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Angelina_Jolie [31]
3 years ago
8

What is equivalent to 7/8 and don't write 14/16

Mathematics
1 answer:
Margaret [11]3 years ago
6 0

7/8 is equivalent to 56/64

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Given z1 = startroot 2 endroot (cosine (startfraction 3 pi over 4 endfraction) i sine (startfraction 3 pi over 4 endfraction) )
vampirchik [111]

The subtraction of complex numbers z_{1} -z_{2} is cos(π)+i sin(π).

Given z_{1} =\sqrt{2}[cos(3π/4+i sin(3π/4) and z_{2}=cos (π/2) +i sin(π/2)

We have to find the value of z_{1} -z_{2}.

A complex number is a number that includes real number as well as a imaginary unit in which i^{2} =1. It looks like a+ bi.

We have to first solve z_{1} and z_{2} and then we will be able to find the difference.

z_{1} =\sqrt{2}[ cos (3π/4)+i sin (3π/4)]

=\sqrt{2}[cos(π-π/4)+ i sin (π-π/4)]

=\sqrt{2} [-cos(π/4)+sin (π/4)]

=\sqrt{2}(-1/\sqrt{2}+1/\sqrt{2})

=\sqrt{2} *0

=0

z_{2} =cos(π/2)+i sin (π/2)

=0+i*1

=1

Now putting the values of z_{1}  and z_{2},

z_{1} -z_{2} =0-1

=-1

=-1+i*0

=cos (π)+i sin(π)

Hence the value of difference between z_{1} and z_{2} is cos(π)+i sin(π).

Learn more about complex numbers at brainly.com/question/10662770

#SPJ4

3 0
2 years ago
Solve the system of linear equations.<br><br> −x+2y=7<br> x−2y=7
ivolga24 [154]
The answer is no solution.
hope that helps!
6 0
2 years ago
Read 2 more answers
What is 24.79 x 4,022 pls
lozanna [386]

Answer:

24.79 \times 4022 \\  = 99705.38

6 0
2 years ago
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Determine the surface area of each triangular prism. Round to the nearest tenth if necessary.
slamgirl [31]

Answer:

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

Step-by-step explanation:

In each case, you can use the given formula to find the surface area. The area of the triangular base (B) is ...

  A = 1/2bh

where b is the base of the triangle, and h is the height of the triangle perpendicular to that base.

You will notice that B is multiplied by 2 in the area formula, because there is a triangular base at either end of the prism. That means we can save some work by not multiplying by 1/2, and then by 2.

__

For figures 1, 3, 4, the triangle is a right triangle, so the base and height make up two of the three sides of it. The perimeter is finished by adding the length of the hypotenuse. That sum is then multiplied by the "height" of the prism (distance between bases) to find the lateral area as part of the area formula (Ph).

In figure 3, the triangle is equilateral, so the perimeter is not the sum of the base and height and a third side. In the attached spreadsheet, we have used a value "rest of perimeter" to make the sum be the right value for use in computing the value of Ph. For figure 3, that is 6+6-5.2=6.8. Then the sum 6 +5.2 +6.8 is 18, the proper perimeter for that figure.

__

The idea here is to let a spreadsheet do the tedious work of applying the same formula to different sets of numbers. The areas are ...

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

__

By way of example, we can "show work" for problem 1:

1. S = Ph +2B

  S = (4 +3 +5)(8) +2(1/2)(4)(3) = 12(8) +12 = 96 +12 = 108 . . . cm^2

4 0
2 years ago
Read 2 more answers
HELP WITH THIS NOWW PLEASEEE
vichka [17]
The surface area of the cylinder is 301.44
3 0
2 years ago
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