Answer: ABC EASY AS 123
Step-by-step explanation:
Answer:
x=2ln(2)/(2ln(2)-ln(3))
Step-by-step explanation:
ln(4^x-1)=ln(3^x)
(x-1)ln(4)=ln(3^x)
(x-1)ln(4)=xln(3)
ln(4)x-ln(4)=xln(3)
ln(4)x=ln(3)x+2ln(2)
2ln(2)x-ln(3)x=2ln(2)
(2ln(2)-ln(3))x=2ln(2)
Therefore, x=2ln(2)/(2ln(2)-ln(3))
The length of a in the triangle to the nearest tenth is 8.1 units.
<h3>How to find side of a triangle?</h3>
The side a of the triangle can be found using cosine formula.
Therefore,
a²= b² + c² - 2bc cos A
a² = 10² + 12² - 2 × 10 × 12 cos 42°
a² = 100 + 144 - 240cos 42
a² = 244 - 178.354758115
a = √65.6453
a = 8.10217871933
a = 8.1
learn more on triangle here: brainly.com/question/7831188
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Answer:
1 yard of wire or 8/8 yard of wire
Step-by-step explanation:
To figure out how much wire he has left you need to take 3 from 11 which equals 8. You do not change the 8 that is behind the 3 or 11. This means you have 8/8 or 1 yard of wire.