Answer:
The Width = 65.44 inches
The Height = 36.81 inches
Step-by-step explanation:
We are told in the question that:
The width and height of an newer 75-inch television whose screen has an aspect ratio of 16:9
Using Pythagoras Theorem we known that:
Width² + Height² = Diagonal²
Since we known that the size of a television is the length of the diagonal of its screen in inches.
Hence, for this new TV
Width² + Height² = 75²
We are given ratio: 16:9 as aspect ratio
Width = 16x
Height = 9x
(16x)² +(9x)² = 75²
= 256x² + 81x² = 75²
337x² = 5625
x² = 5625/337
x² = 16.691394659
x = √16.691394659
x = 4.0855103303
Approximately x = 4.09
For the newer 75 inch tv set
The Height = 9x
= 9 × 4.09
= 36.81 inches
The Width = 16x
= 16 × 4.09
= 65.44 inches.
For sake of convenience, mark one column in increasing order,then mark both the values on their corresponding axes (as shown in the pic.)
After examining the Scatter Plot, we can say that there is a correlation between two variables like, they are proportional to each other and shows linear function.
First, we are going to find the conjugate of our complex number. Remember that to find the conjugate of a complex number we just need to keep the real part and change the sing of the imaginary part.
We can infer from our problem that the real part of our complex number is 3 and its imaginary part is
. We are going to keep the real part 3 and change the imaginary part from positive to negative, so our conjugate is
.
Next, we are gong to multiply both the complex number and its conjugate using the distributive property:

Remember that
, so:

We can conclude that the product of the multiplication of the complex number 3+3i and its conjugate, 3-3i, is 18.
Answer:
17 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (1, 9) and (x₂, y₂ ) = (9, - 6)
d = 
= 
= 
= 
= 17
I believe the answer is create a beautiful resting place for the dead