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yan [13]
4 years ago
7

Simplify (10 + 3i)(5 – 2i) ...?

Mathematics
2 answers:
iogann1982 [59]4 years ago
6 0
(10+3i)(5-2i)
30i=50-20i
50i=50
i=1

maybe
Fiesta28 [93]4 years ago
3 0

Answer:

56-5i

Step-by-step explanation:

Given are two complex numbers

10+3i and 5-2i

We are to find its product

Let us use foil method to multiply these two binomials.

(10+3i)(5-2i)\\=50+15i-20i-6i^2\\

Use the fact that i square =-1

We get product

= 50-5i+6\\=56-5i

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the jurassic zoo charged $11 for each adult admission and $8 for each child. the total bill for the 195 people from a school tri
Otrada [13]

Children : 144

Adults : 51

Explanation

Step 1

Set the equations

let

x represents the number of children

y represents the number of adults

charge per child:8

charge per adult:11

total people:195

then

a)the total people is 195, so

x+y=195\rightarrow equation(1)

b) the total bill was $1713,so

total childrend +total adults=173

but,

total adults cost= rate*number of adults

total children cost= rate*number of childe

replacing

8x+11y=1713\rightarrow equation(2)

Step 2

solve the equations,

\begin{gathered} x+y=195\rightarrow equation(1) \\ 8x+11y=1713\rightarrow equation(2) \end{gathered}

a) isolate the x value from equation 81) and replace in eqaution (2)

\begin{gathered} x+y=195\rightarrow equation(1) \\ \text{subtract y in both sides} \\ x+y-y=195-y \\ x=195-y \end{gathered}

replace in equation (2)

\begin{gathered} 8x+11y=1713\rightarrow equation(2) \\ 8(195-y)+11y=1713 \\ 1560-8y+11y=1713 \\ 3y+1560=1713 \\ \text{subtract 1560 in both sides} \\ 3y+1560-1560=1713-1560 \\ 3y=153 \\ \text{divide bothsides by 3} \\ \frac{3y}{3}=\frac{153}{3} \\ y=51 \end{gathered}

therefore, the number of adults is 51

b) now, replace the y value into equation (1) to find x

\begin{gathered} x+y=195\rightarrow equation(1) \\ x+51=195 \\ \text{subtract 51 in both sides} \\ x+51-51=195-51 \\ x=144 \end{gathered}

so, the number of children is 144

I hope this helps you

4 0
1 year ago
in a survey of 600 people 360 said their favorite topping is pepperoni what percentage of the people said pepperoni was their fa
LenaWriter [7]

Answer:

60%

Step-by-step explanation:

Total number of people in the survey = 600

And 360 said their favorite was pepperoni.

Percentage of those who said pepperoni was their favorite will be

No. Of those who said their topping was pepperoni divided by the total number of people in the survey multiplied by 100%

That’s

360/600 x 100%

0.6 x 100%

60%

8 0
3 years ago
If y = 9 inches, z = 14 inches, h = 5 inches, and w = 4 inches, what is the area of the object?
vekshin1

Answer:

126

Step-by-step explanation:

7 0
2 years ago
I need help on this question, think any of you guys could help?
levacccp [35]

Answer:

We need to find the circumference, and in order to find the circumference we must know the formula for it.

Formula for circumference of a circle;

a = 2πr

Where π is the pi(3.14 or 22/7), and r is the radius which is half of the diameter.

Since we are given the diameter, we need to find the radius. So 1/2 of the diameter (26 x 1/2) = is 13

Now we just plug in the actual values in the formula:

a = 2πr

a = 2 x 3.14 x 13

a = <u>18.84 feet</u>

But now, we need to find how many revolutions it would take to get to 500 feet.

So we divide 500 feet by 18.84 feet;

500/18.84 = 26.53, around 27 revolutions.

3 0
2 years ago
Identify the two-dimensional shape of the cross-section if the cube shown is sliced horizontally.
stepan [7]
Sadly, the cube you promised us is not shown.

IF the cube is resting on the table in the normal way ... with
two of its faces horizontal and the other four faces vertical,
then any horizontal or vertical slice is a square.

You know what's fun ?  Try doing this problem with cubes of
chocolate cake, and after you make slices, look at them and
then eat them.
3 0
3 years ago
Read 2 more answers
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