Answer:
69.20in
Step-by-step explanation:
Given data
diagonal of the TV d= 55in
Widht of the TV w= 42 in
Hight h= ???
Applying the Pythagoras theorem
d^2= w^2+ h^2
substitute
55^2= 42^2+ h^2
3025= 1764+ h^2
3025+1764= h^2
4789= h^2
h=√4789
h= 69.20
Hence the Heigth is 69.20in
Answer:
x=34
Step-by-step explanation:
6 - ( x-7) ^ 1/3 = 3
Subtract 6 from each side
6-6 - ( x-7) ^ 1/3 = 3-6
- ( x-7) ^ 1/3 = -3
Divide each side by a negative
( x-7) ^ 1/3 = 3
Cube each side
( x-7) ^ 1/3 ^3 = (3)^3
x-7 = 27
Add 7 to each side
x-7+7 = 27+7
x = 34
Check
6 - ( 34-7) ^ 1/3 = 3
6 - (27^1/3 = 3
6 -3 =3
3=3
Good solution
<h2><u>Given</u> :</h2>
The given equations are :
![\longrightarrow15b + 10g = 8640 \: \: \: \: \: - (1)](https://tex.z-dn.net/?f=%5Clongrightarrow15b%20%2B%2010g%20%3D%208640%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%20-%20%281%29)
![\longrightarrow b + g = 708 \: \: \: \: \: \: - (2)](https://tex.z-dn.net/?f=%5Clongrightarrow%20b%20%2B%20g%20%3D%20708%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20-%20%282%29)
Let's solve for g in equation (2) :
![\longrightarrow b + g = 708](https://tex.z-dn.net/?f=%5Clongrightarrow%20b%20%2B%20g%20%3D%20708)
![\longrightarrow g = 708 - b \: \: \: \: \: - (3)](https://tex.z-dn.net/?f=%5Clongrightarrow%20g%20%3D%20708%20-%20b%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20-%20%283%29)
now, let's plug value of g from equation (3) into equation (1) :
![\longrightarrow15b + 10g = 8640](https://tex.z-dn.net/?f=%5Clongrightarrow15b%20%2B%2010g%20%3D%208640)
![\longrightarrow15b + 10(708 - b) = 8640](https://tex.z-dn.net/?f=%5Clongrightarrow15b%20%2B%2010%28708%20-%20b%29%20%3D%208640)
![\longrightarrow15b - 10b + 7080 = 8640](https://tex.z-dn.net/?f=%5Clongrightarrow15b%20-%2010b%20%2B%207080%20%3D%208640)
![\longrightarrow5b = 1560](https://tex.z-dn.net/?f=%5Clongrightarrow5b%20%3D%201560)
![\longrightarrow b = 312](https://tex.z-dn.net/?f=%5Clongrightarrow%20b%20%3D%20312)
plugging value of b in equation (3) :
![\longrightarrow g = 708 - b](https://tex.z-dn.net/?f=%5Clongrightarrow%20g%20%3D%20708%20-%20b)
![\longrightarrow g = 708 - 312](https://tex.z-dn.net/?f=%5Clongrightarrow%20g%20%3D%20708%20-%20312)
![\longrightarrow g =39 6](https://tex.z-dn.net/?f=%5Clongrightarrow%20g%20%3D39%206)
since " g " represents ground seats, number of ground seats :
=》396
And " b " represents balcony seat, therefore it is equal to :
=》312
![\mathrm{ ☠ \: TeeNForeveR \:☠ }](https://tex.z-dn.net/?f=%5Cmathrm%7B%20%E2%98%A0%20%5C%3A%20TeeNForeveR%20%5C%3A%E2%98%A0%20%7D)
3/5 is 60% 3/15 is 20% divide 60% by 20% and you have a 3 hope this helps
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