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2 years ago

I need help with this math question.

Mathematics

1 answer:

laiz [17]2 years ago

7 0

Answer:

23 children and 9 adults

p <= 70/9

Step-by-step explanation:

Let x = # of adults and y = # of children. The number of children is 5 more than twice the number of adults, so x = 2y + 5. The total cost of entrance is $6525, so 225x + 150y = 6525.

x = 2y + 5

225x + 150y = 6525

x - 2y = 5

225x + 150y = 6525

75x - 150y = 375

225x + 150y = 6525

300x = 6900

x = 23

x = 2y + 5

23 = 2y + 5

18 = 2y

y = 9

225p + 3750 <= 5500

225p <= 1750

p <= 70/9

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The measured value of Theta is 53.1 degrees.

Given

The radius of the circle below intersects the unit circle at (3/5, 4/5).

<h3>What is tan theta?</h3>

The measure of the tan angle is defined as the ratio of perpendicular by the base.

The measure of the tan theta is;

$\rm Tan\theta=\dfrac{x}{y}$

Where the value of x is 3/5 and y is 4/5.

Substitute all the values in the formula

$\rm Tan\theta=\dfrac{x}{y}\\\\\rm Tan\theta=\dfrac{\dfrac{4}{5}}{\dfrac{3}{5}}\\\\\\Tan\theta = \dfrac{4}{5} \times \dfrac{5}{3}\\\\Tan \theta=\dfrac{4}{3}\\\\\theta=tan{-1}(\dfrac{4}{3})\\\\\theta=53. 1 \ degrees\\\\$