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Pachacha [2.7K]
3 years ago
11

* If cos330°=(√3/2) then prove that;

Mathematics
2 answers:
Shkiper50 [21]3 years ago
8 0

We can use the following equation to determine the value of 165 degrees;

1 - cos(2x)

_______     =     sin²x

     2

Here x = 165 degrees, as we want to prove the value of sin(165)

So that would make 2x = 165(2) = 330. We know cos(330) = √3/2. If we substitute;

1 - √3/2

_______     =    sin²x,

    2

sin = √(1 - √3/2)/2 = √((2 - √3)/4) = √2(√3 - 1) / 4

= √3 - 1 / 2√2 (Proved)

Daniel [21]3 years ago
5 0

Step-by-step explanation:

Im sorry but knowing formula this is the answer I get

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I am stuck at this question​
Marrrta [24]

Answer:

Step-by-step explanation:

B(2,10); D(6,2)

Midpoint(x1+x2/2, y1+y2/2) = M ( 2+6/2, 10+2/2) = M(8/2, 12/2) = M(4,6)

Rhombus all sides are equal.

AB = BC = CD =AD

distance = √(x2-x1)² + (y2- y1)²

As A lies on x-axis, it y-co ordinate = 0; Let its x-co ordinate be x

A(X,0)

AB = AD

√(2-x)² + (10-0)² = √(6-x)² + (2-0)²

√(2-x)² + (10)² =  √(6-x)² + (2)²

√x² -4x +4 + 100 =  √x²-12x+36 + 4

√x² -4x + 104 =  √x²-12x+40

square both sides,

x² -4x + 104 =  x²-12x+40

x² -4x - x²+ 12x = 40 - 104

             8x = -64

               x = -64/8

               x = -8

A(-8,0)

Let C(a,b)

M is AC midpoint

(-8+a/2, 0 + b/2)  = M(4,6)

     (-8+a/2, b/2)  = M(4,6)

Comparing;  

-8+a/2 = 4          ; b/2 = 6

  -8+a = 4*2       ; b = 6*2

  -8+a = 8          ; b = 12

        a = 8 +8

       a = 16

Hence, C(16,12)

6 0
3 years ago
Help with this problem?
ankoles [38]
3(x-8)=12
I got this equation since there are three of the "x-8" sections that add up to the twelve length bar above
5 0
3 years ago
562 ÷ Choose... = 14 R2
Zolol [24]

Answer:

7868

Step-by-step explanation:

⇒ This can be written algebraically (with a variable <em>x</em>) as:

562 ÷ x = 14

⇒ Convert the division as a fraction:

\frac{562}{x} = 14

⇒ Multiply both sides by 562 to get rid of the fraction and to isolate the variable <em>x</em>:

562 · \frac{562}{x} = 14 · 562

⇒ Simplify:

x = 7868

<u>Answer:</u> 7868

<em></em>

<em>Hope this helps!</em> :)

4 0
3 years ago
73 and 4.4 x 10 to the 6th power
Lubov Fominskaja [6]

Answer:

4,400,073

Step-by-step explanation:

Ez

8 0
3 years ago
If the radius of a circle with a area of 5.3 mm squared is multiplied by 5,
chubhunter [2.5K]
I'm guessing the question is meant to be "<span>If the radius of a circle with a area of 5.3 mm squared is multiplied by 5, what will the new area be?", so i'll answer that.

Area of a circle =</span>πr^2

5.3=πr^2, 5.3=π(5r)^2
132.5=25πr^2
6 0
4 years ago
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