The height of tree is 8 feet
<h3><u>Solution:</u></h3>
Given, Micah places a mirror on the ground 24 feet from the base of a tree
At that point, Micah's eyes are 6 feet above the ground
And he is 9 feet from the image in the mirror.
To find : height of tree = ?
Let "n" be the height of tree
From the question, we can see there is a directly proportional relationship between heights and distances.
Proportional relationships are relationships between two variables where their ratios are equivalent.
Hence, the height of the tree is 8 feet
The LCM is the lowest number that is a multiple of all three numbers.
First, list the multiples of each number
8: 8, 16, 24, 32,40 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
10: 10, 20, 30 40, 50, 60, 70, 80, 90, 100, 110, 120
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
The LCM is 120 because there is no lower number that is a multiple of all three numbers.
Hope this helped!
The given data can be tabulated as:
number of days,x length
of tunnel (ft), y
0 225
5 350
20 725
30 975
55 1,600
To check if the growth is linear, the slope at points (0,
225) and (5, 350), and (0, 225) and (20, 725) should be equal. The formula for
slope is:
m = (y2 – y1) / (x2 – x1)
Finding for slope (0, 225) and (5, 350):
m = (350 – 225) / (5 – 0) = 25
Finding for slope (0, 225) and (20, 725):
m = (725 – 225) / (20 – 0) = 25
Therefore the equation is linear in the form of:
y = mx + b
where b is the value of y at x = 0, so b = 225
The complete equation is:
y = 25x + 225
At x = 86 days
y = 25(86) + 225
y = 2,375 ft
Therefore the length of the completed tunnel is 2,375
feet.
Answer:
-2
Step-by-step explanation:
Answer:
300- 3e2
106,000 = 1.06e5
0.0000397= 3.97e-5
4,356,000= 4.356e6
0.0157= 1.57e-2
Step-by-step explanation:
