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Gemiola [76]
3 years ago
13

An observer on the ground is x meters from the base of the launch pad of a rocket, which is at the same level as the observer. A

few seconds after the rocket takes off vertically, the observer sees its tip at an angle of q° from the horizontal. How far above the ground is the tip of the rocket at that instant? Assume that the ground is level.
x tan q
x sin q
x cos q

Mathematics
2 answers:
kondaur [170]3 years ago
7 0
Hello;

Answer A

h/x= tan q=>h=tan q* x

weeeeeb [17]3 years ago
7 0

Answer:

Tip of the rocket is x tan q meters above the ground.

Step-by-step explanation:

From the figure attached, at any moment after the launch of the rocket, tip of the rocket is at A.

AB is the height of the rocket tip from the ground and observer is x meters away from the launch pad.

Then tan q = \frac{AB}{BC}

         tan q = \frac{AB}{x}

AB = x tan q meters.

Tip of the rocket is x tan q meters above the ground.

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An artist is using tiles and boards for a project. A tile has length 1/3 ft and width 1/3 ft. A board has length 1/2 yd and widt
ahrayia [7]

Step-by-step explanation:

Length of title to board = (1/3) : (1/2) = 2 : 3.

Area of tile to board = (1/3)² : (1:2)² = 4 : 9.

7 0
2 years ago
A city planner designs a park that is a quadrilateral with vertices at J(-3,1), K(1,3), L(5,-1), and M(-1,-3). There is an entra
Ksivusya [100]
The Quadrilateral is JKLM, 

let M_{JK}, M_{KL}, M_{LM}, M_{JM}, be the midpoints of JK, KL, LM and JM respectively.

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Given any 2 point P(m,n) and Q(k,l),<span>

the coordinates of the midpoint of the line segment PQ are given by the formula:

M_{PQ}=( \frac{m+k}{2} ,&#10;\frac{n+l}{2}), </span>

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thus the coordinates of points M_{JK}, M_{KL}, M_{LM}, M_{JM},

are as follows:

M_{JK}= (\frac{-3+1}{2}, \frac{1+3}{2})=(-1,2), \\\\M_{KL}= (\frac{1+5}{2}, \frac{3-1}{2}=(3,1), \\\\M_{LM}= (\frac{5-1}{2}, \frac{-1-3}{2})=(2, -2),\\\\ M_{JM}= (\frac{-3-1}{2}, \frac{1-3}{2})=(-2,-1)


------------------------------------------------------------------------------------------------

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:<span>

 |PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}&#10;}</span>

------------------------------------------------------------------------------------------------

thus the distances connecting the opposite entrances can be calculated as follows:


|M_{JK},M_{LM}|= \sqrt{ (-1-2)^{2} + (2-(-2))^{2} }= \sqrt{9+16}=5

|M_{KL}M_{JM}|= \sqrt{ (3-(-2))^{2} + (1-(-1))^{2}}= \sqrt{25+4}= \sqrt{29}=5.39


Thus the total distance of the paths joining the opposite entrances is 

5+5.39 units = 50 m + 53.9 m = 104 m (rounded to the nearest meter)


Answer: 104 m



8 0
3 years ago
The following data represent the pulse rates? (beats per? minute) of nine students enrolled in a statistics course. Treat the ni
charle [14.2K]

Answer:

(a)77.4bpm

(b)Mean of Sample 1 = 70.3 beats per minute.  

Mean pulse of sample 2 = 70 beats per minute.

(c)

  • The mean pulse rate of sample 1 underestimates the population mean.
  • The mean pulse rate of sample 2 underestimates the population mean.

Step-by-step explanation:

(a)Population mean pulse.

The pulse of the nine students which represent the population are:

  • Perpectual Bempah      64
  • Megan Brooks               77
  • Jeff Honeycutt               89
  • Clarice Jefferson           69
  • Crystal Kurtenbach       89
  • Janette Lantka              65
  • Kevin McCarthy             88
  • Tammy Ohm                  69
  • Kathy Wojdya                 87

\text{Population Mean} =\dfrac{64+77+89+69+89+65+88+69+87}{9} \\=\dfrac{697}{9} \\\\=77.44

The population mean pulse is approximately 77.4 beats per minute.

(b)Sample 1: {Janette,Clarice,Megan}

  • Janette: 65bpm
  • Clarice: 69bpm
  • Megan: 77bpm

Mean of Sample 1

\text{Sample 1 Mean} =\dfrac{65+69+77}{3} \\=\dfrac{211}{3} \\\\=70.3

Sample 2: {Janette,Clarice,Megan}

  • Perpetual: 64bpm
  • Clarice: 69bpm
  • Megan: 77bpm

Mean of Sample 2

\text{Sample 2 Mean} =\dfrac{64+69+77}{3} \\=\dfrac{210}{3} \\\\=70

The mean pulse of sample 1 is approximately 70.3 beats per minute.  

The mean pulse of sample 2 is approximately 70 beats per minute.

(c)

  • The mean pulse rate of sample 1 underestimates the population mean.
  • The mean pulse rate of sample 2 underestimates the population mean.
7 0
3 years ago
It takes 10 hours to type 4 reports how many hours does it take to type 15 reports
yaroslaw [1]

Answer:37.5 hrs

Step-by-step explanation:

15/4 = 3.75

3.75*10=37.5

6 0
2 years ago
Read 2 more answers
2. Which statement is false about the relationship of the sides in the triangle shown in the picture below?
MaRussiya [10]

Based on the triangle inequality theorem, the that is false about the relationship of the side of the triangle given is: D. x = 7.

<h3>What is the Triangle Inequality Theorem?</h3>

The triangle inequality theorem holds that the length of any side of a triangle is less than the sum of the length of the sides of the other two sides.

Applying the triangle inequality theorem, it means the following should be true for any value of x given:

x + 2 + x + 3 > 3x - 2

2x + 5 > 3x - 2

Plug in x = 3 to find out:

2(3) + 5 > 3(3) - 2

11 > 4 (True)

Plug in x = 1 to find out:

2(1) + 5 > 3(1) - 2

8 > 2 (True)

Plug in x = 7 to find out:

2(7) + 5 > 3(7) - 2

19 > 19 (FALSE)

Therefore, the false statement is: D. x = 7.

Learn more about the triangle inequality theorem on:

brainly.com/question/309896

#SPJ1

5 0
2 years ago
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