Answer:
The length of the diagonal of the TV screen is 51.40.
Step-by-step explanation:
Given:
Aspect ration of Screen = 16:9
Also The Width (w) from exercise 4 is = 25.2
We need to find the length of the diagonal of the TV screen.
Solution first we will find the Length (l) of the TV screen
Now we know that;
![\frac{l}{w} =\frac{16}{9}](https://tex.z-dn.net/?f=%5Cfrac%7Bl%7D%7Bw%7D%20%3D%5Cfrac%7B16%7D%7B9%7D)
Substituting the value of width 'w' we get;
![\frac{l}{25.2} =\frac{16}{9}\\\\l= 25.2 \times \frac{16}{9} = 44.8](https://tex.z-dn.net/?f=%5Cfrac%7Bl%7D%7B25.2%7D%20%3D%5Cfrac%7B16%7D%7B9%7D%5C%5C%5C%5Cl%3D%2025.2%20%5Ctimes%20%5Cfrac%7B16%7D%7B9%7D%20%3D%2044.8)
Hence Length (l) =44.8
Now we know that;
Diagonal of TV screen is equal to Square root of sum of square of Length (l) and width (w).
framing in equation form we get;
Diagonal of TV screen = ![\sqrt{(44.8)^2+(25.2)^2} = 51.40](https://tex.z-dn.net/?f=%5Csqrt%7B%2844.8%29%5E2%2B%2825.2%29%5E2%7D%20%3D%2051.40)
Hence The length of the diagonal of the TV screen is 51.40.
Answer:
d = -1/3, 0
Step-by-step explanation:
Subtract the constant on the left, take the square root, and solve from there.
(6d +1)^2 + 12 = 13 . . . . given
(6d +1)^2 = 1 . . . . . . . . . .subtract 12
6d +1 = ±√1 . . . . . . . . . . take the square root
6d = -1 ±1 . . . . . . . . . . . .subtract 1
d = (-1 ±1)/6 . . . . . . . . . . divide by 6
d = -1/3, 0
_____
Using a graphing calculator, it is often convenient to write the function so the solutions are at x-intercepts. Here, we can do that by subtracting 13 from both sides:
f(x) = (6x+1)^ +12 -13
We want to solve this for f(x)=0. The solutions are -1/3 and 0, as above.
Answer:
b = h cos α.
Step-by-step explanation:
sin β = b / h
b = h sin β.
or cos α = b / h
so b = h cos α.
Answer:
x = -2
x = -10
Step-by-step explanation:
<u>Step 1 :</u><u> Rearrange</u>
x² + 12x + 20 = 0
<u>Step 2:</u><u> Factorise</u>
(x + 2)(x + 10)
<u>Step 3:</u><u> Find the roots / values of x</u>
Make each bracket equal zero.
(x + 2) = x = -2
(x + 10) = x = -10
Hope this helps!
Answer:
48
Step-by-step explanation:
MPQ + QPN = MPN
9x-6 + 5x+7 = 85
Combine like terms
14x+1 = 85
Subtract 1 from each side
14x+1-1 = 85-1
14x = 84
Divide by 14
14x/14 = 84/4
x=6
We want MPQ
MPW = 9x-6 = 9*6 -6 = 54-6 =48