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Paraphin [41]
3 years ago
15

Three moons are in the same circular orbit around a planet. The moons are each 115,000 kilometers from the surface of the planet

, located at points A, B, and C. The planet is 45,000 kilometers in diameter and m∠ABC=90∘. How far is point A from point C?
Mathematics
2 answers:
attashe74 [19]3 years ago
8 0

Answer:

275,000

Step-by-step explanation:

Diametre of the planet = 45,000

Each moon is 115,000 away from the planet (represented by A, B, and C

Moons A, B, and C form a right triangle.

AC form the hypotenuse.

So, take the distance from the Planet to moon C (115,000) add it the distance from the Planet to Moon A (115,000) and add the diametre of the planet (45,000) to get the answer 275,000

2(115,000) + 45,000 = 275,000

marshall27 [118]3 years ago
7 0
275,000 km
The moons A, B, C form a right triangle with AC forming a hypotenuse with the diameter of the planet and the distance of both moons from the surface. So add A to the surface, plus the diameter of the planet, plus surface to c.
115000+45000+115000 = 275000
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Answer:

y=5x+8

Step-by-step explanation:

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4 years ago
A phone company offers two monthly plans. Plan A costs $25 plus an additional $0.09 for each minute of calls. Plan B has no init
Lisa [10]

Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

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For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is b = 25, the slope is of a = 0.09, and the function is:

A(x) = 0.09x + 25

For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is b = 0, the slope is of a = 0.14, and the function is:

B(x) = 0.14x

The plans cost the same for x minutes of calling, considering that:

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0.14x = 0.09x + 25

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x = \frac{250}{0.05}

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The two plans cost the same for 5000 minutes of calling.

To learn more about linear functions, you can take a look at brainly.com/question/24808124

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