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Tanzania [10]
3 years ago
11

A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the sci

entist can use only these two measurements to calculate the distance between the Sun and the shooting star.

Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0

We know that :

\spadesuit  Cos\theta = \frac{Adjacent Side}{Hypotenuse}

Here Adjacent Side is BC, which is Distance between the Sun and Earth

Hypotenuse is CA, which is Distance between the Sun and Shooting star

⇒ Cosx = \frac{BC}{CA}

Given : Distance between Earth and Sun (BC) = y

⇒ Cosx = \frac{y}{Distance\;between\;the\;Sun\;and\;Shooting\;Star}

⇒ Distance\;between\;the\;Sun\;and\;Shooting\;Star = \frac{y}{Cosx}

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A company finds that its sales since the company started in 2000 can be modelled by the function s(t)=(20t^2+800t+300)/(8t^2+10t
uysha [10]

Solving the quadratic function, the sales are of 9 million in the years of 2000 and 2012.

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

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

x_1 = \frac{-b + \sqrt{\Delta}}{2a}

x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

The number of sales(in millions of dollars), in t years after 2000, is modeled by the following function:

S(t) = \frac{20t^2 + 800t + 300}{8t^2 + 10t + 100}

The sales are of 9 million when S(t) = 9, hence:

S(t) = \frac{20t^2 + 800t + 300}{8t^2 + 10t + 100}

9 = \frac{20t^2 + 800t + 300}{8t^2 + 10t + 100}

72t^2 + 90t + 900 = 20t^2 + 800t + 300

52t^2 - 710t + 600 = 0

Which is a quadratic equation with coefficients a = 52, b = -710, c = 600, hence:

\Delta = (-710)^2 - 4(52)(600) = 379300

x_1 = \frac{710 + \sqrt{379300}}{104} = 12.7

x_2 = \frac{710 - \sqrt{379300}}{104} = 0.91

t is measured in years after 2000, the sales are of 9 million in the years of 2000 and 2012.

More can be learned about quadratic functions at brainly.com/question/24737967

#SPJ1

6 0
2 years ago
Two roadways intersect, forming the angles as shown Which of the following equations could NOT be used to determine the value of
NARA [144]

Answer:

you have to show the equations

Step-by-step explanation:

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3 years ago
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Answer:

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3 years ago
Find the area<br> 3 cm <br> 4 cm
MAXImum [283]

Answer:

96

Step-by-step explanation:

3 x 4 = 12 x 8 because there are eight sides and that would equal 96.

Hope this helps!!!

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3 years ago
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