Fresh Rosemary Oil - Three or four sprigs of fresh rosemary
- Two cups (475 ml) of oil (olive oil, jojoba oil, or sweet almond oil)
Dried Rosemary Oil - Three or four sprigs of dried rosemary OR
- One large tablespoon of dried rosemary
- About two cups (475 ml) of olive oil
[Edit]Using Fresh Rosemary - Wash and measure the rosemary. Wash a few sprigs of fresh rosemary under cold, running water to remove any dirt and debris. Next, remove the leaves from the stem and measure out about a cup of leaves.[1]
- Leftover rosemary leaves can be discarded or set aside for other recipes.
- Fill a small saucepan with oil. Measure out two cups of oil and pour them into a small saucepan. Most people prefer to use olive oil for its flavor, cooking uses, and cosmetic applications. However, if you're planning on exclusively using your oil for beauty purposes, you can use jojoba oil or sweet almond oil.[2][3]
- Jojoba oil and sweet almond oil should not be eaten or used in cooking.
- Heat the rosemary in the oil. Add the rosemary sprigs to the saucepan. Place the pan over low heat on your stove. Heat the rosemary for five to ten minutes, stirring constantly.[4] As the oil warms up, it will begin to smell like rosemary.
- If the oil begins bubbling around the rosemary, the oil is too hot. Reduce the heat and stir.
- Strain and cool the oil. Place a metal colander in a large metal bowl. Pour the oil mixture into the colander to strain out the rosemary pieces. Discard the leftover pieces of rosemary and let the oil cool in the bowl. [5]
- Metal strainers and cheesecloths can also be used to strain the oil. Make sure the oil has cooled before using these tools.
- Bottle the oil. Once the oil has cooled to room temperature, it can be poured into a clean bottle. Label the bottle with the bottling date and the ingredients used. However, resist the urge to add a sprig of rosemary to the bottle. It looks pretty, but it can cause harmful bacteria to grow in the oil.[6]
- Refrigerate the oil. Oils infused with fresh herbs should be refrigerated and used within the week.[7] This will prevent the growth of any harmful bacteria that could cause the oil to become rancid.
- If the oil is a gift, be sure to include a "use by" date on the label.
[Edit]Infusing Oil with Dried Rosemary - Sanitize a canning jar. Fill a large, deep pot with water and place it over medium-high heat. Once the water comes to a boil, use tongs to place the canning jar in the water. Let the jar boil for ten minutes to kill any harmful bacteria that may ruin your rosemary oil.
- You don't need to boil the lid. Instead, wash the lid with soap and water and let it air dry.[8]
- You can also use a boiling-water canner to sterilize the canning jar. If so, follow the manufacturer instructions.
- Put dried rosemary in the jar. If you dried your own rosemary, place three to four sprigs in the jar. If you're using prepackaged dried rosemary, add a large tablespoon to the canning jar.[9]
- Do not use fresh, undried rosemary. If you do, your oil will become rancid and might grow harmful Botulism bacteria.[10]
- Pour oil over the rosemary. Fill the jar with olive oil, leaving about half an inch (1.2 centimeters) of space at the top. Make sure all of the rosemary is completely submerged in the oil.[11] If necessary, use a clean spoon to push dried rosemary into the oil.
- You could also use coconut oil in place of olive oil.[12]
- Set the jar in the sun. Screw the lid onto the canning jar and set it in a sunny place. Let it sit undisturbed for two weeks.[13] During this time, the oil will slowly heat and become infused with rich rosemary flavors. After two weeks, you can use your rosemary oil.
- Strain the oil. Place a cheesecloth in a large metal bowl. The edges of the cheesecloth should hang over the sides of the bowl. Next, pour the contents of the canning jar into the cheesecloth. Gather the cheesecloth into a bundle and squeeze it over the bowl to separate the oil from the small dried rosemary pieces.[14]
- Use clean hands to squeeze the cheesecloth.
- Discard the leftover pieces of rosemary.
- Store the rosemary in your pantry. Pour the strained olive oil back into the canning jar and replace the lid. If you want, add a sprig of dried rosemary to the oil for decoration. Oils infused with dried herbs have a shelf life of one year. [15]
[Edit]Drying Fresh Rosemary - Wash fresh rosemary. Fresh rosemary can be harvested from your own rosemary bush or purchased at the grocery store. Wash the sprigs of fresh rosemary under running water to remove dirt and debris. Pat the rosemary with a paper towel to remove excess water or use a salad spinner.
- You will need three to four sprigs of rosemary to make one canning jar's worth of rosemary oil.
- Dried rosemary has a very long shelf life. Dry as much as you want, even if you don't plan on using it all for rosemary oil.
- Place the rosemary on a baking sheet. Line a large baking sheet with a large piece of parchment paper. Next, place the rosemary on the baking sheet in a single layer. If you overcrowd the rosemary, it won't dry properly in the oven.
- Dry the fresh rosemary in the oven. Preheat your oven on the lowest setting for ten minutes. Next, place the baking sheet of rosemary in the oven. Let the rosemary bake for two to four hours.
- When the rosemary is done drying, it will crumble easily between your fingers.
- Let the sprigs cool completely before making rosemary oil.
[Edit]References [Edit]Quick Summary |
| How to Bake Hot Dogs Posted: 30 Jun 2022 05:00 PM PDT You don't need a campfire or stove top to cook your hot dogs. You can easily bake them at home in your oven. Bake raw hot dogs on their own on a baking sheet, or bake them in hot dog buns in a pan. Whichever way you choose to bake your hot dogs, make sure you have an assortment of your favorite toppings ready to top them off with! [Edit]Baking Plain Hot Dogs - Turn on the oven and prepare a baking sheet. Preheat the oven to 400°F (204°C). Spread the hot dogs you want to bake out on the baking sheet so they're not touching. If you can't fit all the hot dogs on one baking sheet, use a second sheet.[1]
- Use a knife to slice the hot dogs down the middle lengthwise. Cut halfway down into the hot dogs with the knife. Cut all the way from one end of each hot dog to the other.[2]
- Put the hot dogs in the oven for 15 minutes. Set a timer so you don't forget about them. After 15 minutes, open the oven to check on the hot dogs. If they look slightly brown and curled at the edges, they're finished. If not, leave them in for a few more minutes.[3]
- For a slightly browner, crispier hot dog, set your oven to broil for the last 2-3 minutes of baking.
- Take the hot dogs out of the oven and serve. Use a spatula to transfer the hot dogs from the baking sheet to a plate. Serve them in hot dog buns and add toppings like cheese, mustard, ketchup, and relish.[4]
- If you want melted cheese on your hot dogs, top them with cheese and put them back in the oven for 1 minute.
[Edit]Baking Hot Dogs with Buns - Turn on the oven and line a baking pan with aluminum foil. Preheat the oven to 350°F (177°C). Make sure the aluminum foil comes up the sides of the pan. Use a pan that's large enough to hold all the hot dogs you want to bake. If you don't have one that's big enough, line two baking pans.[5]
- Arrange hot dog buns side by side in the lined baking pan. Place the hot dog buns in the pan so they're touching. Fill the pan completely with a single layer of hot dog buns so none of them tip over when they're baking. Use one hot dog bun for every hot dog you want to bake.[6]
- For extra flavor, coat the insides of the hot dog buns with butter or mayonnaise before you put them in the baking pan.
- Fill the buns with hot dogs and your favorite toppings. Place one hot dog in each hot dog bun. Add toppings like mustard, cheese, onions, chili, and relish. Sprinkle the toppings directly on the hot dogs in the buns.[7]
- Cover the pan with aluminum foil and put it in the oven for 45 minutes. Wrap the edges of the aluminum foil over the sides of the pan so it stays on in the oven. Set a timer for 45 minutes. After 45 minutes, take the pan out of the oven. The toppings on your hot dogs should be melted and the hot dog buns should be slightly browned.[8]
- Serve the hot dogs. Carefully transfer the hot dogs from the pan to a plate using a spatula. Eat the hot dogs with your hands or use a fork and knife.[9]
[Edit]Broiling Hot Dogs - Set your oven to "broil" and prepare a baking sheet. Look on your oven's temperature knob for the broil setting. Place your hot dogs on a baking sheet so they're in a single layer. None of the hot dogs should be touching.[10]
- Put the hot dogs in the oven and broil for 4 minutes. Place the baking sheet on the top rack of the oven so it's directly under the broiler's heat source. Set a timer for 4 minutes.[11]
- Flip the hot dogs with tongs and broil them for 4 more minutes. Use an oven mitt to pull out the baking sheet so you can easily flip the hot dogs. Put the hot dogs back on the top rack of the oven and set another timer for 4 minutes. [12]
- Take the broiled hot dogs out of the oven and serve. Carefully transfer the hot dogs to a plate using the tongs. Put the broiled hot dogs in buns and serve with your favorite toppings.[13]
[Edit]Things You'll Need [Edit]Baking Plain Hot Dogs - Hot dogs
- Baking sheet
- Knife
- Toppings
[Edit]Baking Hot Dogs with Buns - Baking pan
- Aluminum foil
- Hot dogs
- Hot dog buns
- Toppings
[Edit]Broiling Hot Dogs - Baking sheet
- Tongs
- Hot dogs
- Toppings
[Edit]References [Edit]Quick Summary |
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