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Verizon [17]
3 years ago
11

Find the exact values for sin theta​, cos θ​, and tan θ. A right triangle has a vertical side of length 12, a horizontal side of

length 35, and a hypotenuse of length 37. The angle formed by the sides of lengths 35 and 37 is labeled θ.
Mathematics
1 answer:
slega [8]3 years ago
5 0

Answer:

SinƟ  = 12/37

CosƟ    =35/37

TanƟ = 12/35

Step-by-step explanation:

The diagram of the triangle is attached

Using SOH CAH TOA

SinƟ = Opposite/Hypotenuse

SinƟ  = 12/37

CosƟ= adjacent/Hypo tenuse

CosƟ    =35/37

TanƟ=Opposite/Adjacent

TanƟ = 12/35

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Divide. Round to the nearest tenth<br><br> .16 divided by .03220
Flauer [41]

Answer

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The total cost, y, for Leah and x friends to go to an amusement park can be modeled by a
Katarina [22]

Answer:

Range of the function is:

{55.25, 100.50, 145.75, 191.00, 236.25, 281.50}

Step-by-step explanation:

Given that:

Seating capacity of the car = 6

Entrance fee per person = $45.25

Parking fee per car = $10

Leah is accompanied by x friends.

So, the total cost can be modeled as the following linear function:

y=45.25x+10

Now, the value of x i.e. number of friends going with Leah can be any of the following:

0, 1, 2, 3, 4 or 5 (because maximum capacity of the car is 6).

Leah is also going.

So, total number of people can be 1, 2, 3, 4, 5 or 6.

Therefore, the table of x, y can be:

\begin{center}\begin{tabular}{ c c}x & y \\ 1 & 55.25  \\  2 & 100.50  \\   3 & 145.75  \\ 4 & 191  \\ 5 & 236.5   \\ 6 & 281.50   \\\end{tabular}\end{center}

Here, the value of y is nothing but the range of the function.

Therefore, the range of the linear function is:

{55.25, 100.50, 145.75, 191.00, 236.25, 281.50}

7 0
3 years ago
GUYS PLEASE HELP WITH MY MWTH TEST
OleMash [197]

Answer:

sinθ = 5/13

cosθ = 12/13

tanθ = 5/12

Step-by-step explanation:

Get the remaining side(hypotenuse) first,

hypotenuse^2 = 12^2 + 5^2  (Pyth. theorem)

hypotenuse = 13

sinθ = 5/13

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tanθ = 5/12

6 0
3 years ago
(5 - 3i) - (6 + 5i)
sweet-ann [11.9K]

Answer:

-(8 i + 1)

Step-by-step explanation:

Simplify the following:

5 - 3 i - (5 i + 6)

-(6 + 5 i) = -6 - 5 i:

-5 i - 6 + 5 - 3 i

-6 - 5 i + 5 - 3 i = (-5 i - 3 i) + (5 - 6) = -1 - 8 i:

-8 i - 1

Factor -1 from -8 i - 1:

Answer:  -(8 i + 1)

3 0
4 years ago
Calculate the length of a triangle if another length is 15 feet and the hypotenuse is 39 feet.
Y_Kistochka [10]
We have to use Pythagorean theorem that says : 

a^2+b^2=c^2\\\Rightarrow a^2+15^2=39^2\\a^2=39^2-15^2\\a=\sqrt{1296}\\a=36

The missing length of the triangle is : 36 feet
3 0
3 years ago
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