2. Write (2+5i)(3-1) as a complex number in standard form a+bi.
real part + imaginary part

Answer:

x = 14

y = 18

Step-by-step explanation:

By the property of similar triangles,

If two triangles are similar their corresponding sides will be proportional.

[tex]\frac{AB}{EF}= \frac{AC}{GE}[/tex]

[tex]\frac{5}{10}=\frac{7}{x}[/tex]

x = [tex]\frac{70}{5}[/tex]

x = 14

Similarly, [tex]\frac{AB}{EF}= \frac{CB}{GF}[/tex]

[tex]\frac{5}{10}=\frac{9}{y}[/tex]

y = [tex]\frac{90}{5}[/tex]

y = 18

Answer:

x÷y=8/5 or 1÷1

Step-by-step explanation:

Please mark as brainliest

Answer:

45 : 30

Step-by-step explanation:

30 / 2 = 15

3 * 15

= 45

= 45 : 30

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

33

Step-by-step explanation:

An easy way to do this is create a proportion.

[tex]\frac{18}{6} = \frac{x}{11}[/tex]

Keep in mind you could also write this equation as  [tex]\frac{6}{18} = \frac{11}{x}[/tex] as long as you are consistent. The number of calls should be in the same place and the hours should also be in the same place (either the numerator or denominator).

Next, just cross multiply.

6x = (18)(11)

6x = 198

x = 33 calls

Answer:

They would get 33 calls!

Step-by-step explanation:

Hope this helps!

Answer:

D as 32 divided by 8 is 4

Step-by-step explanation:

A quotient is a result obtained by dividing one quantity by another.

Answer:

The second choice is the correct answer. d/8=4

Step-by-step explanation:

if something is a quotient it means it is the solution of a division problem. So we know it cant be the first. the last one doesn't make sense because it says that 8 and a number d equals 4 so it cant be that 8*4=d. that also goes for the third problem because it has to equal 4 and that equals d not 4.

To find this out we see that because it is the quotient of a number and 8 is 4, that means that we have to have a number divided by 8, the only one with that is the second one.

Answer:

Think it 89mm

Step-by-step explanation:

Answer: the correct answer would be B

Step-by-step explanation:

The increase is by 11 dollars an hour so b is your answer.

Answer:

189.77777867

Step-by-step explanation:

10/.111111111+10x10+.111111111-3(.111111111)

189.77777867

I know this was just for points but...

Hope this kind of helped if you actually needed the question answered and have a fantastic day C:

The answer is D. 6.5

Answer:

A = $3136.86

Step-by-step explanation:

Given the following data;

Principal = $2700

Interest rate = 3% = 3/100 = 0.03

Number of times = 52

Time = 5 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2700(1 + \frac{0.03}{52})^{52*5}[/tex]

[tex] A = 2700(1 + 0.0005769)^{260}[/tex]

[tex] A = 2700(1.0005769)^{260}[/tex]

[tex] A = 2700(1.1618)[/tex]

A = $3136.86

Answer:

34 degrees

Step-by-step explanation:

The equation that represents this situation is

2t - 7 = 61

to solve, start by adding 7 to both sides

2t = 68

then divide both sides by 2

t = 34

Answer:

I got 17.99 inches

Answer:

18 ft (it's correct)

Step-by-step explanation:

formula for volume: volume = [tex]\pi r^2h[/tex]

plug in the values that they give you

5,652 = [tex]\pi 10^2h[/tex]

simplify

5,652 = 100pi h

solve for h

[tex]\frac{5652}{100\pi } = h[/tex]

h = 18 (rounded)

Answer:

idontknow

Step-by-step explanation:

Answer:

9514 1404 393

Answer:

  10π meters

Step-by-step explanation:

The circumference of the island is given by the formula ...

   C =  πd

where d represents the diameter of the circle.

Halfway around is half the circumference, so the distance the penguin swam is ...

  1/2C = (1/2)π(20 m) = 10π m

The penguin swam 10π meters.

Answer:

10pi

Step-by-step explanation:

The circumference of the island is given by the formula ...

  C =  πd

where d represents the diameter of the circle.

Halfway around is half the circumference, so the distance the penguin swam is ...

 1/2C = (1/2)π(20 m) = 10π m

Answer:

the nearest thousand is 15 000.00

Answer:

13.16

Step-by-step explanation:

formula= (absin∅)/2

= (4×9×sin47)/2

= 13.16

Answer:

5500 ml or 5.5 liters

Step-by-step explanation:

First, we should note that there are 1000 milliliters in 1 liter of liquid.

So, in milliliters, Peter filled three containers with 1500 ml, 750ml, and 2250 ml with 1000ml left over.

To find the total amount, we find the sum of all the milliliters:

1500 + 750 + 2250 + 1000 = 5500 ml

Again, we know that there are 1000 milliliters in 1 liter of liquid, so:

[tex]\frac{5500}{1000}[/tex] = 5.5 liters

Answer: 6$

Step-by-step explanation: 5 divided by 10 = 2$ so 3 x 2 = 6

I do not hold responsibility if you get it wrong :(

Answer:

Part B

How does this change in setting affect Miguel? Choose two answers.

A.

Miguel asks his mom if he can transfer to a different middle school.

B.

Miguel becomes a more focused student.

C.

Miguel begins to struggle in his Language Arts class as well.

D.

Miguel makes a new friend.

Step-by-step explanation:

Answer:

there are 5 halves in 2 1/2

Answer:

5

Step-by-step explanation:

1/2 +1/2 = 1