30 60 90 right triangle on the right
ratio of short leg: long leg :hypo = a: a√3: 2a
So if hypo = 52 cm then short leg = 52/2 = 26 cm
The other right triangle on the left is 45 45 90 because it has 2 equal sides
ratio of leg: leg :hypo = a: a: a√2
the leg = 26 cm
so hypo x = 26√2
Answer
26√2 cm
D is the correct answer. Mike and Kate require $8000 for their wedding and have saved $4000 already, so they need a further $4000. They have saved the money over 12 months, which means they have been saving $333.33 every month (4000/12). In Option A they have 10 months to save money - the original 8 months, plus the 2 months the wedding is postponed. This will give them the chance to save $3333.33 (333.33 x 10). In Option B, they can increase their monthly savings by $80, giving them total monthly savings of $413.33 (333.33 + 80). In the remaining 8 months before the wedding, they will be able to save $3306.66 (413.33 x 8). However, neither of these options give them the $4000 required to make their $8000 budget.
Let the cost of jacket before sales tax be z.
sales tax = $2.38
When the sales tax was included the jacket = $37
Cost of Jacket + Sales tax = 37
z + 2.38 = 37 Equation
z = 37 - 2.38
z = 34.62
Hence cost of jacket = $34.62
Hope this explains it.
12x + 18y + 18x
combine like terms
30x + 18y
factor out 6
6 (5x + 3y)
