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NNADVOKAT [17]
3 years ago
7

What is the value of y in the triangle?

Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0

Answer:

• From trigonometric ratios:

{ \rm{ \sin( \theta) =  \frac{opposite}{hypotenuse}  }} \\

→ theta is 41°

→ opposite is y

→ hypotenuse is 26 ft

{ \tt{ \sin(41)  =  \frac{y}{26} }} \\  \\ { \tt{y = 26 \sin(41) }} \\  \\ { \boxed{ \tt{ \: y = 17.06 \:  \: ft}}}

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3(6+5y)=2(-5+4y) help huhu
FinnZ [79.3K]

Answer:

-4 = y

Step-by-step explanation:

3(6+5y)=2(-5+4y)

18 + 15y = -10 + 8y

+10             +10

28 + 15y = 8y

      - 15y     -15y

 28 = - 7y

28/-7 = -4

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4 0
4 years ago
Read 2 more answers
A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function
kykrilka [37]

Answer:

- Stretching the parent function f(x) =\frac{1}{x}  vertically .

 - Shifting the parent function f(x) =\frac{1}{x}  5 units right.

Step-by-step explanation:

<h3>The complete exercise is: " A 100 gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function  f(x) = \frac{100}{x -5} represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function f(x) =\frac{1}{x} transformed to create the graph of f(x) = \frac{100}{x -5}?"</h3><h3 />

Below are some transformations for a function   :

1. If f(x)+k, the function is shifted "k" units up.

2. If f(x)-k, the function is shifted "k" units down.

3. If f(x)-k, the function is shifted "k" units right.

4. If  f(x)+k, the function is shifted "k" units left.

5. If  bf(x) and b>1  the function is  stretched vertically by a factor of "b".

6. If bf(x) and 0   the function is compressed vertically by a factor of "b".

The exercise gives the following parent function:

f(x) =\frac{1}{x}

And you know that the transformed function which represents the remaining time in minutes needed to fill the tank, is:

f(x) = \frac{100}{x -5}

Therefore, based on the transformations explained before you can identify that the graph of the transformed function is created by:

- Stretching the parent function f(x) =\frac{1}{x}  vertically.

- Shifting the parent function f(x) =\frac{1}{x}  5 units right.

7 0
3 years ago
Read 2 more answers
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melamori03 [73]
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3 years ago
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Mazyrski [523]

Answer:

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Step-by-step explanation:

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Answer:

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Hope this helps ( :

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