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3 years ago

Find the volume of the cylinder. Use 3.14 for pie

Mathematics

1 answer:

Rudik [331]3 years ago

3 0

Volume of a cylinder formula is
$v = \pi {r}^{2} \times h$
$v = 3.14 \times {3}^{2} \times 12$

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30 divided by 1.25 with work

vesna_86 [32]

Answer:

Step-by-step explanation:

If you need an explaination you should immediatly remove yourself from the Gene pool, this is a 3rd grade question.

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3 years ago

(7 + 7i)(2 − 2i)

Ostrovityanka [42]

The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

$\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)$

$\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)$

$\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}$

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

=21-21i

After converting into the exponential form:

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

From part (b) and part (c) both results are the same.

Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

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2 years ago

My mom died can u help me

nata0808 [166]

Answer: 5 minutes

Step-by-step explanation:

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3 years ago

Read 2 more answers

Identify two composite numbers that each have 8 as a factor.

Dima020 [189]

<span>A composite number, we remember, is a whole number (no decimals or fractions) that can evenly divide (again, into no fractions or decimals) into two numbers other than itself and 1 (sort of the opposite of a prime number). So, 8 needs to be one of the two numbers. Pick another number--any whole number--and multiply it by 8. The result will be your composite number. Two examples: 8 times 6 equals 48. This works as 48 divided by 8 equals 6, both of which are whole numbers other than 48. Another is 72, the product of 8 times 9.</span>

5 0

3 years ago

Fifteen 7th graders were asked how many hours they spend doing homework each week and how many hours they spend watching televis

timama [110]

Answer:

18 > 14, true

12 - 16 = -4, true

Homework = (4 + 6*2+10*3+12*2+14*4+16*2+18)/15 = 11.73
Television = (0 + 10*3+12*1+16*3+18*4+20*3)/15 = 14.8

<u>The difference:</u>

14.8 - 11.73 > 1, NOT true

True

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3 years ago