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Amiraneli [1.4K]
4 years ago
15

Write (picture included) as a complex number in standard form.

Mathematics
1 answer:
vredina [299]4 years ago
6 0

Answer:

-9/4 -4i

Step-by-step explanation:

-3i + 3/4 + 2i -(3+ 3i)

The first step is to simplify the terms

-3i + 3/4 + 2i -(3+ 3i)

Now we distribute the negative sign

-3i + 3/4 + 2i -3- 3i

Now combine like terms

3/4 -3 -3i+2i -3i

-2 1/4 -4i

Change the mixed number to an improper fraction.

-(4*2+1)/4 -4i

-9/4 -4i

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Can somebody help me answer these plz?
Snezhnost [94]

number 2 would be  43

number 3 would be  40

5 0
4 years ago
Original price: $70; Markup: 15%. What is theretail price?
ziro4ka [17]

Answer:

80.50

Step-by-step explanation:

profit=$10.50

i would like a brailiest if you dont mind

5 0
3 years ago
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Which measurements are equal to 671 decimeters? Check all that apply.
iren [92.7K]

Answer:

Answer:

Option A , D and E are correct.

67100 millimeters, 6.71 decameters and 6,710 centimeters measurements are equal to 671 decimeters

Step-by-step explanation:

Use conversion:

1 millimeters = 0.01 decimeter

1 kilometer = 10000 decimeter

1 hectometers = 1000 decimeter.

1 decameter = 100 decimeters

1 centimeters = 0.1 decimeter

As per the statement:

We have to find which measurements are equal to 671 decimeters.

A.

67100 millimeters

Using conversion:

1 millimeters = 0.01 decimeter

then;

67100 millimeters = 671 decimeter.

B.

0.671 kilometers

Using conversion:

1 kilometer = 10000 decimeter

then;

0.671 kilometers = 6710 decimeter.

C.

67.1 hectometers

1 hectometers = 1000 decimeter.

then;

67.1 hectometers = 67100 decimeters.

D.

6.71 decameters

1 decameter = 100 decimeters

then;

6.71 decameters = 671 decimeters

E.

6,710 centimeters

1 centimeters = 0.1 decimeter

then;

6710 centimeters = 671 decimeters.

Step-by-step explanation:

Answer:

Option A , D and E are correct.

67100 millimeters, 6.71 decameters and 6,710 centimeters measurements are equal to 671 decimeters

Step-by-step explanation:

Use conversion:

1 millimeters = 0.01 decimeter

1 kilometer = 10000 decimeter

1 hectometers = 1000 decimeter.

1 decameter = 100 decimeters

1 centimeters = 0.1 decimeter

As per the statement:

We have to find which measurements are equal to 671 decimeters.

A.

67100 millimeters

Using conversion:

1 millimeters = 0.01 decimeter

then;

67100 millimeters = 671 decimeter.

B.

0.671 kilometers

Using conversion:

1 kilometer = 10000 decimeter

then;

0.671 kilometers = 6710 decimeter.

C.

67.1 hectometers

1 hectometers = 1000 decimeter.

then;

67.1 hectometers = 67100 decimeters.

D.

6.71 decameters

1 decameter = 100 decimeters

then;

6.71 decameters = 671 decimeters

E.

6,710 centimeters

1 centimeters = 0.1 decimeter

then;

6710 centimeters = 671 decimeters.

7 0
3 years ago
Based on the diagram below, which expression can be used to determine the distance between Seattle, WA, and San Francisco, CA?
LuckyWell [14K]

We have been given diagram of a triangle. We are asked to write an expression that represents the distance between Seattle and San Francisco.

We will use law of cosines to solve our given problem.

c^2=a^2+b^2-2ab\text{cos}(C), where a, b and c are sides corresponding to angle A, B and C.

Let the distance between Seattle and San Francisco be 'c' and C=21.4.

Using law of sines, we can set an equation as:

c^2=1737^2+1858^2-2(1737)(1858)\text{cos}(21.4)

Upon taking square root in both sides, we will get:

c=\sqrt{1737^2+1858^2-2(1737)(1858)\text{cos}(21.4)}

Therefore, we can use the expression \sqrt{1737^2+1858^2-2(1737)(1858)\text{cos}(21.4)} can be used to find distance between Seattle, WA, and San Francisco, CA.

8 0
3 years ago
Read 2 more answers
The bill at a restaurant is $60. The tip is 18% and tax is 7%. How much is the total bill?
Dmitry_Shevchenko [17]
Well, you would multiply the tip by the original bill, which is 10.80 and then add that to the bill which is going to be $70.80.
Next for the the tax you would multiply 7 by 60, which is $4.20 in tax
Lastly you just add the tax and the tip to the bill which equals.
$75.00
8 0
3 years ago
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