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3 years ago

Manila, Philippines, has one of the highest population densities in the world with 111,002

1 answer:

5 0

14.9 Square miles.
To find the square miles divide the population by the population density.
1652171/111002 = 14.9 Square miles

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Find the following expression

kondaur [170]

Answer:

40/30

Step-by-step explanation:

$\tan(c) = \frac{40}{30} = \frac{4}{3}$

5 0

3 years ago

Simplify 2 exponent 9 plz hurry on test

kvv77 [185]

2 to the 9th power 512. Hopes this helps!

5 0

3 years ago

Find the values of x and y. Write your answers in simplest form

SCORPION-xisa [38]

Answer:

$x =6$

$y=6\cdot \sqrt{2}$

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Choosing any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image shows a right triangle where the angle of 45° has x as the opposite leg, 6 as the adjacent leg, and y as the hypotenuse. The trigonometric ratio that applies here is the cosine ratio, defined as:

$\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

$\displaystyle \cos 45^\circ=\frac{6}{y}$

Solving for y:

$\displaystyle y=\frac{6}{\cos 45^\circ}$

$\cos 45^\circ=\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}$

Substituting:

$\displaystyle y=\frac{6}{\frac{1}{\sqrt{2}}}$

$y=6\cdot \sqrt{2}$

Now use the tangent ratio:

$\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 45^\circ=\frac{x}{6}$

Solving for x:

$x=6\cdot\tan 45^\circ$

$\tan 45^\circ=1$

Substituting:

$x=6\cdot 1$

$x =6$

Answer:

$x =6$

$y=6\cdot \sqrt{2}$

6 0

3 years ago

The cost C (in dollars) of making n feet of cabinet is represented by C = 18n + 45.

likoan [24]

The amount of board is 5.5 feet because 18*5.5=99 and 144-45 is 99.

5 0

3 years ago

Grant thinks he has reached the point where he has maximized his profit. However, because this can be tricky to determine, he is

Mashcka [7]

Answer:c

Step-by-step explanation:

Profit maximization happens with marginal revenue is equal to marginal cost, so if Grant's assumption was right before selling the extra unit, when he actually sells the extra unit, this will increase his revenue

That's why the answer is c

Marginal revenue will exceed marginal cost

6 0

3 years ago