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2 years ago

If a = 2 + i, and b = 3 – 2i, whats b/a?

1 answer:

3 0

Hello :
<span>b/a = (3-2i)/(2+i)
= </span>(3-2i)(2-i)/(2+i)(2-i)
= (3-2i)(2-i)/(2²-i²) .......i² = -1
= (6-3i-4i -2)/5
=(4 -7i)/5
b/a = (4/5)-(7/5) i

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Jane has $1 and 9 quarters in her pile. Brody has 13 quarters in his pile. If Jane gives Brody $1 and Brody gives Jane 4 quart

lord [1]

Answer:

Yes it will still be equal bc Brody has $3.1 and jane gave brody 1 more dollar then brody gave jane 4 quarters which is 1 dollar that's how the piles will still be the same

Step-by-step explanation:

plz mark brainilist

6 0

2 years ago

Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 324 minus

olchik [2.2K]

The width of the cooling tower at the base of the structure will be A. 36 meters.

<h3>How to calculate the width?</h3>

From the information given, the towers walls are modeled by x²/324 - (y² - 90)²/1600.

Therefore, the width of the cooling tower at the base of the structure will be:

= 2 × ✓324

= 2 × 18

= 36

In conclusion, the width is 36 meters.

Learn more about width on:

brainly.com/question/25855344

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3 0

1 year ago

Assume that the random variable X is normally distributed, with mean ? = 50 and standard deviation ? = 7. Compute the following

sineoko [7]

Answer:

Step-by-step explanation:

Given that the random variable X is normally distributed, with

mean = 50 and standard deviation = 7.

Then we have z= $\frac{x-50}{7} is N(0,1)$

Using this and normal table we find that

a) $P(56$

b) When z=0.02

we get

$x=50+0.02(7)=50.14$

c) 90th percentile z value =1.645

90th percentile of X $=50+7(1.645)\\= 50+11.515\\=61.515$

4 0

2 years ago

if a car drives 80 miles in 1 hours how many miles will the car travel in 30 minutes at this rate? how many miles will it travel

eimsori [14]

40 miles in 30 minutes, 60 miles in 45 minutes

divide 80 by 60 (mins in a hour) then multiply that’s by the number of minutes (30,45)

4 0

3 years ago

Analyze the diagram below and complete the instructions that follow?

yan [13]

Answer:

The exact value of tan(M) is 5/12 ⇒ answer (C)

Step-by-step explanation:

* Lets revise the trigonometry functions

- In ΔABC

# m∠B = 90°

# Length of AB = a , length of BC = b and length of AC = c

# The trigonometry functions of angle C are

- sin(C) = a/c ⇒ opposite side to ∠C ÷ the hypotenuse

- cos(C) = b/c ⇒ adjacent side to ∠C ÷ the hypotenuse

- tan(c) = a/b ⇒ opposite side to ∠C ÷ adjacent side to ∠C

* Now lets solve the problem

- In ΔONM

∵ m∠N = 90°

∵ MN = 12

∵ ON = 5

∵ tan(M) = ON/NM ⇒ opposite side of ∠(M) ÷ adjacent side of ∠(M)

∴ tan(M) = 5/12

* The exact value of tan(M) is 5/12

6 0

3 years ago