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lukranit [14]
3 years ago
13

two unidentified flying discs are detected by a receiver, the angle of elevation from the receiver to each disc is 38.48 degrees

. The discs are hovering at a direct distance of 826metres and 1.296km from the receiver. Find the difference in height between the two flying discs.

Mathematics
1 answer:
vivado [14]3 years ago
5 0

Answer:

292.45 m

Step-by-step explanation:

Both disk are at an angle of 38.48°

From the image below we calculate as,

For disk B, direct distance is 1.296 km from receiver = 1296 m

Vertical height from ground will be = 1296 x sin38.48 = 806.42 m

For disk A, direct distance is 826 m from receiver

Verival height above ground = 826 x sin38.48 = 513.97 m

Difference in height between disks is 806.42 - 513.97 = 292.45 m

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Natasha_Volkova [10]

For a graph to move up, we must add the value of how much we want to move up outside the function.

So if the original graph f(x) = x^2, thus g(x) = x^2 + 2

Hope that helps!

4 0
3 years ago
Lin is playing hand ball and wants the ball
olga2289 [7]

Lin should aim the ball at 7.8 feet away from point  B

From the question (see attachment), we have the following equivalent ratios:

AB : BE = DC :CE

This is so because triangles ABE and DCE are similar triangles.

Such that:

BE + CE = 20

AB = 16

DC = 16 + 9 = 25

So, we have:

AB : BE = DC :CE

16 : BE = 25: CE

Make CE the subject in BE + CE = 20

CE=20 - BE

Substitute 20 - BE for CE in 16 : BE = 25: CE

16 : BE = 25: 20 - BE

Express as ratio

\frac{16 }{ BE} = \frac{25}{ 20 - BE}

Cross multiply

16(20 - BE) = 25BE

Open bracket

320 - 16BE = 25BE

Collect like terms

25BE + 16BE = 320

41BE = 320

Divide both sides by 41

BE = 7.8

Hence, she should aim at 7.8 feet away from point  B

Read more about similar triangles at:

brainly.com/question/14285697

8 0
3 years ago
1. Refer to the equation 2x - 4y = 12
Masja [62]

The coordinate pair can be obtained from the given equation by

rearranging the equation to make <em>y</em> the subject of the equation

  • The table of values obtained from the given equation is presented as follows;
  • \begin{array}{|c|cr|} \mathbf{x}&&\mathbf{y}\\0&&-3\\1&&-2.5\\2&&-2\\3&&-1.5\\4&&-1\end{array}\right]

  • The graph showing the points in the above table is attached

Reason:

The given equation is presented as follows;

2·x - 4·y = 12

(a) The values are found by making either <em>x</em>, or <em>y</em> the subject of the

formula, and inputting values as follows;

2·x - 4·y = 12

= 4·y

4·y = 2·x - 12

\dfrac{4\cdot y}{4}  = \dfrac{2 \cdot x - 12}{4}

The rearranged equation is therefore

  • y  = \dfrac{x }{2}  - 3

Plugging in values of <em>x</em>, (0, 1, 2, 3) to find the corresponding y-values gives;

x = 0

  • y  = \dfrac{0 }{2}  - 3 = -3

  • x = 1
  • y  = \dfrac{1 }{2}  - 3 = -2 \dfrac{1 }{2}

  • x = 2
  • y  = \dfrac{2 }{2}  - 3 = -2

x = 3

  • y  = \dfrac{3}{2}  - 3 = -\dfrac{3}{2}  = -1.5

x = 4

  • y  = \dfrac{4}{2}  - 3 = -1

<u>The table of values</u> is therefore;

\begin{array}{|c|cr|} \mathbf{x}&&\mathbf{y}\\0&&-3\\1&&-2.5\\2&&-2\\3&&-1.5\\4&&-1\end{array}\right]

The <u>graph of the points</u> can be <u>plotted</u> using MS Excel as presented here

Learn more here:

brainly.com/question/7221077

5 0
3 years ago
Alice drops a rubber ball from a height of 4 feet. The equation t2=4/16 represents the amount of time, in seconds, it takes for
Ahat [919]

Answer:

Letter B

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What equation thirteen less than 4 times a number is twelve
gizmo_the_mogwai [7]
The equation is 4x-13 = 12
3 0
4 years ago
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