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2 years ago

Help. divide and simplify(104i)/(3+i) express a in a + bi form

1 answer:

3 0

Here we're dividing, but what actually happens is that we get the " i " out of the denominator:

104i 104i 3-i 312i + 104 312i + 104
------- = --------- * -------- = --------------- = ----------------
3+i 3+i 3-i 9+1 10

Note that 3-i is the "conjugate" of 3+i.

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I really need a detailed explanation, please don't give me a two sentenced answer. I don't understand this at all and it's due s

maks197457 [2]

Answer:

we need circumference which is pie times d

9 pie

Step-by-step explanation:

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3 years ago

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Lenny rolls two number cubes. What is the probability that the sum of the numbers Lenny rolls is either 4 or 7?

Mashutka [201]

Probability of an event =

(number of ways the event can happen) / (total number of possible outcomes) .

Well, the total number of possible outcomes is easy. It's

(6 possibilities for the first cube) x (6 possibilities for the 2nd cube)

= 36 total possible ways for two cubes to roll.

Now, how many of those possibilities show either 4 or 7 ?

Well, here's how a 4 can come up:

1 . . . 3

2 . . . 2

3 . . . 1

and here's how a 7 can come up:

1 . . . 6

2 . . . 5

3 . . . 4

4 . . . 3

5 . . . 2

6 . . . 1 .

So there are 9 ways all together for Lenny to be successful.

The probability is (9/36) .

That's 1/4 , or 25% .

7 0

2 years ago

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Item 1

AleksandrR [38]

It took them 4 days to install 480 chairs which means if they were working at a constant rate they got 120 chairs installed daily. with 360 chairs left that means in 3 days they will finish. so overall, it took the workers 7 days to finish, or a week.

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2 years ago

Brainliest pls help

Airida [17]

<h3>Volume:</h3>

With this prism, first separate it into a rectangular prism and a right triangle prism.

First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3

The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.

With this, plug the numbers in for both prisms to get the volume of each of them:

Rectangular prism Volume

5*5*6.3

157.5

Right triangle prism Volume

(3*5*6.3) / 2

94.5 / 2

47.25

Lastly, combine these two values to get the total volume:

157.5 + 47.25 = 204.75 (Round Up) -->

204.8 cm^3 = Total Volume

<h3>Surface Area:</h3>

Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.

First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:

8 * 6.3 = 50.4

Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.

5.8 * 6.3 = 36.54

Then, the top side with the lengths 5cm and 6.3 cm.

5.3 * 6.3 = 33.39

After that, the left side face that opposite to the slantly one:

5 * 6.3 = 31.5

Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:

1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).

So, within each of these right trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:

1/2 x (5+8) * (5)

1/2 x (13) * (5)

1/2 x (65)

32.5

Since there's two of them, times this by 2:

32.5 * 2 ---> 65.

Now, with the area of all of the faces, these can be added up for the total surface area:

50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->

216.8 cm^2 = Total Surface Area

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2 years ago

Question 2

Tasya [4]

Answer:

24x+48 using the distributive property.

Step-by-step explanation:

5 0

3 years ago

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