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Lena [83]
3 years ago
5

Simplify 6c + 4d -c +7d

Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0
So let’s sort out the c:

So 6c - c = 5c

Then let’s sort out the d:

4d + 7d = 11d

So the equation simplified is :

5c + 11d
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A rectangle has a length of x+2, a width of 7, and a perimeter of 32. The value of x is ?
beks73 [17]
Perimeter = sum of all sides

32 = 2(x+2) + 2(7)
32 = 2x+4 + 14
32 = 2x+18
14 = 2x
 /2     /2

7 = x
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3 years ago
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Hillside Travel pays its employees $16 per hour plus 8% commission on all trips booked. Tyrus worked 20 hours last week and book
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Answer:

$488

Step-by-step explanation:

16×20=320

8%×2100

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168

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Write the complex number in the form a + bi.<br> 3(cos 60° + i sin 60°)
hram777 [196]

Answer:

The complex number in the form of a + b i is 3/2 + i √3/2

Step-by-step explanation:

* Lets revise the complex number in Cartesian form and polar form

- The complex number in the Cartesian form is a + bi

-The complex number in the polar form is r(cosФ + i sinФ)

* Lets revise how we can find one from the other

- r² = a² + b²

- tanФ = b/a

* Now lets solve the problem

∵ z = 3(cos 60° + i sin 60°)

∴ r = 3 and Ф = 60°

∵ cos 60° = 1/2

∵ sin 60 = √3/2

- Substitute these values in z

∴ z = 3(1/2 + i √3/2) ⇒ open the bracket

∴ z = 3/2 + i √3/2

* The complex number in the form of a + b i is 3/2 + i √3/2

6 0
3 years ago
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A cube has edges that are 3 inches in length. How many of these cubes will it take to completely fill a larger cube that has an
lorasvet [3.4K]

64

Step-by-step explanation:

We will divide the volume of the larger cube with that if the smaller cube. However, we’ll first have to convert them to the same SI units;

12 inches  = 1 foot

Therefore the volume of the larger cube;

12 * 12 * 12 = 1728 inches cubed

The volume of the smaller cube;

3 * 3 * 3 = 27 inches cubed

Divide the two;

1728/27

= 64

Learn More:

brainly.com/question/12012162

brainly.com/question/3531012

brainly.com/question/479684

#LearnWithBrainly

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