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marin [14]
3 years ago
15

Plot the complex number 5i and find its absolute value

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0
Check the picture below.

\bf 5i\implies \stackrel{a}{0}~~\stackrel{b}{+5}i\implies \stackrel{\stackrel{absolute~value}{modulus}}{r=\sqrt{a^2+b^2}}\implies r=\sqrt{0^2+5^2}\implies r=5

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The length of a table is 8 times longer then it’s width. If the perimeter is 72, how wide is the table?
Andrews [41]

Answer:

4 units wide

Step-by-step explanation:

Let the width of the table be 'w'

Given:

Perimeter of the table is, P=72

The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.

Length of the table is 8 times longer than its width. Therefore,

Length,L=8w

Now, perimeter is given as:

P=2L +2w\\P=2(8w)+2w\\P=16w+2w\\P=18w\\w=\frac{P}{18}

Now, plug in 72 for 'P' and solve for 'w'. This gives,

w=\frac{P}{18}\\\\w=\frac{72}{18}\\\\w=4

So, the table is 4 units wide.

6 0
4 years ago
An ice cream shop uses 4 pints of ice cream to make 6 sundaes how many pints of ice cream are used for each sundae
dsp73
0.666• To get the answer you divided 4 by 6.

4÷6=0.6666
3 0
3 years ago
What property is (3x+7)+(2x+8)=3x+7+2x+8
Alex_Xolod [135]

Answer:

distributive property

Step-by-step explanation:

(3x + 7) + (2x + 8)

each of the parenthesis has a multiplier of 1 , placed outside the parenthesis.

then multiplying the terms inside the parenthesis by 1 gives

3x + 7 + 2x + 8

4 0
1 year ago
The total surface area of this cuboid is 112cm squared find the value of x
Liono4ka [1.6K]

Answer:

The height of cuboid is 3 cm

Step-by-step explanation:

Total surface area of cuboid  = 2lb+2bh+2hl

Length of cuboid = 10 cm

Width of cuboid = 2 cm

Let the height be x

Total surface area of cuboid  = 2(10)(2)+2(2)(x)+2(x)(10)

Total surface area of this cuboid is 112 cm squared

 2(10)(2)+2(2)(x)+2(x)(10)=112

40+4x+20x=112

40+24x=112

24x=112-40

24x=72

x=\frac{72}{24}

x=3

Hence the height of cuboid is 3 cm

5 0
3 years ago
How do I do this in Standard form
jasenka [17]
The equation is already in Standard Form.

A_{x}  + B_{y} = C
5 0
3 years ago
Read 2 more answers
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