For this case we must find the inverse of the following function:
To do this, we follow the steps below:
We exchange the variables:
We clear the variable "x" (the variable is already cleared):
We change "x" to "y":
We change y for :
ANswer:
How to find the height of an equilateral triangle with side lengths of 20?
1 answer:
To find the height of an equilateral triangle, draw a line from the middle of the base to the vertex (meeting point) at the top of the triangle.
An equilateral triangle is also equiangular - meaning that its angles are all 60°.
By drawing a line down the middle of the triangle (see image), we effectively create a 30-60-90 triangle on both sides - the line splits the 60° angle at the top into 30 and 30, and the height line is perpendicular to the base, making a right angle.
The sides of a 30-60-90 triangle are x, 2x, and x√3, with x being the shortest side and 2x being the hypotenuse.
We already know what 2x is - it's the side length of the triangle, or 20.
If 20 = 2x, then we can easily figure out what the length of the short side, or half the base, is.
That leaves the medium-length side - the height side drawn down the middle of the triangle. Given that 20 = 2x and the last side is x√3, what is the height?
Hope this helps!
-refrac532
An equilateral triangle is also equiangular - meaning that its angles are all 60°.
By drawing a line down the middle of the triangle (see image), we effectively create a 30-60-90 triangle on both sides - the line splits the 60° angle at the top into 30 and 30, and the height line is perpendicular to the base, making a right angle.
The sides of a 30-60-90 triangle are x, 2x, and x√3, with x being the shortest side and 2x being the hypotenuse.
We already know what 2x is - it's the side length of the triangle, or 20.
If 20 = 2x, then we can easily figure out what the length of the short side, or half the base, is.
That leaves the medium-length side - the height side drawn down the middle of the triangle. Given that 20 = 2x and the last side is x√3, what is the height?
Hope this helps!
-refrac532
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- (1) Find the time in Manila when the aeroplane departsfrom Dubai.
- (ii) Find the time duration of the flight.
- (iii) What is the time in Dubai when the aeroplane arrives in Manila?
- (i)17.00
- (ii)3 hours
- (iii) 16.00
∴Hence, at standard it is 13.00-4 =99.00 STD talk
off reached at Manila +8 Zone at 20.00
∴Hence at standard & 2000 -8
reached.⇒ 12.00 STD
- Hence time of flight was = 3 hours.
(i) Time at Manila, whicle Plane de parts
12-3+8 ⇒9+8 → 17.00
(ii) duration = 3 hours.
(iii) in dubai 13.00 + 3 = 16,00
_____________________
Ans
i)17.0.0 (ii) 3 hours (iii) 16.00
________________________
♕ hence we done:) xD