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Nataly [62]
3 years ago
7

light travels 3000000 scs if earth is 150 million km away from sun how many minutes it will take the light to come from sun to e

arth
Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
5 0
  • Speed of light=3×10^8m/s=3×10^5km/s
  • Distance=150million km=150×10^6km

Now

\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}

\\ \rm\longmapsto Time=\dfrac{Distance}{Speed}

\\ \rm\longmapsto Time=\dfrac{150\times 10^6}{3\times 10^5}

\\ \rm\longmapsto Time=50\times 10^1

\\ \rm\longmapsto Time=500s

\\ \rm\longmapsto Time=8.33min

  • Can be written as 8min 20s.
Airida [17]3 years ago
4 0

Answer:

speed \: of \: light  = 3 \times 10 {}^{8} m \: per \: second. \\ distance = 150million \: km \\  = 150 \times 10 {}^{6} km. \\  \\ now \\ speed =  \frac{distance}{time}  \\  \frac{150 \times 10 {}^{6} }{3 \times 10 {}^{5} }  \\ 50 \times 10 {}^{1}  \\ 500sec \\ 8.33min. \\ it \: can \: be \: written \: as \\ 8min \: 20sec.

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Type the correct answer in each box. Use numerals instead of words.
lubasha [3.4K]

Answer:

System A has 4 real solutions.

System B has 0 real solutions.

System C has 2 real solutions

Step-by-step explanation:

System A:

x^2 + y^2 = 17   eq(1)

y = -1/2x            eq(2)

Putting value of y in eq(1)

x^2 +(-1/2x)^2 = 17

x^2 + 1/4x^2 = 17

5x^2/4 -17 =0

Using quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a = 5/4, b =0 and c = -17

x=\frac{-(0)\pm\sqrt{(0)^2-4(5/4)(-17)}}{2(5/4)}\\x=\frac{0\pm\sqrt{85}}{5/2}\\x=\frac{\pm\sqrt{85}}{5/2}\\x=\frac{\pm2\sqrt{85}}{5}

Finding value of y:

y = -1/2x

y=-1/2(\frac{\pm2\sqrt{85}}{5})

y=\frac{\pm\sqrt{85}}{5}

System A has 4 real solutions.

System B

y = x^2 -7x + 10    eq(1)

y = -6x + 5            eq(2)

Putting value of y of eq(2) in eq(1)

-6x + 5 = x^2 -7x + 10

=> x^2 -7x +6x +10 -5 = 0

x^2 -x +5 = 0

Using quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a= 1, b =-1 and c =5

x=\frac{-(-1)\pm\sqrt{(-1)^2-4(1)(5)}}{2(1)}\\x=\frac{1\pm\sqrt{1-20}}{2}\\x=\frac{1\pm\sqrt{-19}}{2}\\x=\frac{1\pm\sqrt{19}i}{2}

Finding value of y:

y = -6x + 5

y = -6(\frac{1\pm\sqrt{19}i}{2})+5

Since terms containing i are complex numbers, so System B has no real solutions.

System B has 0 real solutions.

System C

y = -2x^2 + 9    eq(1)

8x - y = -17        eq(2)

Putting value of y in eq(2)

8x - (-2x^2+9) = -17

8x +2x^2-9 +17 = 0

2x^2 + 8x + 8 = 0

2x^2 +4x + 4x + 8 = 0

2x (x+2) +4 (x+2) = 0

(x+2)(2x+4) =0

x+2 = 0 and 2x + 4 =0

x = -2 and 2x = -4

x =-2 and x = -2

So, x = -2

Now, finding value of y:

8x - y = -17    

8(-2) - y = -17    

-16 -y = -17

-y = -17 + 16

-y = -1

y = 1

So, x= -2 and y = 1

System C has 2 real solutions

4 0
4 years ago
Read 2 more answers
Help me please............
kaheart [24]
Well, if he shoots 15 shots in 5 minutes then that means he shoots 3 per minute.

3 x 12 = 36

In 12 minutes, he will have shot 36 shots.
6 0
3 years ago
Read 2 more answers
Basit played and online Pin Ball game the first time we got our score of 25000 point then he is called 125000 point and third ti
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Answer:

Average score per game = 60,000 per game

Step-by-step explanation:

Given:

Points scored in first game = 25,000

Points scored in second game = 125,000

Points scored in third game = 30,000

Find:

Average score per game

Computation:

Average = Sum of observation / Number of observation

So,

Sum of all game = 25,000 + 125,000 + 30,000

Sum of all game = 180,000

Number of games = 3

Average score per game = 180,000 / 3

Average score per game = 60,000 per game

8 0
3 years ago
A class must have fewer than 18 students due to the number of desks that can be placed in the classroom. Write an inequality tha
forsale [732]

Answer:

  • n < 18
  • n ≥ 15

Step-by-step explanation:

The wording "fewer than" is translated to the math symbol "less than". The variable n represents the number of students.

  <em>the number of students</em> is fewer than 18

translates to ...

  n < 18

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The wording "at least" translates to the math symbol "greater than or equal to."

  <em>the number of students</em> is at least 15

translates to ...

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3 years ago
What is the successor of -19
german

Answer:

-18

Step-by-step explanation:

Successor of -19 = - 19 + 1 = - 18

8 0
3 years ago
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