Answer:
I hope this helps!
Step-by-step explanation:
ACB
Answer:
30
Step-by-step explanation:
120/4
Answer: 216 square units
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Explanation:
A common pythagorean triple you may be familiar with is the 3-4-5 right triangle. This has two legs of 3 and 4, and a hypotenuse of 5. The perimeter is 3+4+5 = 7+5 = 12. Note how this is a factor of 72.
If we multiply the perimeter (12) by 6, then 12*6 = 72. So we have scaled the triangle by a factor of 6. Each length is 6 times longer
the side length 3 becomes 3*6 = 18
the side length 4 becomes 4*6 = 24
the side length 5 becomes 5*6 = 30
The new perimeter is 18+24+30 = 42+30 = 72
The last step is to find the area. The two legs of this triangle are the base and height
area = 0.5*base*height
area = 0.5*18*24
area = 9*24
area = 216
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Or you could find the area of the 3-4-5 right triangle to get
area = 0.5*base*height = 0.5*3*4 = 6
then multiply by 36 to get 6*36 = 216. The 36 is the square of the scale factor 6 we applied above. The new lengths are 6 times longer, so the new area is 6^2 = 36 times larger.
The park charges 1.50 per ride.
1. Louisa bought 15 ride tickets at 1.50 each.
Equation: C = Entry Fee + 1.50t
t = 15.
c = 30.75
30.75 = Entry Fee + 1.50(15)
30.75 = Entry fee + 22.50
Entry fee = 30.75 - 22.50
Entry fee = $8.25
2. Entry fee was calculated as 8.25 from #1.
Tickets are 1.50 each.
He can spend 22.
22 = 8.25 + 1.50t
Subtract 8.25 from both sides:
13.75 = 1.50t
Divide both sides by 1.50:
t = 13.75 / 1.50
t = 9.2
He can buy 9 tickets.