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kicyunya [14]
3 years ago
6

Can someone help I don’t understand this!?

Mathematics
2 answers:
vaieri [72.5K]3 years ago
8 0

Answer:

to do this you need to know that cos= adjacent/hypotenous.

Therefore your answer would be cos55=12/x

Step-by-step explanation:

alexira [117]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Let's label what we currently have:

Hypotenuse = x

Opposite = 12

Adjacent = ?

Since the answer choices are asking us to use cosine, we will need to use the cosine formula:

cos=\frac{adjacent}{hypotenuse}

It seems like we don't have the adjacent side yet. However, if we use another angle, we can find out what x is. We know one angle is 35°. Since it is a right triangle, the other angle is 90°. Since all triangles add up to 180°, we know that the other angle is 55°. We CAN use cosine to find x if we use the 55° angle.

Let's label our new areas:

Hypotenuse=x

Opposite=?

Adjacent=12

By using the cosine formula, we can now use the two values we have in the equation.

cos 55=\frac{12}{x}

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2 years ago
The function f(x) = 200 × (1.098)x represents a village's population while it is growing at the rate of 9.8% per year.
AlexFokin [52]

The time for the village to dig the new well is about 7 1/2 years. At this time the population doubles from its current size.

<h3>How to graph a function?</h3>

For a function f(x) = y, the steps to draw a graph for the given function are as follows:

  • Consider certain values of x
  • Substitute x values in the given function to obtain y values
  • Plot the x and y values in the graph
  • Join the points to know the variation.

<h3>Calculation:</h3>

It is given that,

f(x) = 200 × (1.098)^x

Village's population growing rate = 9.8%

Creating a table for x and f(x) values:

x: 0   2   4   6   8   10

f(x = 0) = f(0) = 200 × (1.098)^0 = 200

f(x = 2) = f(2) = 200 × (1.098)^2 = 241

f(x = 4) = f(4) = 200 × (1.098)^4 = 291

f(x = 6) = f(6) = 200 × (1.098)^6 = 350

f(x = 8) = f(8) = 200 × (1.098)^8 = 423

f(x = 10) = f(10) = 200 × (1.098)^1^0 = 509

So,

(x, f(x)): (0, 200)  (2, 241)  (4, 291)  (6, 350)  (8, 423)  (10, 509)

Plotting these points in the graph and joining the points, the graph is shown below.

Finding the time for the village to dig a new well:

It is given that the population doubled from its current size, the village will need to dig new water well.

The current size of the village = 200

If it doubles for a certain time 't' = 400

So,

400 = 200 × (1.098)^t

⇒ (1.098)^t = 2

⇒ log(1.098)^t = log 2

⇒ t log(1.098) = 0.301

⇒ t × 0.04 = 0.301

∴ t = 7.525 years

Therefore, the village's population becomes double at the time 7 and half years from now. So, after 7 1/2 years, the village needs to dig a new well.

Learn more about the function and its graph here:

brainly.com/question/4025726

#SPJ1

3 0
1 year ago
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