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• in a right triangle, if ∠θ = 45° and the side opposite to ∠θ is equal to meters, what is the approximate length of the hypotenuse? a. meters b. meters c. meters d. meters e. meters
  
• although 330° is a special angle on the unit circle, amar wanted to determine its coordinates using the sum and difference formulas. part a: determine cos 330° using the cosine sum identity. be sure to include all necessary work. (5 points) part b: determine sin 330° using the sine difference identity. be sure to include all necessary work. (5 points)
  
• the area of a rectangle is x2−42x in.2 and its length is (x+2)22 in. what is the width in inches?
  
• a substance is on its fifth half-life. which approximates the percentages of radioactive and stable isotopes, respectively?
  
• which one of the following is not one of the factors that affect the s/q rating of a company's footwear?
  
• which principle suggests that there is no way to discriminate between right and wrong in morality?
  
• when a drawing of a circle made in the center of a piece of paper with a black marker gets wet, the marker bleeds, and as the water moves through the paper the ink separates into several colors. what method of separation does this describe? evaporation distillation filtration chromatography
  
• the case of 12 bottles of shampoo holds a total of 126 ounces. if each bottle of shampoo contains the same amount, which represents the total volume of shampoo in ounces, y, of any number of bottles, x? 12 y = 126 y = (startfraction 12 over 126 endfraction) x volume of shampoo on a coordinate plane, the x-axis is labeled number of bottles and the y-axis is labeled total volume (in ounces). a line goes through points (1, 10) and (4, 42). volume of shampoo on a coordinate plane, the x-axis is labeled number of bottles and the y-axis is labeled total volume (in ounces). a line goes through points (1, 10) and (40, 3.8).
  
• chantal was eating raisins and a few of them fell into her glass of drinking water. she finished eating the rest of the raisins. when she went to dump out the water in her glass, she observed that the raisins had become swollen. why would this have happened? a. the water content from the raisins moved into the glass of water. b. the water in the glass entered the raisins. c. the grapes used for making the raisins weren’t properly dried. d. the raisins were bad-quality raisins and therefore were swollen.
  
• briefly explain how the presence of charged ions in ionic solids such as nacl