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stiv31 [10]
3 years ago
12

Find the indicated side of the triangle !!!

Mathematics
2 answers:
babymother [125]3 years ago
7 0

Answer:

b = 6

Step-by-step explanation:

The above questions is trigonometry where hypothenus = 12; opposite = b; and adjacent = a. Applying SOHCAHTOA principle, the appropriate is

Sine = opposite/hypothesis, since we are to find the value of b. Thus,

Sine 30 = b/12

0.5 =b/12

By cross multiplying,

b = 0.5 × 12

b = 6

maks197457 [2]3 years ago
5 0

Answer:

<u>The correct answer is b = 6 √3 units</u>

Step-by-step explanation:

Let's recall that we can use the following ratio for the sides of a 90 - 60 - 30 triangle:

1 : √3 : 2, where 2 is the hypotenuse.

Upon saying that, we have that in our triangle:

Hypotenuse = 12 units

a = 6 units

b = 6 √3 units

<u>The correct answer is b = 6 √3 units</u>

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Please see the image and help with this homework problem. thank you!
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we have the function

E=\sin \frac{\pi}{14}t

Part a

For t=7

substitute in the given function

\begin{gathered} E=\sin \frac{\pi}{14}7 \\ E=1 \end{gathered}

For t=14

\begin{gathered} E=\sin \frac{\pi}{14}14 \\ E=0 \end{gathered}

For t=21

\begin{gathered} E=\sin \frac{\pi}{14}21 \\ E=-1 \end{gathered}

For t=28

\begin{gathered} E=\sin \frac{\pi}{14}28 \\ E=0 \end{gathered}

For t=35

\begin{gathered} E=\sin \frac{\pi}{14}35 \\ E=1 \end{gathered}

Observation: The values of E varies from -1 to 1, including the zero

Part B

Remember that

The Period goes from one peak to the next

so

Period=2pi/B

B=pi/14

Period=(2pi)/(pi/14)=2pi*14/pi=28

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kolezko [41]
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The function that represents bruce’s elevation in feet over time in hours is an exponential function that starts at 1,505 feet.
Strike441 [17]

Answer:

<h3>The function for Bruce’s elevation is f(x)=1505(6)^x and because b=6 that is greater than 0, it is an exponential growth function.</h3>

Step-by-step explanation:

We are given initial Bruce’s elevation = 1,505 feet.

Each successive hour, his average elevation change for the hike becomes 6 times the previous hourly elevation change.

We know, the exponential function f(x)=a(b)^x, where a is the initial value, b is the growth factor and x is the exponent represents time in hours.

Therefore, initial value a=1505, growth factor b for exponential function f(x)=a(b)^x is 6.

Plugging a=1505 and b=6 in f(x)=a(b)^x , we get

f(x)=1505(6)^x

Also note, if b>0, it would be an exponential growth function.

<h3>Therefore, the function for Bruce’s elevation is f(x)=1505(6)^x and because b=6 that is greater than 0, it is an exponential growth function.</h3>
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Step-by-step explanation:

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