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kondaur [170]
3 years ago
10

If cos2A=11/25, show that cosA=6/5√2​

Mathematics
1 answer:
Hatshy [7]3 years ago
7 0

Answer:

it is not I think...

Step-by-step explanation:

Using the identity

\cos(2a) = 2 \cos^2(a) - 1

We can solve:

2 \cos^2(a) - 1 = \frac{11}{25}

2 \cos^2(a) = \frac{36}{25}

\cos^2(a) = \frac{18}{25}

\cos(a) = \sqrt \frac{18}{25}

\cos(a) = \sqrt{ 2 \cdot \frac{3^2}{5^2} }= \frac35 \sqrt 2

So whoever asked the question forgot the factor 2!!!

Or did I miss anything??

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Foci of ellipse of 3x2 + y2 =9
Oksi-84 [34.3K]

Answer:

x=√-1/3 y^2 +3 or x=-√-1/3 y^2 +3

Step-by-step explanation:

Let's solve for x.

3x2+y2=9

Step 1: Add -y^2 to both sides.

3x2+y2+−y2=9+−y2

3x2=−y2+9

Step 2: Divide both sides by 3.

3x^2/3= -y^2+9/3

x^2=-1/3 y^2 +3

x=√-1/3 y^2 +3 or x=-√-1/3 y^2 +3

Hope it helped!

8 0
3 years ago
How do you write 72% as a fraction and as a decimal?
statuscvo [17]
72% as a decimal is 0.72.

72% as a fraction is 72/100 = 18/25.
8 0
3 years ago
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Evaluate this expression.<br> y + 7, if y = 12
photoshop1234 [79]

Answer:

\huge{ \boxed{ \sf{19}}}

Step-by-step explanation:

\underline{ \sf{Given}} :  \sf{y = 12}

\underline{ \sf{To \: Find}} :   \sf{Value \: of \: the \: given \: expression}

\sf{y + 7}

plug the value of y

\mapsto{ \sf{12 + 7}}

Add the numbers: 12 and 7

\mapsto{ \sf{19}}

Hope I helped!

Best regards! :D

~\text{TheAnimeGirl}

6 0
3 years ago
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Which of the following is the square root of 17 to the nearest tenth? A) 2.9 O B) 2 O C) 4.1 OD) 6.9​
katrin2010 [14]

Answer: 4.1

Step-by-step explanation:

8 0
3 years ago
Tennis balls are packed into a square box 23cm on one side. The tennis balls can be touching, but they can't be compressed. (1in
victus00 [196]

Answer:

The problem stats you cannot compress the balls; so you can not round up. You must round down. That means 4 x4 x4. There will be 16 balls per layer and 4 layers. So 48 balls.

The volume of the box is 12%5E3 inches.

 

You are told the diameter of a ball is 2.5 inches. So the radius of a ball is 1.25 inches

The volume of each ball is %284%2F3%29pi%2Ar%5E3

Subtract the volume of 16 balls from the volume of the box to get the volume of the packing bead material

To get the percentage of beads to box, divide the bead volume by the box volume and multiply by 100%

6 0
3 years ago
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