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
Answer: x= 1/3 - 2/3y
Step-by-step explanation:
Answer:
0.273
Step-by-step explanation:
Let the number of insured pieces of luggage be <em>i</em> and <em>u</em> be the number of uninsured pieces of luggage, therefore,
<em>i </em>+ <em>u </em> = 27
Now,
probability that exactly one of the damaged pieces of luggage is insured = (iC1)(uC3)/(27C4)
probability that none of the damaged pieces are insured = (uC4)/(27C4)
and,
(iC1)(uC3)/(27C4) = 2 (uC4)/(27C4)
=> <em>u − </em>2<em>i </em>= 3
By solving, <em>i </em>+ <em>u </em> = 27 and <em>u − </em>2<em>i </em>= 3
<em>i</em> = 8 and <em>u</em> = 19
and,
(8C2)(19C2)/(27C4) = 0.273
Answer:
The positive integers are 8 and 4
Step-by-step explanation:
Let the bigger integer be x, and the smaller be y, then
The difference of their reciprocals is 1/8.
Multiply through the second equation by 8xy
Substitute the first equation into this last equation:
or
But y≠0, since division by zero is not defined.
Therefore y=4 and x=8
Answer:
5 faces
Step-by-step explanation:
<u><em>Faces:</em></u>
=> 1 rectangular face+4 triangular face = 5 faces
