Pentagon A B C D E is reflected across the line of reflection m to pentagon A prime B prime C prime D prime E prime. Pentagon A
2 answers:
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Answer: y = 6x +10.
After 7 weeks there will not be any coconut on the tree.
Step-by-step explanation: Given initial number of coconuts under the tree = 10 coconuts.
The rate of falling of coconuts each week = 6 coconuts per week.
Let us assume number of weeks be x and y be total number of coconuts after x weeks.
So, total number of coconuts after x weeks would be = Rate of falling of coconuts × number of weeks + Initial number of coconuts.
Therefore,
y = 6x +10.
a) y = 6x +10
Let us graph the linear equation with y-intercept 10 and slope rise/run = 6/1.
b) Total number of coconuts after x weeks = 52.
Plugging y=52 in above equation, we get
52 = 6x+10.
Subtracting 10 from both sides, we get
52-10 = 6x=10-10
42 = 6x.
Dividing both sides by 6, we get
42/6 = 6x/6
7 = x.
Therefore, after 7 weeks there will not be any coconut on the tree.
Answer:
Step-by-step explanation:
You'll use similar triangles to solve this. Set up 2 ratios as a proportion. First, however, you have to convert the 15 inches to feet. If everything else is in feet, then EVERYTHING has to be in feet. 15 inches is equal to 1.25 feet. Now for the equation:
The first fraction is made up of the heights, 3 being the height of the plumb bob and x being our unknown height of the flagpole; the second fraction is made up of the distances on the ground. Cross multiply to solve:
1.25x = 18 so
x = 14.4 feet, or 14 feet, 4.8 inches