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aleksley [76]
3 years ago
6

light travels approximately 300,000,000 metres each second. A light year is the total distance travelled by light in one year. A

ssuming there are 365 days in a year, determine a light year, expressing your answer in standard form and with the correct unit.​
Mathematics
2 answers:
Fiesta28 [93]3 years ago
8 0

Answer: 9.45 x 10^15 m

Step-by-step explanation:

The speed of light = 300,000,000 m/s (3·00 × 10^8m/s).

Length of Earth year = 365 days

= 365 × 24 × 60 × 60 seconds = 3·15 × 10^7seconds

Now speed = distance / time ...

so ... distance = speed × time

So: 1 light year = 3·00 × 10^8 × 3·15 × 10^7

1 light year = 9·45 × 10^15 m

That's nearly 9 1/2 million, million kilometres!

Dmitrij [34]3 years ago
7 0

Answer:

109500000000

Step-by-step explanation:

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In right triangle JFK sin(52)= cos(5x-2). What is the measure of the smallest angle in the triangle?
jeyben [28]

Answer:

48°

Step-by-step explanation:

Given the trigonometry equation

sin(52)= cos(5x-2)...1

According to the quadrant:

Sin(θ) = cos(90-θ)

Sin52 = cos(90-52)

Sin52 = cos48... 2

Substituting 2 into 1:

Cos48 = cos(5x-2)

48 = 5x-2

5x = 48+2

5x = 50

x = 10°

The smallest of the angle will be angle 5x-2 = 5(10)-2

= 50-2

= 48°

7 0
3 years ago
What is the solution of the system defined by y= -x+5 and 5x + 2y = 14?
telo118 [61]
          y = -x + 5
5x + 2y = 14

     5x + 2(-x + 5) = 14
5x + 2(-x) + 2(5) = 14
       5x - 2x + 10 = 14
              3x + 10 = 14
                    - 10  - 10
                      3x = 4
                       3     3
                        x = 1¹/₃
      y = -x + 5
      y = -1¹/₃ + 5
      y = 3²/₃
(x, y) = (-1¹/₂, 3²/₃)
5 0
3 years ago
What is the equation for a slope of -3 and y intercept of 7
Tom [10]

Answer:

Step-by-step explanation:

y=-3+7

5 0
3 years ago
On a coordinate plane, point A is at (3, 3) and point B is at (negative 3, 3). Point B is the image of point A when A is rotated
Vladimir [108]

Answer:

Point B must be at the same distance from the the origin as point A.

Step-by-step explanation:

Coordinates of point A = (3, 3)

When point A is rotated 90° counterclockwise around the origin, coordinates of the new point B will be (-3, 3)

Distance from origin to point A = \sqrt{(3)^{2}+(3)^2}=3\sqrt{2}

Similarly, distance of point B from the origin = \sqrt{(3)^{2}+(3)^2}=3\sqrt{2}

Therefore, distances of both the points from the origin are same.

Point B must be at the same distance from the the origin as point A.

7 0
3 years ago
The sum of the roots of 3x 2 + 11x - 4 = 0 is<br><br> -11/3<br> -4/3<br> 11/3<br> 4/3
givi [52]

Answer:

The correct option is 1.

Step-by-step explanation:

If a quadratic equation is defined as

ax^2+bx+c=0             .... (1)

Then the sum of the roots is -b/a and the product of roots is c/a.

The given equation is

3x^2+11x-4=0          ... (2)

From (1) and (2) we get a=3, b=11 and c=-4.

The sum of roots is

\frac{-b}{a}=-\frac{11}{3}

The sum of roots is -\frac{11}{3}.

Therefore the correct option is 1.

5 0
3 years ago
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