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3 years ago

6

one section of a city sinks an average of 3 inches of each year. what is the average amount the elevation changes in this city o

ver 5 years?

1 answer:

Nadusha1986 [10]3 years ago

7 0

The average is 15 because 5x3=15

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X = ? y = ? 16 45 degrees

mezya [45]

Let's put more details in the figure to better understand the problem:

Let's first recall the three main trigonometric functions:

$\text{ Sine }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Hypotenuse}}$ $\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}$ $\text{ Tangent }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Adjacent Side}}$

For x, we will be using the Cosine Function:

$\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}$ $Cosine(45^{\circ})\text{ = }\frac{\text{ x}}{\text{ 1}6}$ $(16)Cosine(45^{\circ})\text{ = x}$ $(16)(\frac{1}{\sqrt[]{2}})\text{ = x}$ $\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}$ $\text{ 8}\sqrt[]{2}\text{ = x}$

Therefore, x = 8√2.

For y, we will be using the Sine Function.

$\text{ Sine }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Hypotenuse}}$ $\text{ Sine }(45^{\circ})\text{ = }\frac{\text{ y}}{\text{ 1}6}$ $\text{ (16)Sine }(45^{\circ})\text{ = y}$ $\text{ (16)(}\frac{1}{\sqrt[]{2}})\text{ = y}$ $\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}$ $\text{ 8}\sqrt[]{2}\text{ = y}$

Therefore, y = 8√2.

5 0

1 year ago

Plz help ASAP!!!!!!!!

lilavasa [31]

Answer:

The answer is 95.03

Step-by-step explanation

The formula that I used

A=πr^2

Area = π·5.5^2 ≈ 95.03318

Hope that helps :)

4 0

3 years ago

Use the following function rule to find f(r+4). simplify your answer .. f(n)=n+4

Fudgin [204]

N=54........................

7 0

3 years ago

Max’s car travels 33 miles for every gallon of gas. On a road trip with a total distance of 512 miles, to the nearest gallon of

Archy [21]

Answer:

About 15 gallons.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Michael visited his grandparents.The total distance was 280 miles.By train,he could travel 90 miles per hour.By bus he could tra

lesya692 [45]

Michael could save about 95 minutes by taking the train.

4 0

3 years ago