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Oduvanchick [21]
2 years ago
7

The speed of light is 3 × 108 meters per second. It take 1.82 × 102 seconds for light to reach Mars. What is the distance, in me

ters, between the sun and Mars? A 4.82 x 1016 B 4.82 x 1010 C 5.46 x 1016 D 5.46 x 1010
Mathematics
1 answer:
Snowcat [4.5K]2 years ago
4 0

Answer:

D 5.46 x 10^10

Step-by-step explanation:

Recall that  speed is the rate of change of distance with time and may be expressed mathematically as

speed = Distance/time

Distance = speed * time

Hence given that the speed of light

= 3 × 10^8 meters per second

Time taken for light to travel between the given distance

= 1.82 × 10^2 seconds

substituting the given values

Distance = 3 × 10^8 * 1.82 × 10^2

= 5.46 * 10^(8+2)

= 5.46 * 10^10 meters

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Secant jkl and jmn are drawn to circle o from an external point ,j. if jk=8,lk=4 and jm=6 what is the length of jn answer
Archy [21]
See the picture attached to better understand the problem

we know that
If two secant segments are drawn to a <span>circle </span><span>from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.
</span>so
jl*jk=jn*jm------> jn=jl*jk/jm

we have
<span>jk=8,lk=4 and jm=6
</span>jl=8+4----> 12

jn=jl*jk/jm-----> jn=12*8/6----> jn=16

the answer is
jn=16

6 0
3 years ago
Can you explain it and help me out please​
Artyom0805 [142]

Answer:

b=19

Step-by-step explanation:

2x(3x+5)+3(3x+5)= (3x+5)(2x+3)= 6x²+ 9x+10x+15=6x²+19x +15

6x² + 19x +15 = ax²+bx+c

a=6, b=19, c=15

5 0
3 years ago
Given P(A)=0.78P(A)=0.78, P(B)=0.65P(B)=0.65 and P(A\cup B)=0.873P(A∪B)=0.873, find the value of P(A\cap B)P(A∩B), rounding to t
Sever21 [200]

Answer:

P(A\ n\ B) = 0.557

Step-by-step explanation:

Given

P(A) = 0.78

P(B) = 0.65

P(A\ u\ B) = 0.873

Required

Determine P(A\ n\ B)

From laws of probability, we have:

P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)

Substitute in values

P(A\ n\ B) = 0.78 + 0.65 - 0.873

P(A\ n\ B) = 0.557

Hence, P(A\ n\ B)<em> is calculated to be 0.557</em>

8 0
2 years ago
If p is a positive integer,then p(p+1)(p-1) is always divisible by?
ElenaW [278]

I am not quite sure what the choices are, but the answer to that problem is:

If p is a positive integer, then p(p+1)(p-1) is always divisible by “an even number”.

The explanation to this is that whatever number you input to that equation, the answer will always be an even number. This is due to the expression p(p+1)(p-1) which always result in a even product.

For example if p=3, then (p+1)(p-1) becomes (4)(2) giving you a even number.

And if for example if p=2, then (p+1)(p-1) becomes (3)(1) which gives an odd product, but we still have to multiply this with p therefore 2*3 = 6 which is even product. The outcome is always even number.

<span>Answer: From the choices, select the even number</span>

4 0
2 years ago
Help me please! Ray BD is the angle bisector.What is the value of x?
Montano1993 [528]

Answer:

x = 4

Step-by-step explanation:

An angle bisector divides an angle into two equal parts.  This means that you can set the two parts equal to each other and solve for x.

8x + 35 = 11x + 23

(8x + 35) - 35 = (11x + 23) - 35

8x = 11x - 12

8x - 11 x = (11x - 12) - 11x

-3x = -12

(-3x)/-3 = -12/-3

x = 4

8 0
3 years ago
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