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Diano4ka-milaya [45]
3 years ago
15

Help please ! It’s geometry

Mathematics
1 answer:
bearhunter [10]3 years ago
6 0

Answer:

90 °

Step-by-step explanation:

\sqrt{5 \times 12}

\sqrt[5]{3}

\sqrt{6 \times 5}

\sqrt[5]{3}

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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
Urgent please help quick!!!
Radda [10]

Answer:

x=-1\\y=-1

Step-by-step explanation:

5x+5y=-10\\3x-7y=4

Let's solve the first equation for either x or y. I'll do it for x.

5x+5y=-10

Begin by subtracting 5y.

5x=-5y-10

Now divide by 5.

x=\frac{-5y}{5}-\frac{10}{5}

Simplify:

x=-y-2

Now substitute x in the second equation for this value.

3x-7y=4\\3(-y-2)-7y=4

Distribute;

-3y-6-7y=4

Add 6

-3y-7y=4+6

Combine like terms;

-10y=10

Divide by -10.

y=\frac{10}{-10}\\ y=-1

-----------------------------------------------------------------------------------------------------------

Take this value of y and replace it in the first equation to find the value of x.

5x+5y=-10\\5x+5(-1)=-10\\5x-5=-10\\5x=-10+5\\5x=-5\\x=\frac{-5}{5}\\ x=-1

5 0
3 years ago
There are 12 people in cafe. half of them are drinking coffee. How many people are drinking coffee?​
enot [183]
The answer is 6 people.

Half of the 12 people in the cafe would be 6 people. You can find half of a number by dividing it by two, or multiplying it by .5
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3 years ago
This Venn diagram represents the science subjects studied by students. What is the probability that a student, chosen at random,
kow [346]

Answer:

i belive it is either 3 students or 8 cuz the numbers confued

me

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3 years ago
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IReady Math! Please, help!
sertanlavr [38]

Answer:

A. 2 acute and 1 right angle.

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3 years ago
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