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fgiga [73]
4 years ago
15

Help me with this problem pls

Mathematics
1 answer:
Vika [28.1K]4 years ago
3 0

Answer:

72 degrees

Step-by-step explanation:

360/5=72

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Write the given expression as an algebraic expression in x. tan(2 cos^-1(x))
miv72 [106K]
\bf tan\left[ 2cos^{-1}(x) \right]\implies tan\left[ 2cos^{-1}\left( \frac{x}{1} \right) \right]
\\\\\\
\textit{if we say }cos^{-1}\left( \frac{x}{1} \right)=\theta\textit{  that means }tan\left[ 2cos^{-1}\left( \frac{x}{1} \right) \right]\iff tan(2\theta)\\\\
-----------------------------\\\\
cos^{-1}\left( \frac{x}{1} \right)=\theta\implies cos(\theta)=\cfrac{x}{1}\cfrac{\leftarrow adjacent=a}{\leftarrow hypotenuse=c}\\\\
-----------------------------\\\\


\bf \textit{again, using the pythagorean theorem to get the opposite side}
\\\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b\implies \pm\sqrt{1^2-x^2}=b
\\\\\\
\pm\sqrt{1-x^2}=b\\\\
-----------------------------\\\\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\implies tan(2\theta)=\cfrac{2\cdot \frac{\pm\sqrt{1-x^2}}{x}}{1-\left( \frac{\pm\sqrt{1-x^2}}{x} \right)^2}
\\\\\\

\bf tan(2\theta)=\cfrac{\frac{\pm2\sqrt{1-x^2}}{x}}{1-\frac{1-x}{x}}\implies 
tan(2\theta)=\cfrac{\frac{\pm2\sqrt{1-x^2}}{x}}{\frac{x-1+x}{x}}
\\\\\\
tan(2\theta)=\cfrac{\pm2\sqrt{1-x^2}}{x}\cdot \cfrac{x}{2x-1}
\implies 
tan(2\theta)=\cfrac{\pm 2\sqrt{1-x^2}}{2x-1}


6 0
4 years ago
N2 + 2N + 1 for N =5<br>51<br>36<br>21<br>which one correct
Anna35 [415]

Answer:

21.is the answer to this question....

5*2+5*2+1

10+10+1

20+1

21

Plz mark as brainliest

6 0
4 years ago
Read 2 more answers
Brianna has 4 pink bracelets. One third of all her bracelets are pink. How many bracelets does brianna have?
aivan3 [116]
Hey there!

Let's first evaluate this problem, and the keyword we need to use. The problem says that out of the total number of bracelets Brianna has, x, 1/3 of them are pink. The reason the word of is so important throughout math is that it signifies multiplication. For example, 1/2 of 10 is 5 because 1/2 times 10 is 5.

Now, to apply that to this situation, we need to create an equation, a mathematical statement that indicated the equilibrium or equality of two values. Since we have 1/3 of all her bracelets, x is four, we can set up our equation. Here's another good keyword- is. Is signifies an equation, because it means "equal to" mathematically. For example, 5 is equal to 20/4.

We have:

1/3(x) = 4 

(One-third of x, the total amount of bracelets, is four.)

We don't want that fraction there. In order to get rid of it and keep the expression equal, we multiply both sides by 3. We have,

x = 12

Hope this helps!
8 0
3 years ago
What is the area of this shape
Luba_88 [7]

Answer:

108 units^2

Step-by-step explanation:

(1+8)/2 = 4.5 and 4.5*24=108

7 0
3 years ago
If a shape is a regular pentagon with five sides what must be true
Dimas [21]

A pentagon is a closed 5 sided polygon.

A regular polygon has all sides equal as well as all angles equal.

°The formula to find the sum of all angles of a polygon is = (n-2) ×180

So for a pentagon, n= 5

So the sum of all the angles must be (5-2)× 180= 3 × 180 = 540.

Now as it is a pentagon, it shall have 5 vertices.

So there are 5 angles in a pentagon and all must be equal.

Hence each interior angle must be 540/5 = 108

So for a regular polygon with 5 sides must have each interior angle = 108

7 0
3 years ago
Read 2 more answers
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