Pt1420 Week 1 Mini Research Paper

areas, to have the equal results for all and for all to have the same

Week one, I learned about phytochemicals. They are a non nutrient substance, which means they have no nutrients in them. They are not processed or anything because they are naturally occurring in plants. They cannot be found anywhere else. Phytochemicals are not needed for short term survival, which means you don’t necessary need them. They are good though because they promote long term health. I applied this to my life by making sure I start having phytochemicals in my diet, so I can help out my long term health.

What most surprised me this week was just how similar, by the 1980s, the Progressive-Conservatives and the Liberals when it came to government policy. It is also an interesting commentary on the historical narrative when comparing how Pierre Trudeau and Brian Mulroney in contemporary historiography.

Two numbers have a sum of 20. The sum of their squares is a minimum. Write the two equations required to solve this system of equations.

So we start of with x^2-4x+y^2+8y=-4 you would then take 1/2 of -4 and square it, then take 1/2 of 8 and square it. You would then get x^2-4x+4-4+(y^2+8y+16-16=-4. After all of these steps you would factor the square, x-2^2-4+y+42-16=-4, x-2^2+y+4^2-20=-4. Then you would add 20 to both sides, x-)^2+y+4^2=16

System.out.println( "the area of the Circle with double Radius is = " + area((int) radius));

I labeled the length and width as 4x and 3x. I need to solve for the side lengths. So I made the equation 280= 4x + 3x + 4x +3x. I solved the equation and found that x is equal to 20. So the length is 80 units and the width is 60 units. And I have to multiply the side lengths together to find the area. The area of the rectangle is four thousand eight hundred. Now, to find the area of the circle, I have to find the radius. I saw that if I connected the corners of the building to form a diagonal line, it would form the diameter of the circle. So I made an equation using the pythagorean theorem. I found the hypotenuse was one hundred. I then added one hundred and eight because the pond extends four units on each side. So the radius is fifty-four. And to find

I was always been fascinated about how different the formulas used to calculate the different parts of graphs and shapes in a given model. Ultimately I was attracted to how finding areas under curves can be used for different reasons decides geometrical purposes such as finding gross profit over a certain time, Alternatively finding other important

I think Heron's Formula can be very helpful when you have access to all three sides. It's nice to use because the equation doesn't require the use of an angle like the formula “Area of triangle given SAS.” The simplest formula is A=1/2b*h, however, it requires the height, and Heron's Formula does not need the height to successfully find the area.

Area is used in everyday life when you need to know how much carpet or tiles you need for the floor.Area is also used when you need to know how much dough you need for a pizza.Perimeter is the distance of a 2-d shape which is the measurement of the distance around something.If you buy a fence you need to know the perimeter around the area so you know how much fence to put up or when you buy a belt you need to know the perimeter of your waist.Ratios is a statement of how to numbers compare.Ratios the real world are used when people cook which we do everyday,another example of using ratios in everyday life is when we divide money.Proportions is the name given to a statement that two ratios are equal.For example we use proportions when we need to know the weather,or when we need to know the currency of a different county.Quadratic equations is any equation having the form where x represents an unknown and a,b,c represent known numbers but a is not equal to 0.Quadratic equations is used in the real world when you are doing sports.You need to calculate how far you need to throw a certain object.You need to know the exact time to throw and object so it can land perfectly and that where Quadratic equation comes in.Everyday of our lives we use geometry with out even knowing.Its important we know how to use geometry because the more we know about what we have learned in geometry then, the more we will appreciate and want to actually learn

The square root of 36 is 6, so that means each side is 6 inches. 4 sides that are each 6 inches long is a total of 24 inches, so the perimeter of the pizza is 24 inches. To design two rectangular pizzas each with an area of 36 square inches, you can simply just find the factors of 36. One pair of factors are 4 and 9, so these numbers can represent the length and width of the pizza. Now to find the perimeter of this pizza, you can use the same formula we used for pizza A and B in number 1. Since this pizza has a length of 4 inches and a width of 9 inches, you can multiply 2 by 13 to get a perimeter of 26 inches. Another pair of factors of 36 are 3 and 12, so these numbers can represent the length and width of pizza 2. Once again, you use the same formula to find the perimeter. Since pizza 2 has a length of 3 inches and a width of 12 inches, you can multiply 2 by 15 to get a perimeter of 30 inches. To find the circumference of a round pizza with an area of 36 square inches, you must first find the radius of the

Conic sections are the various gemetric figures created by the interection of a plane. They are among the oldest curves in history and is one of the oldest area of study for mathmaticians. conics were discovered by Menaechmus (c. 375 - 325 BC), a Greek pupil of Plato and Exodus. He was trying to solve the famous problem duplicating a cube. Euclid studied them and Appollonius reinforced and expanded previous results of conics into a book he named Conic Sections. It is a series of eight books with 487 propositions. He applied his findings to the study of planetary motion and it was used to advance the development of Greek astronomy. It is because of Appollonius that the name ellipse, parabola, and hyperbole were

In Arithmetica, Diophantus (250 BC) solved quadratic equations with methods which more closely resembled algebra. However, his solution only gave one root, even when both roots are positive.

The area of the square in the middle then becomes C^2 and the area of four triangle is therefore, the whole area is which proves that . This shows that the both proofs are available, but for geometric proof, it is impossible to proof the theorem or the idea in every thesis. For example, for double-angle formulae of the trigonometric identities, the both proofs can prove the formula, but the Geometric proof is only available in acute angle (algebraic proof uses sine, cosine, tangent, which geometric proof is unavailable). Therefore, for geometric proof, because it is based on geometry, which is based on algebra, it is not stronger than the geometric

Although we do have standard methods to calculate the area of some shapes, calculus allows us to do much more. Trying to find the area on a shape like this would be very difficult if it wasn’t for calculus.