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jeyben [28]
3 years ago
6

3(10 - x) = 21 30 - 21 30 - 3x = 21 - 3x - 3x -9 = X =

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

Step-by-step explanation:

I am answering blanks left to right and top to bottom.

3x

30 30

-9

-3 -3

x = 3

xxMikexx [17]3 years ago
3 0

Answer:

x=3

hope this answers is ok na

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velikii [3]

Answer:

the second one is your answer

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3 years ago
What is 38.5 as a fraction in simplest form?
aivan3 [116]
38.5 is equal to 38 1/2 
38*2+1= 77, so the fraction in its simplest form is 77/2
6 0
4 years ago
Read 2 more answers
Use the tangent identity to
Lunna [17]

Answer:

tan(x)=\frac{44\sqrt{89}}{89}

Step-by-step explanation:

tan is defined as: tan(x)=\frac{opposite}{adjacent}

sin is defined as: sin(x)=\frac{opposite}{hypotenuse}

cos is defined as: cos(x)=\frac{adjacent}{hypotenuse}

We can also define tan as: tan(x)=\frac{sin(x)}{cos(x)}

because plugging in the definitions of sin and cos in we get: tan(x)=\frac{(\frac{opposite}{hypotenuse})}{(\frac{adjacent}{hypotenuse})}\\\\tan(x)=\frac{opposite}{hypotenuse}*\frac{hypotenuse}{adjacent}\\\\tan(x)=\frac{opposite}{adjacent}

which you'll notice is the original definition of tan(x)

So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)

sin(x)=\frac{44}{45}\\\\cos(x)=\frac{\sqrt{89}}{45}\\\\tan(x)=\frac{sin(x)}{cos(x)}

plugging in sin(x) and cos(x) we get:

tan(x)=\frac{\frac{44}{45}}{\frac{\sqrt{89}}{45}}\\\\tan(x)=\frac{44}{45}*\frac{45}{\sqrt{89}}\\\\tan(x)=\frac{44}{\sqrt{89}}

We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.

We can do this by multiplying the fraction by: \frac{\sqrt{89}}{\sqrt{89}} which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator

tan(x)=\frac{44}{\sqrt{89}}*\frac{\sqrt{89}}{\sqrt{89}}\\\\tan(x)=\frac{44\sqrt{89}}{89}

5 0
1 year ago
2
Marysya12 [62]

Answer:

12 units

Step-by-step explanation:

Applying the distance formula, \sqrt{(x_{2}- x_{1})^{2} + (y_{2}- y_{1})^{2} }, you get \sqrt{(2-2)^{2}  +(4+8)^{2}} = 12 units.

3 0
3 years ago
Karen's mom is filling 12 birthday hats with candy for her birthday party. Each hat is shaped like a cone with a height of 6 inc
KatRina [158]

The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³

<h3>What is volume?</h3>

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a cone is given by:

volume = (1/3) * π * radius² * height

The cone that has a height of 6 inches and a radius of 3 inches. Hence:

Volume = (1/3) * π * 3² * 6 = 56.55 in³

For 12 hats:

Volume = 12 *  56.55 in³ = 678.58 in³

The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³

Find out more on volume at: brainly.com/question/12410983

6 0
3 years ago
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