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LUCKY_DIMON [66]
3 years ago
14

What is the reference angle for 295 degrees?

Mathematics
2 answers:
xeze [42]3 years ago
5 0

Answer:

The reference angle for 295° is 65°.

Step-by-step explanation:

Consider the provided information.

Reference angle: Reference angle is always less than or equal to 90°

How to find the Reference angle:

Keep subtracting 360 from the provided angle, if the provided angle is greater than 360° (until it is lies between 0 and 360°).

If Angle lies in first quadrant, reference angle for θ will be same as θ.

If Angle lies in second quadrant, reference angle for θ will be 180° - θ.

If Angle lies in third quadrant, reference angle for θ will be θ - 180°.

If Angle lies in fourth quadrant, reference angle for θ will be 360° - θ.

Now consider the provided reference angle 295°.

The angle lies in fourth quadrant so the reference angle for 295° will be 360° - 295°.

Therefore,

360° - 295° = 65°.

Hence, the reference angle for 295° is 65°.

Kay [80]3 years ago
4 0
A reference angle is always between 0-90. so 360-295=65deg.
<span>Hints:  </span>
<span>Quadrant I angle: reference angle is same as given angle. </span>
<span>Quad II: subtract angle from 180 </span>
<span>Quadrant III: subtract 180 from angle </span>
<span>Quad IV: subtract angle from 360.</span>
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Answer:

The value of first coin will be $151.51 more than second coin in 15 years.

Step-by-step explanation:

You have just purchased two coins at a price of $670 each.

You believe that first coin's value will increase at a rate of 7.1% and second coin's value 6.5% per year.

We have to calculate the first coin's value after 15 years by using the formula

A=P(1+\frac{r}{100})^{n}

Where A = Future value

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Now we put the values

A=670(1+\frac{7.1}{100})^{15}

A=670(1+0.071)^{15}

A=670(1.071)^{15}

A = (670)(2.797964)

A = 1874.635622 ≈ $1874.64

Now we will calculate the value of second coin.

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A=670(1.065)^{15}

A = 670 × 2.571841

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The difference of the value after 15 years = 1874.64 - 1723.13 = $151.51

The value of first coin will be $151.51 more than second coin in 15 years.

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Step-by-step explanation:

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Determine the Vertex of the following absolute value function.
prisoha [69]

Answer:

vertex = (-4, 5)

Step-by-step explanation:

In general, the graph of the absolute value function f(x) = a|x - h| + k will have its lowest value when f(x) = k  (or highest value for f(x) = -a|x - h| + k).  The lowest/highest value is the vertex (turning point).

Therefore, from inspection of the equation we can say that the y-coordinate of the vertex is 5.

Set the equation to 5 and then solve for x:

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<u>Translations</u>

Absolute value parent function:  f(x) = | -x |

Horizontal translation left 4 units:  f(x) = |-x - 4|

Horizontal stretch of sf 1/2:  f(x) = 1/2 |-x - 4|

Vertical translation up 5 units:  f(x) = 1/2 |-x - 4| + 5

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