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Lisa [10]
2 years ago
12

What is the absolute value of the complex number -4- V2/?

Mathematics
1 answer:
Dovator [93]2 years ago
5 0

Answer:

3\sqrt{2}

Step-by-step explanation:

Given the complex number z = a + bi then the absolute value is

| z | = \sqrt{a^2+b^2}

Given - 4 - \sqrt{2} i, then absolute value is

\sqrt{(-4)^2+(-\sqrt{2})^2 }

= \sqrt{16+2}

= \sqrt{18} = \sqrt{9(2)} = 3\sqrt{2}

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Peter is saving money to buy an MP3 Player. After one month, he has $50. After two months he has $85. After three months, he has
taurus [48]

Answer:

9 months

Step-by-step explanation:

peter is saving 35 dollars per month.  

295=35x

295/35=8.42 which is less than 295

9 is an approximate answer

35*9 equals 315, which is enough to pay 295 and have 20 dollars left over

8 0
3 years ago
Someone please answer this. Please give answer in form of square root.
sergey [27]
V=A_bh\\
A_b=\dfrac{3a^2\sqrt3}{2}\\
a=4\\
h=9\\\\
V=\dfrac{3\cdot4^2\sqrt3}{2}\cdot9\\
V=216\sqrt3
4 0
3 years ago
Ms. Anderson made a New year's resolution to go on a diet and exercise more. On January 1st , she weighed 160 pounds. Two months
laiz [17]

Answer: 15%

Step-by-step explanation:

From the question, we are informed that Mrs Anderson weighed 160 pounds earlier and two months later, she had dropped to 136 pounds. To. Calculate the percent of decrease in her weight goes thus:

We've to find her decrease in weight first. This will be:

= 160 pounds - 136 pounds

= 24 pounds

Percentage decrease will now be:

= Change in weight/Original weight × 100

= 24/160 × 100

= 0.15 × 100

= 15%

The percent of decrease in her weight is 15%.

3 0
3 years ago
(1×10,000)+(3×100)+(5×10)+(9× 10 1 ​ )+(8× 100 1 ​ ) as a decimal number.
andrey2020 [161]

Answer: 19,267.0


Step-by-step explanation:

1. You have the following information given in the problem above:

(1*10,000)+(3*100)+(5*10)+(9*101)+(8*1001)

2. To solve this exercise, first you must multiply the number that ar inside the parentheses and then you must add all of them, as you can see below:

10,000+300+50+909+8008=19,267

3. Rewriting is as a decimal, you have that the answer is:

19,267.0

8 0
2 years ago
What is the volume of the pyramid in the diagram?
Lesechka [4]

Answer:

A. 25 cm^3.

Step-by-step explanation:

Volume = 1/3 * area of base * perpendicular height,

= 1/3 * 5^2 * 3

= 5^3

= 25.

5 0
3 years ago
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