Answer:
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Given:
Let
A(x₁ , y₁) = (1 , 4) and
B( x₂ , y₂ ) = (-1 , 2)
To Find:
θ = ?
Solution:
Slope of a line when two points are given is given bt
Substituting the values we get
Also Slope of line when angle ' θ ' is given as
Substituting Slope = 1 we get
We Know That for angle 45°,
tan 45 = 1
Therefore
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Answer:
- tn = 2097152 pennies
- tn = 20971.52 dollars.
Step-by-step explanation:
A surprisingly large amount of money.
The question is "Does the amount of money just double or do the previous amounts add to the present amount?"
I think it just doubles. Not only that, but she can't spend any of it until night 22 is reached.
- tn = a*2^(n - 1)
- a = 1 She starts with 1 penny.
- n = 22
- tn = 1*2^(22 - 1)
- tn = 1*2^21
- tn = 2097152 pennies
- tn = 20971.52 dollars.
definition is valid since center is exactly 1radius away from any point on the outersurface.
other figures do not fit this defn
Ratio and Proportions
61:70=ratio of statue
?:22=61:70
?/22=61/70
Move 22 over the equal sign
?=61*22/70
?=1342/70
?=19.1714286
The tree is 19.1714286m tall
Hope this helps!
