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Nadusha1986 [10]
3 years ago
7

Hello! Please help!! I really need this.​

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
7 0

Answer:

<u>Lets show that:</u>

  • cos x cos 2x cos 4x cos 8x = sin 16x / 16 sinx

<u>Use formula:</u>

  • sin 2x = 2 sin x cos x

<u>Multiply LHS by 2sinx/2sinx:</u>

  • 2sinx cos x cos 2x cos 4x cos 8x / 2 sin x =
  • sin 2x  cos 2x cos 4x cos 8x / 2 sin x =
  • 2sin 2x cos 2x cos 4x cos 8x / 4 sin x =
  • sin 4x  cos 4x cos 8x / 4 sin x =
  • 2sin 4x  cos 4x cos 8x / 8 sin x =
  • sin 8x cos 8x / 8 sin x =
  • 2 sin 8x cos 8x / 16 sin x =
  • sin 16x / 16 sin x

<u>Now, we can easily find that:</u>

  • sin (16*2π/15) = sin (2π/15)

<u>Coming back to the original equation, we get:</u>

  • cos (2π/15) cos (4π/15) cos (8π/15) cos (16π/15) = sin (16*2π/15) / 16 sin (2π/15)
  • cos (2π/15) cos (4π/15) cos (8π/15) cos (16π/15) = 1/16
IrinaVladis [17]3 years ago
4 0

its a i did this a while ago

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Solve each quadratic equation. Show your work. 4x^2=100
ZanzabumX [31]
Hello there!

4x² = 100

We wanna start by dividing both sides by 4

4x²/4 = 100/4

x² = 25

Now we can take square root

x = +/-√25

x = 5 or x = -5

As always, it is my pleasure to help students like you!
4 0
3 years ago
Need this question ASAP!!! Grayson bought a rectangular waste basket that is 1 1/2 feet long, 3/4 foot wide, and 2 feet high . F
deff fn [24]

Answer:

9/4 cubic feet

Step-by-step explanation:

1.5*3/4*2=9/4

4 0
3 years ago
Hi, umm pls help<br><br> 1/6(x-5)=1/2(x+6), solve for x <br><br> And can you please explain
Mumz [18]

Answer:

By solving the equation \frac{1}{6}(x-5)=\frac{1}{2}(x+6) we found that   x=\frac{23}{2} \text { or }=11 \frac{1}{2}

<u>Explanation:  </u>

Given equation,

\frac{1}{6}(x-5)=\frac{1}{2}(x+6) to find x  

Step: 1 Cross multiply the denominators 2(x-5)=6(x+6)  

Step: 2 Open brackets and simplify the term 2x-10=6x+36  

Step: 3 Bring x terms on one side and simplify the equation the equation obtained is following,  

2x-6x=36+10

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-x=\frac{46}{4}=\frac{23}{2}=11 \frac{1}{2}

Therefore, we solved x value from the given equation \frac{1}{6}(x-5)=\frac{1}{2}(x+6) as x=\frac{23}{2} \text { or }=11 \frac{1}{2}.

4 0
3 years ago
Please hurry and also explain how to do this thanks I really appreciate everyone's help!!!​
andriy [413]

Answer: 112 in sq

Step-by-step explanation: Square: 10 x 10=100 + triangle: 10 - 6 on top = 4

4 x 16 - 10 = 6 on left so... 1/2 x 6 x 4= 12 in sq. So A= 100+12= 112in sq

5 0
3 years ago
a coach asked two players how much water they drank before practice. Ashley said she drank 1/2 pint and Claire said she drank 0.
Andre45 [30]
1. The problem gives the following information: <span>Ashley said she drank 1/2 pints and Claire said she drank 0.7 pints.

 2. Therefore, to solve this problem you must follow the proccedure that is shown below:

 3. You must sum the amount of water that  Ashley and Claire drank before the practice. Then, you have:

 1/2 pints=0.5 pints (Ashley)
 0.7 pints (Claire)

 x=0.5 pints+0.7 pints
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</span><span>
 How many pints of water did Ashley and Claire drink combined?
</span><span>
 The answer is: 1.2 pints or 1 1/5 pints
 </span>
8 0
3 years ago
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