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vredina [299]
3 years ago
7

Radius of square root of 5

Mathematics
1 answer:
m_a_m_a [10]3 years ago
4 0

Answer:

-2

Step-by-step explanation:

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Can anybody show me how to do this half angle identity problem STEP BY STEP? I always seem to be missing something
klio [65]

Answer:   \bold{-\dfrac{7\sqrt2}{10}}

<u>Step-by-step explanation:</u>

It is given that θ is between 270° and 360°, which means that θ is located in Quadrant IV ⇒ (x > 0, y < 0).  Furthermore, the half-angle will be between 135° and 180°, which means the half-angle is in Quadrant II ⇒ cos\ \dfrac{\theta}{2}

It is given that sin θ = -\dfrac{7}{25}  ⇒  y = -7 & hyp = 25

Use Pythagorean Theorem to find "x":

x² + y² = hyp²

x² + (-7)² = 25²

x² + 49 = 625

x²         = 576

      x   =  24    

Use the "x" and "hyp" values to find cos θ:

cos\ \theta=\dfrac{x}{hyp}=\dfrac{24}{25}    


Lastly, input cos θ into the half angle formula:

cos\bigg(\dfrac{\theta}{2}\bigg)=\pm \sqrt{\dfrac{1+cos\ \theta}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{1+\dfrac{24}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{\dfrac{25}{25}+\dfrac{24}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{\dfrac{49}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{49}{50}}\\\\\\.\qquad \quad =\pm \dfrac{7}{5\sqrt2}}\\\\\\.\qquad \quad =\pm \dfrac{7}{5\sqrt2}}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\.\qquad \quad =\pm \dfrac{7\sqrt2}{10}

Reminder: We previously determined that the half-angle will be negative.

6 0
3 years ago
The verbal expression for 15+r
Vadim26 [7]
Fifteen increased by a number
4 0
3 years ago
If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system
olya-2409 [2.1K]

Answer:

b) If the graphs of the linear equations in a system are parallel, there is no solution to the given system of equation.

Step-by-step explanation:

Parallel Lines:

Two straight lines l and m are said to be parallel if they do not intersect at any point, if infinitely extended in either direction.

Now, if the graphs of the linear equations in a system are parallel

⇒ By the definition, both the graphs have NO INTERSECTING POINT.

⇒There is not even one common point available to the given system of  

   equation.

Hence, There is no solution to the given system of equation.

7 0
4 years ago
I don’t understand this at all help please
Talja [164]

Answer:

225 km^2

Step-by-step explanation:

Area of a trapezoid: ((Base 1 + Base 2) x h) / 2

(11 + 19) x 15 / 2

= 225 km^2

5 0
3 years ago
One week Alaina ran 12 miles in 131.25 minutes. The next, Alaina ran 12 miles in 119.5 minutes. If she ran in a constant pace du
vlabodo [156]
Ou should not increase to more than 12 miles next week<span>; ... </span>25 miles<span> a </span>week<span>, usually a 7 </span>milerun<span> ... before I </span>run<span> a half. Using that method</span>
6 0
3 years ago
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