Answer:
900
Step-by-step explanation:
None of the numbers beginning with 8 are palindromic. There aren't very many numbers that are that are also 5 digits long.
The first digit cannot be 0 (otherwise you will wind up with a 4 digit number)
The first digit can be 9 others.
The second digit can be all 10 digits
The third digit can also be all 10 digits.
The first digit and the 5th digit must be the same so the fifth digit does not add anything new or more palindromic numbers.
The 2nd and 4th must also be the same.
So the total number of palindromic numbers that are 5 digits long
9 * 10 * 10 = 900
There really aren't any more.
80908 is one example of a palindromic 5 digit number.
Rate of change is used to mathematically describe the percentage change in value over a defined period of time. (I looked that up)
So the rate of change is the slope and slope is the ratio of change between any 2 points on a line.
Slope measures the steepness of a line.
Slope is the ratio of the vertical change, called the rise, to the horizontal change called the run between any 2 points on the line.
Slope is written as a fraction in simplest form. 5/10=1/2
Variable for slope: M.
Reply for any more questions, also sorry for a slow response. I thought a lot.
Answer:
The measure of the complement =
= 80°
The measure of the supplement=
= 170°
Step-by-step explanation:
Let
90-x equal the degree measure of its complement
180-x equal the degree measure of its supplement.
We are told in the question that: the supplement of a given angle is 10 degrees more than twice its complement.
Hence, the Equation is;
(180 - x) = 10° + 2(90 - x)
180 - x = 10 + 180 - 2x
Collect like terms
-x + 2x = 10 + 180 - 180
x = 10°
Hence,
The measure of the complement =
90 - x
= 90 - 10
= 80°
The measure of the supplement=
180 - x
= 180 - 10
= 170°
Answer:
86.63 ft
Step-by-step explanation:
The tangent relation applies.
Tan = Opposite/Adjacent
tan(77°) = (tree height)/(20 ft)
tree height = (20 ft)·tan(77°) ≈ 86.63 ft
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<em>Additional comment</em>
It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.