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OLga [1]
3 years ago
6

What is the missing cotangent data (cot) in the picture?

Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Step-by-step explanation:

<em>Look at the picture.</em>

Hmm.... If the angle θ is correctly marked on your photo, then your solution is incorrect.

You write the function values ​​but for the angle 180° - θ.

\sin(180^o-\theta)=\sin\theta\\\cos(180^o-\theta)=-\cos\theta\\\tan(180^o-\theta)=-\tan\theta\\\cot(180^o-\theta)=-\cot\theta

Therefore

for

x=-7,\ y=24,\ r=\sqrt{(-7)^2+24^2}=\sqrt{49+576}=\sqrt{625}=25

Let θ be this angle in your picture.

\sin\theta=\dfrac{24}{25}\\\\\cos\theta=-\dfrac{-7}{25}=\dfrac{7}{25}\\\\\tan\theta=-\dfrac{24}{-7}=\dfrac{24}{7}\\\\\cot\theta=-\dfrac{-7}{24}=\dfrac{7}{24}\\\\\sec\theta=\dfrac{1}{\cos\theta}=\dfrac{1}{\frac{7}{25}}=\dfrac{25}{7}\\\\\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{24}{25}}=\dfrac{25}{24}

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SOVA2 [1]

Answer:

A

Step-by-step explanation:

Given

\frac{1}{3} x - 8 = - 12 ( multiply through by 3 to clear the fraction )

x - 24 = - 36 ( add 24 to both sides )

x = - 12 → A

6 0
3 years ago
When factored completely, the expression 3x2 - 9x + 6 is equivalent to
Lunna [17]
Let's see what the options look like when we multiply the expressions in brackets:

(first, i multiply both parts of the second bracked by the first part of the first bracket, and then the same with the second part of the first bracket:
<span>(1) (3x - 3)(x - 2))

3x2 +6x -3x +6// this is not correct

(2) (3x + 3)(x - 2) </span>


3x2-6x+3x-6//this is not correct

(3)

3(x + 1)(x - 2)
3(x2-2x+x-2)//simplifying:
3(x2-x-2)//multiplying:
3x2-3x-6)
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3(x2-3x +2)
3x2-9x +6 - well, here is our winner!






8 0
3 years ago
Read 2 more answers
Elizabeth has $50 in a savings account that earns 10% interest, compounded annually.
iris [78.8K]

Answer:

You would get around $44.35 just round it. Hope this helps:)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Expand 3(x+ 2.3) <br> Expand 1/3(9x-12)
Snezhnost [94]

Answer:

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Step-by-step explanation:

since 3 x x is 3x and the sign in the bracket is addition you place it there then place 3 x 2.3

being 6.9.

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4 0
3 years ago
3. The price of a pair of shoes is $64.00 plus 9% sales tax. What is the sales tax on this pair of shoes in dollars and cents? A
Luden [163]

Step-by-step explanation:

To figure out this answer, you need to figure out how much 9% is in $64.00

  ?              9

-------   =   --------  

 64           100

Now to solve this you have to multiply diagonally and divide the neighbor

(let me explain)

basically in this case, you would multiply 64 and 9, then divide by 100

64 * 9 = 576

576 / 100 = <em><u>$5.76</u></em>

<em><u /></em>

In short: your answer is<em><u> 'A' $5.76</u></em>

<em><u /></em>

Hope this helps <3

8 0
3 years ago
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