Answer:
FH = 38
Step-by-step explanation:
Here, given the point of intersection of the two diagonals at E, we want to calculate the length of FH
The point of intersection of the diagonals is the midpoint of each as the diagonals bisect each other
thus,
3x + 4 = 5x - 6
5x-3x = 6+ 4
2x = 10
x= 10/2
x = 5
but Eg is 5x-6
and FH = 2EG
FH = 2(5x-6)
FH = 10x - 12
Substitute x = 5
FH = 10(5) -12
FH = 50-12
FH = 38
The initial height of the tree = 7 ft
Each year the tree grows 6 in. 6 in = 6 / 12 = 0.5 ft
So the tree grows 0.5 ft every year.
After x years, the tree would have grown extra = 0.5*x =0.5x
So the height of the tree would be = Initial height + extra height grown
= 7 + 0.5x
h = 7 + 0.5x
Model is h = 7 + 0.5x,
where h = height of the tree in feet after x years.
Hope this explains it.
Answer:
y = 4/3x - 10
Step-by-step explanation:
Slope: 4/3
y-intercept: -2 - (4/3)(6) = -2 - 8 = -10
Based on the rate that Leon's car uses gas, the time that Leon will stop to get gas is 3:36 pm.
<h3>When will Leon stop to get gas?</h3>
Leon will stop to get gas when the tank is 1/4 full which is:
= 1/4 x 12
= 3 gallons
The rate at which the car uses gas is:
= Gallons used / Time traveled
= 5 / 2
= 2.5 gallons per hour
The number of hours till he has to stop is:
= (12 gallons - 3 gallons) / 2.5
= 3.6 hours
The time that Leon will stop is:
= 12pm + 3.6 hours
= 12 pm + 3 hours 36 minutes
= 1536 hours
= 3:36 pm
Find out more on calculations involving consumption per hour at brainly.com/question/25049845.
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