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3 years ago

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.

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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