Answer:
The required answer is
Therefore the number in green box should be 7.
Step-by-step explanation:
Given:
AB = 7√2
AD = a , BD = b , DC = c , AC = d
∠B = 45°, ∠C = 30°
To Find:
c = ?
Solution:
In Right Angle Triangle ABD Sine identity we have
Substituting the values we get
Now in Triangle ADC Tangent identity we have
Substituting the values we get
The required answer is
Answer:
and
Step-by-step explanation:
We require 2 equations with the repeating numbers placed after the decimal point.
let x = 0.1212...... (1) ← multiply both sides by 10
100x = 12.1212.... (2)
subtract (1) from (2) thus eliminating the repeating numbers
99x = 12 ( divide both sides by 99 )
x = =
← in simplest form
-------------------------------------------------------
let x = 0.037037....... (1) ← multiply both sides by 1000
1000x = 37.037037..... (2)
subtract (1) from (2) to eliminate the repeating numbers
999x = 37 ( divide both sides by 999 )
x = =
← in simplest form
