The cost of a council tax bill increased by 5%.
1 answer:
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Answer: 21.9ft
Step-by-step explanation: please see attachment for explanation. Thanks.!
Answer:
21.68 minutes ≈ 21.7 minutes
Step-by-step explanation:
Given:
Initial temperature
T = 100°C
Final temperature = 60°C
Temperature after (t = 3 minutes) = 90°C
Now,
using the given equation
at T = 90°C and t = 3 minutes
or
taking the natural log both sides, we get
3k =
or
3k = -0.2876
or
k = -0.09589
Therefore,
substituting k in 1 for time at temperature, T = 65°C
or
or
or
taking the natural log both the sides, we get
( -0.09589)t = ln(0.125)
or
( -0.09589)t = -2.0794
or
t = 21.68 minutes ≈ 21.7 minutes
Answer:
The perimeter of triangle XYZ is 54 cm
Step-by-step explanation:
- In similar triangles, their corresponding sides are proportional, which means the ratios of the corresponding sides are equal
- Their perimeters have the same ratio as their corresponding sides, which means P1 = r × P2, where r is the ratio of similarity
- Their areas have the square of the ratio as their corresponding sides, which means A1 = r² × A2
∵ Δ ABC is similar to Δ XYZ
∵ The longest side in Δ XYZ is 25.2 cm
→ That means its corresponding side in Δ ABC is the longest side
∵ AB = 18 cm, BC = 30 cm, CA = 42 cm
∴ The longest side in Δ ABC is CA
∴ CA is the corresponding side of the side of length 25.2 cm
∴ The ratio of similarity = = 0.6 ⇒ (r)
∵ The perimeter of Δ ABC = AB + BC + CA
∴ The perimeter of Δ ABC = 18 + 30 + 42
∴ The perimeter of Δ ABC = 90 cm
→ Use the 2nd fact above
∵ P of Δ XYZ = r × P of Δ ABC
∵ r = 0.6 and P of Δ ABC = 90
∴ The perimeter of Δ XYZ = 0.6 × 90
∴ The perimeter of Δ XYZ = 54 cm