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mrs_skeptik [129]
3 years ago
10

cylinder shaped pitcher diameter 12 cm height 25 cm. volume of juice in pitcher when its 25% full? 3.14 to approximate pi

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0
<span>Cylinder Volume   =   </span><span>π <span>• r² • height
</span></span><span>Cylinder Volume   =   3.14 * 6^2 * 25
</span><span>Cylinder Volume   =   3.14 * 36 * 25
</span>Cylinder Volume   =   <span> <span> <span> 2,826 cubic centimeters
25% of 2,826 = </span></span></span> <span> <span> <span> 706.5 </span> </span> </span> cc


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14 What are the solutions to the equation 3(x − 4)² = 27?
Marat540 [252]

Answer:

(1) 1 and 7

Step-by-step explanation:

Hello!

We can solve by isolating the variable.

<h3>Solve</h3>
  • 3(x - 4)² = 27
  • (x - 4)² = 9
  • √(x - 4)² = √9
  • (x - 4) = ± 3
  • x = 4 ± 3

There are two solutions, 1 and 7.

The answer is option 1: x = 7, x = 1.

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2 years ago
Trig: Which complex number's graph is shown?
Andrei [34K]

ANSWER

2 \sqrt{2} ( \cos( \frac{7\pi}{4}   + i  \sin(  \frac{7\pi}{4} ) )

EXPLANATION

The complex number shown has coordinates (2,-2)

or

z = 2 - 2i

The modulus is

|z|  =  \sqrt{ {2}^{2}  +  {( - 2)}^{2} }

|z|  =  \sqrt{ 8} = 2 \sqrt{2}

The argument is

\theta= \tan^{ - 1} ( \frac{ - 2}{2} )

\theta= \tan^{ - 1} ( -1) =  \frac{7\pi}{4}

The polar form is

2 \sqrt{2} ( \cos( \frac{7\pi}{4}   + i  \sin(  \frac{7\pi}{4} ) )

The first option is correct.

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