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12345 [234]
3 years ago
8

Determine whether the ordered pair is a solution of the equation. Show your work to receive credit.

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

Answer:

3=3 + 10

3 = 13(NO)

x-4y=15

7--8=15

15=15(YES)

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Find the standard form of the complex number 6(cos(30degree) +i sin (30 degree))
Marat540 [252]

Answer:

= 3√3 + 3i

Step-by-step explanation:

Cos 30° = √3/2

Sin 30°  = 1/2

Therefore;

z = 6 (cos 30° + i6 sin 30°)

  = 6 (√3/2) + i 6 (1/2)

   = 3√3 + 3i

6 0
3 years ago
Evaluate.<br> 18.65 -52/11=
professor190 [17]
The answer is about 13.9927.

You would divide 52/11 and then subtract that decimal by 18.65.

18.65-4.7272=13.9927.
6 0
4 years ago
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee ca
miss Akunina [59]

Answer:

Step-by-step explanation:

Given that a certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office.

The company can assign I employee to any one of 2 office i.e. in 2 ways

Similarly can assign II employee also in 2 ways and III in two ways.

Total no of ways = 2x2x2 = 8

There are 8 ways the company can assign 3 employees to 2 different offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office

6 0
3 years ago
Theo containers designed to hold water are side by side, both in the shape of a
OlgaM077 [116]

The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.

We have given that the shape of a

cylinder Container A has a diameter of 30 feet and a height of 18 feet.

diameter =30 feet and height =18 feet

Therefore

radius=\frac{d}{2} \\\\radius=\frac{30}{2} \ \\\\radius=15

What is the formula for volume of cylinder ?

volume =\pi r^2h

For cylinder A,

volume =\pi r^2h

volume =\pi (15)^218\\ \\V=12723.45 ft^{3}

Similarly for cylinder B,

h=19

radius

\frac{26}{2} =13feet

volume of cylinder B

volume =\pi r^2h\\\\volume =\pi (13)^2(19)\\\\volume =10087.65 feet^3

After pumping all of Cylinder  A into Cylinder B there will remain empty space in B

12723.45-10087.65=2635.8 feet^3

The percentage this empty space is,

of the entire volume is

\frac{2635.8}{10087.65} =0.261289

which is 26.12 %  when rounded to the nearest tenth.  

Therefore,

The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.

To learn more about the volume of cylinder visit:

brainly.com/question/9554871

.

8 0
3 years ago
Historians and researchers primarily base their research on:
Valentin [98]

Answer:

C.

Primary sources

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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