Answer:
24/49
Step-by-step explanation:
Answer:

Step-by-step explanation:
To find:
The value of
= ?
Solution:
Kindly consider the equilateral
as attached in the answer area.
Let the side of triangle =
units
Let us draw the perpendicular from vertex A to side BC.
It will divide the side BC in two equal parts.
i.e. BD = DC = 
Using Pythagorean Theorem in
:

Side AD = 
Using Trigonometric ratio:


Putting the values of AD and BD:

Answer:
x = -1 and x = 4
Step-by-step explanation:
Step 1: Get everything to one side of the equation so it's set equal to zero..
-x² + 4x = x - 4 becomes...
-x² + 3x + 4 = 0 (subtract x and add 4 to both sides)
x² - 3x - 4 = 0 (divide both sides by -1, we want the x² term to be positive)
(x - 4)(x + 1) = 0 (factor)
so
x - 4 = 0, then x = 4
and
x + 1 = 0, then x = -1
2 1/24
Rewriting our equation with parts separated
2/3+1+3/8
Solving the fraction parts
2/3+3/8=?
Find the LCD of 2/3 and 3/8 and rewrite to solve with the equivalent fractions.
LCD = 24
16/24+9/24=25/24
Simplifying the fraction part, 25/24,
25/24=1 1/24
Combining the whole and fraction parts
1+1+1/24=2 1/24