A support structure is shaped like a right triangle. If the top angle is 43 degrees, and one side is 10 ft. long, how many degrees is the last angle?
2 ways: 1. 180 degrees in triangle 90+43+x=180 133+x=180 x=47 2. SOHCAHTOA tan(43)=10/x x=10.7 tan(10.7/10)=47 47 degrees
Tim goes the to grocery store and buys 8 apples. Throughout the week, he eats 5. If Tim wants have 12 apples in his fridge, how many apples should he buy at the grocery this week?
8-5=3 12-3=9 9 apples
Beth is hosting a 4th of July party for her family. She has 5 more Hamburgers then she does Hot Dogs. If she has a total of 165 oz. of ketchup, and each Hamburger and Hot Dog needs 3 oz. of ketchup, how many Hamburgers and Hot Dogs does Beth have?
x= Hamburger y= Hot Dogs y= x-5 3(x)+3(y)=165 3(x)+3(x-5)=165 3x+3x-15=165 6x=180 x=30 y=x-5 y=25