Answer:
46.1 in
Step-by-step explanation:
Given data
Width= 30in
Height= 35in
To find the diagonal, we have to use the Pythagoras theorem
z^2= x^2+y^2
z^2= 30^2+ 35^2
z^2= 900+1225
z^2= 2125
z= √2125
z= 46.09
Hence the diagonal of the TV is 46.1 in
The length of side x in simplest radical form with a rational denominator is 8√3
<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>
The given parameters are:
Triangle type = Equilateral triangle
Height (h) = 12
Missing side length = x
The missing side length, x is calculated using the following sine ratio
sin(60) = Height/Missing side length
This gives
sin(60) = 12/x
Make x the subject of the formula
So, we have
x = 12/sin(60)
Evaluate the quotient
So, we have
x = 12/(√3/2)
This gives
x = 24/√3
Rationalize
x = 24/√3 * √3/√3
Evaluate
x = 8√3
Hence, the length of side x in simplest radical form with a rational denominator is 8√3
Read more about triangles at
brainly.com/question/2437195
#SPJ1
Answer:
−21
Step-by-step explanation:
=12s5t−6t4−6s−21