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TEA [102]
3 years ago
5

WILL GIVE BRAINLIEST

Mathematics
1 answer:
puteri [66]3 years ago
6 0

Step-by-step explanation:

{EF}^{2} =   {EG}^{2}   -  {FG}^{2}  \\  \\  =  {8}^{2}   -  {6}^{2}  \\  \\  = 64 - 36 \\  \\  = 28 \\  \\  \therefore \:  {EF} =  \sqrt{28}  \\  \\ \therefore \:  {EF} =  2\sqrt{7}  \\  \\  \sin \: E =  \frac{FG }{EG}  =  \frac{6}{8}  =  \frac{3}{4}  \\  \\   \huge\red {\boxed{\therefore \:  \sin \: E = \frac{3}{4}} } \\\sec \: G =  \frac{ EG}{FG}  =  \frac{8}{6}  =  \frac{4}{3}  \\  \\   \huge\purple {\boxed{ \therefore \: \sec \: G = \frac{4}{3}}} \\\\\cot \: G =  \frac{ FG}{EF}  =  \frac{6}{2\sqrt 7}  =   \frac{3}{\sqrt 7}  \\  \\  =   \frac{3\times\sqrt 7 }{\sqrt 7\times\sqrt 7 }  \\  \\  =   \frac{3\sqrt 7 }{ 7 }  \\  \\   \huge\orange {\boxed{ \therefore \: \cot \: G =  \frac{3\sqrt 7 }{ 7 } }} \\\\

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Given that vector p=i+2j-2k and q=2i-j+2k, find two vectors m and m satisfying the condition;
Stels [109]

9514 1404 393

Answer:

  • m = j +k
  • n = 2i +k

Step-by-step explanation:

There are <em>an infinite number of possibilities</em>. Any vector whose dot-product with p is zero will be perpendicular to p.

Let m = 0i +1j +ak. Then we require ...

  m·p = 0 = 0×1 +1×2 +a(-2)   ⇒   0 = 2 -2a   ⇒   a = 1

m = 0i +1j +1k

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Let n = 2i +0j +bk

  n·p = 0 = 2×1 +0×2 +b(-2)   ⇒   2 -2b = 0   ⇒   b = 1

n = 2i +0j +1k

6 0
2 years ago
A store advertises 15% off an item that regularly sells $300.what is the sale price off the item?
Komok [63]
The original price of the item is said to be 100 dollars.
Now, it offers 15% discount. Let's solve for the dicounted price.
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=> 300 * .15 
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3 0
3 years ago
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Write down the equation of a line whose slope is -7 and crosses the y-axis at 7. Express in slope-intercept form.
Gre4nikov [31]

Answer:

y= -7x+7

Step-by-step explanation:

y= mx+b

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7 0
2 years ago
12 - Δ = 3<br> Find the value of Δ.<br><br> A) 4 <br> B) 8 <br> C) 9 <br> D) 10
Karolina [17]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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There are two approaches to solving the equation -3x + 10 = 4x - 20
pashok25 [27]

Answer:

X =30/7

Step-by-step explanation:

The first way would be something like:

-7x + 10 = -20. The first thing we would do is to subtract 10 from both sides.

Therefore,

-7x+10-10=-20-10

Simplified, we get

-7x=-30

Remove the negative symbols

7x =30

x=30/7

Second example:

10=7x - 20

Add 20 to both sides.

10+20=7x-20+20

Simplified,

30=7x

x = 30/7

4 0
2 years ago
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