Solve each inequality.
1 answer:
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Answer:
The value of x is
Step-by-step explanation:
we know that
An equilateral triangle has three equal sides and three equal internal angles (each internal angle measure 60 degrees)
In this problem
see the attached figure to better understand the problem
In the right triangle ABD
Solve for AB
we have
substitute
Given that Julia ran and bike for a total of 40 miles in 5.8 hours.
Let x be the running time and y be the biking time.
So, x+y=5.8
y = 5.8 -x ,this is our first equation.
We are also given that average running speed of Julia = 5.5 mph
Distance ran by Julia in x hours = speed * time =5.5x
Given average biking speed of Julia = 13.5mph
Distance covered by biking in y hours = speed* time = 13.5 y
So total distance covered by julia = 5.5x+13.5y
But given this distance is 40 miles.
That is 5.5x+13.5y = 40
Let us plugin first equation in above step.
5.5x+13.5(5.8-x) = 40
5.5x+78.3-13.5x = 40
78.3-8x = 40
8x = 78.3-40 = 38.3
= 4.8 hours
let us plugin this in our first equation
y= 5.8-x = 5.8-4.7875 = 1.0125 hours = 1.0 hours
a) Julia ran for 4.8 hours
b) Julia biked for 1.0 hours