The distance between you and your friend rounded to the nearest tenth is 10.7 feet.
<h3>How to find the length of a triangle using cosine rule?</h3>
The distance between you and your friend can be found using cosine rule.
Therefore,
c² =a² + b² - 2ab cos C
Therefore,
let
x = distance between him and his friend
x² = 7² + 6² - 2 × 7 × 6 cos 110°
x² = 49 + 36 - 84 × -0.34202014332
x² = 49 + 36 + 28.7296920394
x² = 113.729692039
x = √113.729692039
x = 10.6644124076
x = 10.7 ft
learn more on triangle here: brainly.com/question/2838446
Answer:
f(x+2h)=−(f(x)+2hf′(x)+4h22f′′(x)+o(h3)==−f(x)−2hf′(x)−4h22f′′(x)−o(h3)
f(x−2h)=f(x)−2hf′(x)+4h22f′′(x)−o(h3)
8f(x+h)=8(f(x)+hf′(x)+h22f′′(x)+o(h3)=8f(x)+8hf′(x)+8h22f′′(x)+8o(h3)
−8f(x−h)=−8(f(x)−hf′(x)+h22f′′(x)−o(h3)=−8f(x)+8hf′(x)−8h22f′′(x)+8o(h3)
So
|f′(x)−112h[−f(x+2h)+8f(x+h)−8f(x−h)+f(x−2h)]|==|f′(x)−112h[−4hf′(x)−2o(h3)+16hf′(x)+16o(h3)]|==|f′(x)−f′(x)−14o(h3)12|=o(h3)?
2.
We just plug x+2h,x+h,x−h,x−2h to the approximation and get:
f′′(x)≈[−f(x+4h)−16f(x+3h)+16f(x+h)−130f(x)+64f(x+2h)+64f(x−h)+64f(x−2h)−64f(x−3h)]144h2
Step-by-step explanation:
1/12 + 1/6x = 3/4...multiply everything by common denominator of 12
1 + 2x = 9
2x = 9 - 1
2x = 8
x = 8/2
x = 4 <== he can play 4 rounds
Answer:
33,500,000
Step-by-step explanation:
10 to the 5th power=100000
100000x335=33,500,000
Answer:
Step-by-step explanation:
500+7500=8000
150x50=7500
8000 books were sold over the course of 50 days