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scoray [572]
3 years ago
13

Help please and show the steps

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0

9514 1404 393

Answer:

  (a) 12∠0.1

  (b) 3∠-0.1

  (c) (1/3)∠-0.1

Step-by-step explanation:

In this answer, we will use the notation r∠φ to identify the "r-part" and the "φ-part" of your polar-form complex numbers.

Given: z = 3∠0.1

(a) 4z = 12∠0.1 . . . . .  the r-part is multiplied by the scalar

(b) z* = 3∠-0.1 . . . . .  the conjugate is formed by negating the angle

(c) 1/z = (1/3)∠-0.1 . . . . the reciprocal inverts the magnitude and negates the angle.

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Louis wants to carpet the rectangular floor of his basement. The basement has an area of 500 square feet. The width of the basem
Mazyrski [523]

Answer:

The correct answer is the length is 10 feet and width is 2 feet respectively.

Step-by-step explanation:

Let length of the rectangular floor of Louis' basement be l feet and width be \frac{l}{5} feet respectively.

Area of the basement floor is given to be 500 square feet.

Therefore according to the given problem,

l × \frac{l}{5}  = 500

⇒ l^{2} = 100

⇒ l = 10 ; [length cannot be negative]

⇒ b = 2

Thus the length and width be 10 feet and 2 feet respectively.

4 0
3 years ago
I don’t understand constant rates of change help!
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Answer:

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Step-by-step explanation:

5 0
4 years ago
PLEASE HELP QUICK
KATRIN_1 [288]

1) The probability of getting a queen is 187/10000 which is 0.0187 = 1.87%


2) The probability is 449 / 479 which is 0.937 = 93.7%


You may need to round the answers. It doesn't say if they need to be rounded or not.

8 0
3 years ago
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Step-by-step explanation:

8 0
3 years ago
Can someone please help?
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x = 3x - 70 as corresponding angles

2x = 70

x = 35

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∠LMN = 35⁰


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3 years ago
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