Answer:
FG = 18
Step-by-step explanation:
FD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
=
( cross- multiply )
54x = 24(x + 10)
54x = 24x + 240 ( subtract 24x from both sides )
30x = 240 ( divide both sides by 30 )
x = 8
Then
FG = x + 10 = 8 + 10 = 18
Answer:
To work out the percentage, all you have to do is divide the first subject by the second and multiply that by 100%.
In other words, 
= 
=
.
Step-by-step explanation:
Hope this helped!
A=pir^2
a=pi13^2
a=169pi
a=530.66 square cm
Given:
The equation of a line is:

The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:

For
,




For
,




Divide both sides by 2.


The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then

Using this rule, we get


Similarly,


The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:




Multiply both sides by 2.



Therefore, the equation of the line after the dilation is
.
Answer:a. [tex] $f\propto L$ [\tex]
b. [tex] f \propto \sqrt{T} [\tex]
c. [tex] f \propto \frac{1}{\sqrt{P}} [\tex]
I. Decrease in length increases leads to increase in pitch.
II. Increase in tension leads to increase in pitch.
III. Increase in linear density reduces the pitch
Step-by-step explanation: I. Since the frequency is inversely proportional to the length increase in length leads to decrease in frequency likewise decrease in length leads to increase in frequency.
II. Since the frequency is directly proportional to the square root of the tension increase in tension leads to increase in frequency likewise decrease in tension leads to decrease in frequency.
III.since the frequency is inversely proportional to the square root of the linear density so increase in linear density leads to decrease in frequency and likewise decrease in linear density leads to increase in frequency.