633,708 is the answer I got
In a quadrilateral ABCD, the measure of the length of the quadrilateral CD will be 25.98 cm.
<h3>What is trigonometry?</h3>
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The length of AD will be
tan θ = AB/AD
AD = 12/ tan 35
AD = 17.14 cm
Then the value of the BD will be given by the Pythagoras.
BD² = AB² + AD²
BD² = 12² + 17.14²
BD² = 144 + 239.78
BD² = 437.78
BD = 20.92 cm
Then operate the sine rule in triangle BCD, we have
![\dfrac{BD}{\sin C} = \dfrac{CD }{\sin B}\\\\\\\dfrac{20.92}{\sin 52} = \dfrac{CD }{\sin 102}\\\\\\CD = \dfrac{20.92 \times \sin 102}{\sin 52}](https://tex.z-dn.net/?f=%5Cdfrac%7BBD%7D%7B%5Csin%20C%7D%20%3D%20%5Cdfrac%7BCD%20%7D%7B%5Csin%20B%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B20.92%7D%7B%5Csin%2052%7D%20%3D%20%5Cdfrac%7BCD%20%7D%7B%5Csin%20102%7D%5C%5C%5C%5C%5C%5CCD%20%3D%20%5Cdfrac%7B20.92%20%5Ctimes%20%5Csin%20102%7D%7B%5Csin%2052%7D)
On further solving, the value of CD will be
CD = 25.98
More about the trigonometry link is given below.
brainly.com/question/22698523
#SPJ1
sorry for the line not be straight
You can write both numbers as fractions:
![6.3=\dfrac{63}{10},\quad 0.9=\dfrac{9}{10}](https://tex.z-dn.net/?f=6.3%3D%5Cdfrac%7B63%7D%7B10%7D%2C%5Cquad%200.9%3D%5Cdfrac%7B9%7D%7B10%7D)
Dividing by a fraction is the same as multiplying by its inverse, so we have
![\dfrac{63}{10}\div \dfrac{9}{10}=\dfrac{63}{10}\cdot\dfrac{10}{9}](https://tex.z-dn.net/?f=%5Cdfrac%7B63%7D%7B10%7D%5Cdiv%20%5Cdfrac%7B9%7D%7B10%7D%3D%5Cdfrac%7B63%7D%7B10%7D%5Ccdot%5Cdfrac%7B10%7D%7B9%7D)
We can cross-simplify the 10's and we have
![\dfrac{63}{10}\cdot\dfrac{10}{9}=\dfrac{63}{9}=7](https://tex.z-dn.net/?f=%5Cdfrac%7B63%7D%7B10%7D%5Ccdot%5Cdfrac%7B10%7D%7B9%7D%3D%5Cdfrac%7B63%7D%7B9%7D%3D7)