Answer:
Width=7
Length=21
Step-by-step explanation:
Width=x
length=3x
x+x+3x+3x=56
8x=56
x=7
width = x = 7
length = 3x = 21
(7x + 2 + 8x^4) – (2x – 5 – 8x^4) + (3x + 5x^4)
= 7x + 2 + 8x^4 – 2x + 5 + 8x^4 + 3x + 5x^4
= 8x + 7 + 21x^4
= 21x^4 + 8x + 7
Answer:
Step-by-step explanation:
a=42,b=58,A=36°
![\frac{sin B}{b} =\frac{sin~ A}{a} \\sin~B=\frac{b \times ~sin~ A}{a} \\\\sin~B=\frac{58 \times sin~36}{42} \\B=sin ^{-1}( \frac{58 \times sin~36}{42} ) \approx 54^\circ](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%20B%7D%7Bb%7D%20%3D%5Cfrac%7Bsin~%20A%7D%7Ba%7D%20%5C%5Csin~B%3D%5Cfrac%7Bb%20%5Ctimes%20~sin~%20A%7D%7Ba%7D%20%5C%5C%5C%5Csin~B%3D%5Cfrac%7B58%20%5Ctimes%20sin~36%7D%7B42%7D%20%5C%5CB%3Dsin%20%5E%7B-1%7D%28%20%5Cfrac%7B58%20%5Ctimes%20sin~36%7D%7B42%7D%20%29%20%5Capprox%2054%5E%5Ccirc)
There number rounds to 3000 so divide that by 11 and round up your answer
have a good day!!
Answer:
TV is 16 inches tall.
Step-by-step explanation:
Given Data:
Width of TV = w = 30 inches
Diagonal length of TV = d = 34 inches
To Find out:
height of TV = h = ?
Formula:
According to Pythagoras's theorem.
![d^{2} = h^{2} + w^{2}](https://tex.z-dn.net/?f=d%5E%7B2%7D%20%3D%20h%5E%7B2%7D%20%2B%20w%5E%7B2%7D)
![h^{2} = d^{2} - w^{2}](https://tex.z-dn.net/?f=h%5E%7B2%7D%20%3D%20d%5E%7B2%7D%20-%20w%5E%7B2%7D)
Solution:
![h^{2} = d^{2} - w^{2}](https://tex.z-dn.net/?f=h%5E%7B2%7D%20%3D%20d%5E%7B2%7D%20-%20w%5E%7B2%7D)
![h^{2} = 34^{2} -30 ^{2}](https://tex.z-dn.net/?f=h%5E%7B2%7D%20%3D%2034%5E%7B2%7D%20-30%20%5E%7B2%7D)
![h^{2} = 1156 -900](https://tex.z-dn.net/?f=h%5E%7B2%7D%20%3D%201156%20-900)
![h^{2} = 256](https://tex.z-dn.net/?f=h%5E%7B2%7D%20%3D%20256)
![h = \sqrt{256}](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%7B256%7D)
h = 16 inches
Hence TV is 16 inches tall.