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inn [45]
2 years ago
13

Example 5

Mathematics
1 answer:
Svetllana [295]2 years ago
3 0

Answer:

1/2*6(12+x)=12*x

1/2*(72+6)=12x

36+3x=12x

36=9x

4=x

Step-by-step explanation:

Check that x=4

1/2*6(4+12)=12*4

1/2*(24+72)=48

1/2(96)=48

48=48

So x=4 is the correct answer

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The size of a television is the length of the diagonal of its screen in inches. The aspect ratio of the screens of older televis
katrin [286]

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.

4 0
2 years ago
The following table contains data collected on the math averages of seniors in high school and their math averages as freshman i
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For sake of convenience, mark one column in increasing order,then mark both the values on their corresponding axes (as shown in the pic.)

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8 0
3 years ago
Find the product of the complex number and its conjugate. 3 + 3i
irina1246 [14]

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 3i. We are going to keep the real part 3 and change the imaginary part from positive to negative, so our conjugate is 3-3i.

Next, we are gong to multiply both the complex number and its conjugate using the distributive property:

(3+3i)(3-3i)=(3*3)-(3*3i)+(3*3i)-(3i*3i)=9-9i+9i-9i^2=9-9i^2

Remember that i^2=\sqrt{-1}^{2} =-1, so:

9-9i^2=9-9(-1)=9+9=18

We can conclude that the product of the multiplication of the complex number 3+3i and its conjugate, 3-3i, is 18.

6 0
3 years ago
Read 2 more answers
What is the distance between points (1, 9) and (9, -6
Nookie1986 [14]

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 = \sqrt{(9-1)^2+(-6-9)^2}

   = \sqrt{8^2+(-15)^2}

   = \sqrt{64+225}

    = \sqrt{289}

    = 17

5 0
3 years ago
Hey i need some help with this question but i dont like the history people section. i trust math more.
Rama09 [41]
I believe the answer is create a beautiful resting place for the dead
4 0
3 years ago
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