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3 years ago

(a) Amy pumped 35 gallons of water out of her pool. This was done over a period of 5 minutes at

Mathematics

1 answer:

Dafna11 [192]3 years ago

6 0

Answer:

7 gallons

Step-by-step explanation:

35 gallons: 5 minutes

find constant rate(one min per x number of gallons)

35:5

divide by 5 to get one minute

7:1

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Convert the complex number z = 4 - 10i from rectangular form to polar form.

mrs_skeptik [129]

ANSWER

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

EXPLANATION

The polar form of a complex number ,

$z = x + yi$

is given by:

$z = r( \cos( \theta) + i \sin( \theta) )$

where

$r = \sqrt{ {x}^{2} + {y}^{2} }$

The given complex number is:

$z = 4 - 10i$

$r = \sqrt{ {4}^{2} + {( - 10)}^{2} }$

$r = \sqrt{16 + 100}$

$r = \sqrt{116} = 2 \sqrt{29}$

And

$\theta= \tan^{ - 1}(\frac{ y}{x} )$

$\theta= \tan^{ - 1}(\frac{ - 10}{4} )$

$\theta= 292 \degree$

Hence the polar form is :

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

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3 years ago

If no number can be used more than once, how many different 2-digit numbers can be formed from the digits 4, 6, and 8?

ikadub [295]

Answer:

Six.

Step-by-step explanation:

hoped this helped!

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3 years ago

Can someone tell me what it is and explain it in an easy way, I'm kind of an idiot

lubasha [3.4K]

1/2 x 3/4
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3 years ago

In a sample of 400 customers at a fast-food restaurant, it was

damaskus [11]

If you put them into to proportion
156/400 and then put a variable for the unknown x/1200
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3 years ago

A parabola intersects at x-axis at x= 2 and x= 6. What is the x-coordinate of the parabolas vertex?

charle [14.2K]

Answer:

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Step-by-step explanation:

The vertex is on the line of symmetry. The zeros are located equidistant from the line of symmetry, which is ...

x = (2 + 6)/2 = 4

The x-coordinate of the vertex is x=4.

8 0

3 years ago