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anyanavicka [17]
2 years ago
8

See question in image and show workings​Note : 1 nautical mile = 1.86km

Mathematics
1 answer:
ycow [4]2 years ago
3 0

Answer:

a)

AB is on the latitude 30°N.

<u>Find AB:</u>

  • AB = 2*3.142*6400*cos 30°*(32+35)/360 = 6482.15 km

BC is along longitude 35°W

<u>Find BC:</u>

  • BC = 2*3.142*6400*(30 + 20)/360 = 5585.77 km

<u>Total distance traveled:</u>

  • 6482.15 + 5585.77 = 12067.92 km

<u>Convert the distance to nautical miles:</u>

12067.92/1.86 = 6488.13 nautical miles

b)

<u>Find the average speed:</u>

  • 6488.13/22 = 294.92 nautical miles / hour

<u>Note</u>. <em>This is unrealistically high speed for a ship, this must be a plane or the time given wrong.</em>

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A regular decagon has 10 sides. How many reflectional symmetries does a regular decagon have?
lina2011 [118]

The rule for regular polygons are very easy. The number of reflectional symmetries is same as the number of sides. Regular polygons have all sides the same length and all angles same. Reflection symmetry means that you can fold the shape along that line and it will match up.

For this question, we want the number of reflectional symmetries of a regular decagon. Decagon is a 10 sided figure. Hence, the number of reflectional symmetries is 10.

There are 5 symmetry lines from one vertex to opposite vertex and 5 more symmetry lines form midpoint of one side to midpoint of opposite side.

ANSWER: 10

7 0
3 years ago
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Two consecutive positive numberside are such that the sum of their squares is 113. Find the two numbers
PolarNik [594]

the two consecutive numbers are 56 and 57

x+x+1=113

2x+1=113

2x=113-1

2x=112

x=112/2

x=56

therefore, x=56

x+1= 56+1= 57


3 0
3 years ago
The graph models the daily high temperature, H(t), in Santiago, Chile, t days after the hottest day of the year. What does the p
alekssr [168]
For this case we have a function of the form:
 H (t)
 Where,
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 H: the daily high temperature
 We have the point (0.29).
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 Answer:
 
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5 0
3 years ago
In order to have 290,000 in 10 yrs you should deposit how much each month​
never [62]

Answer:2416{APPROX}

Step-by-step explanation:

AMOUNT=290000

NO OF YEARS=10

NO OF MONTHS IN 10 YEARS=120 MONTHS.

SO AMOUNT TO DEPOSIT PER MONTH=290000/120=2416(APPROX)

7 0
3 years ago
Solve 8x+2y=13 and 4x+y=11 using substitution
Aleonysh [2.5K]

Answer:

No Solution

Step-by-step explanation:

8x+2y=13                         4x+y=11               Subtract 4x on both sides to isolate y

                                        y=-4x+11       <---- Substitute this equation into the                                            

                                                                     equation 8x+2y=13

8x+2(-4x+11)=13

8x-8x+22=13

22=13 (not true)

No Solution          

                     

4 0
3 years ago
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