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iren [92.7K]
4 years ago
6

What is the exact value of cos 22.5°?

Mathematics
1 answer:
Marat540 [252]4 years ago
7 0
cos( \frac{x}{2} )= \pm  \sqrt{ \frac{1+cosx}{2} } \\\\ cos( \frac{45}{2} )= \pm \sqrt{ \frac{1+cos(45)}{2} } \\\\ cos( 22.5)= \pm \sqrt{ \frac{1+ \frac{ \sqrt{2} }{2} }{2} } \\\\ cos( 22.5)= \pm \sqrt{ \frac{ \frac{2+ \sqrt{2} }{2} }{2} } \\\\ cos( 22.5)= \pm \sqrt{ {\frac{ 2+\sqrt{2} }{2}*  \frac{1}{2} }} \\\\  cos( 22.5)= \pm \sqrt{ {\frac{ 2+\sqrt{2} }{4}}} \\\\ cos(22.5)= \pm  \frac{ \sqrt{2+ \sqrt{2} } }{2}
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When Viviana purchases her car, she agrees to pay $126,00 down and $108.83 per month for one year. How much will she pay for the
kondor19780726 [428]

Answer:

Well if she is paying $126.00 and $108.83/month, she would be paying $1305.96 for the year and then add the $126.00 to it for the money she paid down for it making it $1431.96 for the entire year. BRAINLIEST ANSWER PLZZ!!

Step-by-step explanation:

7 0
3 years ago
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Use factoring to solve <br> 3x^2-11x-6=0
Zielflug [23.3K]

Answer:

x = -0.62 and x = 4.29

These values are approximations !

Step-by-step explanation:

You can not use Factoring to solve this equation. Perhaps you did not use the exact notation as in the original question?

Anyway, to solve it, you can still use the ABC formula.

3x²-11x-6=0

a = 3

b =-11

c = -6

x = [11 + √{121 -4(3 *-6)} ]/ 2*3

x = [11 + √{121 -4(-24)} ]/ 6

x = [11 + √{121 + 96} ]/ 6

x = [11 + √{217} ]/ 6

x = 4.29 This is an approximation !

x = [11 - √{121 -4(3 *-6)} ]/ 2*3

x = [11 - √{121 -4(-24)} ]/ 6

x = [11 - √{121 + 96} ]/ 6

x = [11 - √{217} ]/ 6

x = -0.62 This is an approximation !

extra: see the graph.

4 0
3 years ago
Does anyone know this? <br> Pls help ASAP !
katovenus [111]

Answer:

BC = 280ft

Step-by-step explanation:

Because it's a symmetry diagram

the same angles and lengths.

Hope this helps :)

7 0
3 years ago
Abraham has visited 10 countries already. he has a goal of visiting at least 50 countries. he plans to achieve this goal by visi
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3 0
3 years ago
The picture shows
mixer [17]

Answers:  

  • a)   693 sq cm   (approximate)
  • b)   48 sq cm   (exact)

============================================================

Explanation:

Part (a)

A regular triangular pyramid, aka regular tetrahedron, has all four triangles that are identical copies of one another. They are congruent triangles. This will apply to part (b) as well.

To find the area of one of the triangles, we'll use the formula

A = 0.25*sqrt(3)*x^2

where x is the side length. This formula applies to equilateral triangles only.

In this case, x = 20, so

A = 0.25*sqrt(3)*x^2

A = 0.25*sqrt(3)*20^2

A = 173.20508 approximately

That's the area of one triangle, but there are four total, so the entire area is about 4*173.20508 = 692.82032 which rounds to 693 sq cm.

The units "sq cm" can be written as "cm^2".

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

Part (b)

We'll use the same idea as part (a). But the formula to find the area of one triangle is much simpler.

The area of one of the triangles is A = 0.5*base*height = 0.5*6*4 = 12 sq cm.

So the area of all four triangles combined is 4*12 = 48 sq cm

This area is exact.

The area of each 2D flat net corresponds exactly to the surface area of each 3D pyramid. This is because we can cut the figure out and fold along the lines to form the 3D shapes.

7 0
3 years ago
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