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Alexus [3.1K]
3 years ago
15

Light travels at 186,000 miles per second. Light takes about 11⁄3 seconds to travel from the earth to the moon. Calculate the di

stance between the earth and the moon based on the speed of light.
Mathematics
1 answer:
san4es73 [151]3 years ago
7 0

Answer:

682,000 miles

Step-by-step explanation:

Using the ratio of 186,000 miles per second:

\frac{miles}{second}=\frac{186,000}{1}

we can set up a proportion (equivalent ratios) to find the distance, in miles, from the earth to the moon

\frac{186,000}{1}=\frac{x}{\frac{11}{3}} where 'x' is the number of miles between the earth and the moon

Cross-multiply:  x = 186,000*\frac{11}{3}

Solve for x = 682,000 miles

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Question 17
RoseWind [281]

Answer:

Perpendicular

Step-by-step explanation:

Remember that:

  • Two lines are parallel if their slopes are the same.
  • Two lines are perpendicular is their slopes are negative reciprocals.
  • And two lines are neither (a.k.a intersecting) if they are neither parallel nor perpendicular.

So, let's find the slope of QR and ST.

QR)

We can use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let Q(-6, 11) be (x₁, y₁) and R(2, -1) be (x₂, y₂). Substitute:

m=\frac{-1-11}{2-(-6)}

Subtract:

m=-12/8=-3/2

So, the slope of QR is -3/2.

ST)

Let S(-4, 8) be (x₁, y₁) and T(-1, 10) be (x₂, y₂). Substitute:

m=\frac{10-8}{-1-(-4)}

Subtract:

m=2/3

So, the slope of ST is 2/3.

The negative reciprocal of -3/2 is 2/3.

And the negative reciprocal of 2/3 is -3/2.

So, the slopes are indeed negative reciprocals of each other.

So, QR and ST are perpendicular.

7 0
3 years ago
Read 2 more answers
Questlon 9 of 10
slavikrds [6]

Answer:

a) tan = 15/8

b) csc = 17/15

d) sec = 17/8

Step-by-step explanation:

Let me know if this is right Please :(

hope this helps :)

7 0
3 years ago
A calculator is required to obtain the final answer on this question. A solid metal sphere at room temperature 20oC is dropped i
yKpoI14uk [10]

Answer:

T = 47.1875°C

Step-by-step explanation:

Given:

Surrounding temp, Ts = 100°C

Initial Temperature ,T0= 20°C

Increase in temperature = 15°C

Final temperature, T = 20 + 15 = 35°C

Time, t = 9 seconds

Let's take Newton's law of cooling:

T - Ts = (T_0 - Ts)e^k^t

We'll solve for k

35 - 100 = (20 - 100)e^9^k

-65 = (-80)e^9^k

Divide both sides by -5

13 = (16)e^9^k

9k = ln (\frac{13}{16})

k = \frac{1}{9} ln (\frac{13}{16})

k = -0.02307104053

Let's now find the temperature of the ball after 18 seconds in boiling water.

Use the Newton's equation again:

T - Ts = (T_0 - Ts)e^k^t

T - 100 = (20 - 100)e^-0.0^2^3^0^7^1^0^4^0^5^3^*^1^8

T - 100 = (-80)e^-0.0^2^3^0^7^1^0^4^0^5^3^*^1^8

T - 100= -52.8125

T = 100 - 52.8125

T = 47.1875°C

Temperature of the ball after 18 seconds in boiling water is 47.1875°C

5 0
4 years ago
Light travels 186,282 miles per second. How many miles will light travel in one year? (Use 365 days in a year) This unit ofdista
Phantasy [73]

Answer:

5,874,589,152,000 mi.

Step-by-step explanation:

3 0
3 years ago
Richard and Nestor create paintings. Richard creates 40 paintings in 28 days.
Evgen [1.6K]

Answer:

Richard

Step-by-step explanation:

40÷4 weeks(28 days)=10

Nestor:45÷5=9

5 0
3 years ago
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