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3 years ago

The area with a circle of a radius of 24

Mathematics

2 answers:

inessss [21]3 years ago

3 0

A= pi • r•r =
A = pi • 10• 10

a_sh-v [17]3 years ago

3 0

(24 •24) •3.14 ( which is pi)= 1,808.664

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Write the complex number in the form a + bi. 6(cos 330° + i sin 330°) -3square root of three - 3i -3square root of three + 3i 3s

torisob [31]

Answer:

The complex number in rectangular form is $z = 3\sqrt{3}-i\,3$ .

Step-by-step explanation:

Let be a complex number in polar form, that is: $z = r\cdot (\cos \theta + i\,\sin \theta)$ . The equivalent expression in rectangular form is defined by $z = a+i\,b$ , where:

$a = r\cdot \cos \theta$ (1)

$b = r\cdot \sin \theta$ (2)

Where:

$r$ - Magnitude.

$\theta$ - Direction, measured in sexagesimal degrees.

If we know that $r = 6$ and $\theta = 330^{\circ}$ , then complex number in rectangular form is:

$a = 6\cdot \cos 330^{\circ}$

$a = 3\sqrt{3}$

$b = 6\cdot \sin 330^{\circ}$

$b = -3$

The complex number in rectangular form is $z = 3\sqrt{3}-i\,3$ .

3 0

3 years ago

Malachy was thinking of a number. Malachy doubles it and gets an answer of 91.6. What was the original number?

zubka84 [21]

Answer:

45.8

Step-by-step explanation:

Say the number Malachy was thinking of is <em>x</em>.

Doubling it gives 2x, which we see also equals 91.6. Set these equal to each other:

2x = 91.6

To solve, we divide both sides by 2 and get x = 45.8, which is our answer.

5 0

3 years ago

Read 2 more answers

Fill in the missing values to make the equations true.

azamat

Step-by-step explanation:

Some of the property of log are as follows :

1. $\text{log a}-\text{log b}=\text{log} \dfrac{\text{a}}{\text{b}}$

2. $\text{log a}+\text{log b}=\text{log}(a{\cdot} b)$

3. $\text{log}a^n=n\ \text{log} a$

Now coming to question,

(a) $\text{log 5}-\text{log 8}=\text{log} \dfrac{\text{5}}{\text{8}}$ (using property 1)

(b) $\text{log 1}+\text{log 3}=\text{log}(1{\cdot} 3)=\text{log} 3$ (using property 2)

Hence, this is the required solution.

5 0

3 years ago

Does this really works

Jet001 [13]

Really works what..................................

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3 years ago

The ratio of the length of a rectangular field to its width is 4:3. If the length of the field is 100 meters, what is the perime

irina [24]

Answer:

350

Step-by-step explanation:

divide 100/4= 25

25*3=75 so width = 75 meters

perimeter= 2(l+w)

perimeter= 2(100+75)

perimeter= 2(175)

perimeter= 350

6 0

3 years ago