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3 years ago

Find the quotient of 5+4i/6+8i , and express it in the simplest form

1 answer:

7 0

Remember: i² = -1

$\frac{5+4i}{6+8i}= \frac{(5+4i)(6-8i)}{(6+8i)(6-8i)}= \frac{30-40i+24i-32i^2}{36-64i^2}= \frac{30-16i-32(-1)}{36-64(-1)}= \\ \\ = \frac{30-16i+32}{36+64}= \frac{62-16i}{100}=0.62-0.16i$

Hope this helps

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Brainly for correct answer -- step by step explination <3

prohojiy [21]

Answer:

694 ft²

Step-by-step explanation:

Calculate the area of all 6 walls, noting that the front and back faces are congruent as are the 2 side faces and top/bottom faces

area = 2(13 × 8.5) + 2(11 × 8.5) + 2(13 × 11)

= 221 + 187 + 286 = 694 ft²

4 0

3 years ago

What sample size is needed to give a margin of error within plus-or-minus 5% in estimating a population proportion with 90% conf

VARVARA [1.3K]

Answer: 271.

Step-by-step explanation:

When the prior population proportion of success is not available, then the formula to find the sample size is given by :-

$n=00.25(\dfrac{z_{\alpha/2}}{E})^2$

Given : Significance level : $\alpha: 1-0.90=0.1$

By using the standard normal distribution table ,

Critical value : $z_{\alpha/2}=1.645$

Margin of error : $E=0.05$

Then , the required minimum sample size will be :-

$n=0.25(\dfrac{(1.645)}{0.05})^2=270.6025\approx271$

Hence, the required minimum sample size is 271.

4 0

2 years ago

What is two thirds of eight

AlladinOne [14]

5 + 0.33333...

If you don't immediately recognize 0.33333.... as 1/3 (a very common fraction you should memorize), you can do the following. 

x = 0.33333... 

Multiply that by 10 to shift everything 1 place to the left: 
10x = 3.33333... 

Now subtract: 
10x - x = 3.33333... - 0.33333... 
9x = 3 
x = 3/9 
x = 1/3 

Answer: 
5 1/3 

P.S. Here's a shortcut way to turn a repeating decimal into a fraction. 

1) Take the repeated part and put it over an equivalent number of nines. 

Example: 
0.57575757... = 57/99 

At that point, see if you can reduce the fraction: 
= 19/33 

Another example: 
0.123123123... = 123/999 
= 41/333 

So in your example: 
5.33333... = 5 + 0.33333... 
= 5 + 3/9 
= 5 1/3

8 0

3 years ago

If a spinner is divided into 2 sections is spun 5 times, how many outcomes are possible?

Karo-lina-s [1.5K]

The final number of outcomes would end up being 10 possible outcomes because you would do five and multiply it by two. And there would be a possibility of landing on any of ten outcomes. Hope I helped reassure you of your answer :)

5 0

3 years ago

Read 2 more answers

What is 7(-3). I am confuse and don't understand.

emmasim [6.3K]

7(-3) is an example of multiplication. What the question wants you to do is multiply the outside number (7) by the inside number (-3).
Basically you are just multiplying -3 x 7.
Your product is -21

7 0

3 years ago