Given:
The graph of a line which represents position (m) at time (s).
To find:
The slope of the line.
Solution:
Formula for slope:
From the given graph it is clear that the line passes through two points (0,0) and (1,4).
Using the above formula, we get
Therefore, the slope of the line is 4 m/s.
Explanation:
According to the given data, we can draw a figure (Please refer the attachment below)
Building's height = 30 meter
Angle of elevation from a spot to the top of the building = 55 degrees
Angle of elevation from the spot to the top of the building = 50 degrees
To find the height of the hill, we need to use the formula,
then,
.... (1)
Similarly,
.... (2)
(1) = (2) becomes
[tex]\Rightarrow [tex] 1.428h = (30 + h)1.192
1.428h = 35.76 + 1.192h
1.428h - 1.192h = 35.76
0.236h = 35.76
h = 151.52 meter
Therefore, the hill highs 151.52 meter.
Answer: An integer added to an integer is an integer, this statement is always true. A polynomial subtracted from a polynomial is a polynomial, this statement is always true. A polynomial divided by a polynomial is a polynomial, this statement is sometimes true. A polynomial multiplied by a polynomial is a polynomial, this statement is always true.
Explanation:
1)
The closure property of integer states that the addition, subtraction and multiplication is integers is always an integer.
If , then a+b\in Z.
Therefore, an integer added to an integer is an integer, this statement is always true.
2)
A polynomial is in the form of,
Where are constant coefficient.
When we subtract the two polynomial then the resultant is also a polynomial form.
Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.
3)
If a polynomial divided by a polynomial then it may or may not be a polynomial.
If the degree of numerator polynomial is higher than the degree of denominator polynomial then it may be a polynomial.
For example:
Then , which a polynomial.
If the degree of numerator polynomial is less than the degree of denominator polynomial then it is a rational function.
For example:
Then , which a not a polynomial.
Therefore, a polynomial divided by a polynomial is a polynomial, this statement is sometimes true.
4)
As we know a polynomial is in the form of,
Where are constant coefficient.
When we multiply the two polynomial, the degree of the resultand function is addition of degree of both polyminals and the resultant is also a polynomial form.
Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.