The distance from friend's village to Lucas's house is 45 miles
Step-by-step explanation:
Lets assume the distance from Lucas home to friend's village is x miles
The time taken to cycle from Lucas home to friend's village is 3 hrs....t₁
The time taken if travelling at a 5 mph reduced speed is 1.5 hrs longer......t₂
t₂=4.5 hrs
t₁= 3 hrs
Speed for cycle in first instance, where t₁=3 hrs and distance is x miles
s₁=d/t = x/3 mph
Speed for cycle if travelling at a slower speed,

Time taken in the second instance when travelling at a slower speed
=
The distance from friend's village to Lucas's house is 45 miles
Learn More
Formula for speed:brainly.com/question/13664094
Keywords: cycle,home, village, travels,slower,longer
#LearnwithBrainly
The equation to show the depreciation at the end of x years is

Data;
- cost of machine = 1500
- annual depreciation value = x
<h3>Linear Equation</h3>
This is an equation written to represent a word problem into mathematical statement and this is easier to solve.
To write a linear depreciation model for this machine would be
For number of years, the cost of the machine would become

This is properly written as

where x represents the number of years.
For example, after 5 years, the value of the machine would become

The value of the machine would be $500 at the end of the fifth year.
From the above, the equation to show the depreciation at the end of x years is f(x) = 1500 - 200x
Learn more on linear equations here;
brainly.com/question/4074386
Answer:
9.7cm
Step-by-step explanation
According to the sine rule;
a/sinA = c/sinC
8/sin55 = c/sin82
Cross multiply
csin55 = 8sin82
c(0.8192) = 8(0.9903)
c = 8(0.9903)/0.8192
c = 7.9221/0.8192
c = 9.67
Hence the value of c to the nearest tenth is 9.7cm
Answer:
number 2
Step-by-step explanation:
Answer:
Hey there!
Area of a square: Length(Length)
324=Length^2
Length=18 ft.
Let me know if this helps :)