Is 4+9i a complex number

Answers

Answer 1

Answer: 4+9 $√(-1)$

Answer 2

Answer: Yes it is, A complex number is a number expressed as a +bi

Related Questions

How do you solve this problem?
22.88 what is the number rounded to the nearest tenth
The lines 2x-y=8 and 4x -2y=16 intersect at???
Substiution method: y + 9 = 1/5x and45 - 3y = -15x Please show work thank you very much.
Terrance is planning to make an online purchase. He is buying a tie for $13.42, a shirt for $25.76, and a pair of pants for $19.80. What will be his total before tax?A.$57.98B.$47.98C.$41.16D.$58.98

without looking not picking a red hat from a box that holds 20 red hats, 30 blue hats, 15 green hats, and 25 white hats

Answers

there are 90 hats all together. from just red the fraction is 20/90. 20 divide by 90 = .22
there is a 22% chance.

Answer:

the box

Step-by-step explanation:

A patio in the shape of a semicircle has a diameter of 21 ft. What is the approximate area of the patio, rounded to the nearest square foot? Use 3.14 to approximate pi star times pi.

Answers

The formula of the area of a semi circle is half the area of the circle

$( \pi r^2)/(2)$

Diameter = 21 ft
Radius = $(d)/(2)$ = $(21)/(2)$ = 10.5 ft

Area = $( \pi (10.5)^2)/(2)$
= $(110.25 \pi )/(2)$
= $(110.25 * 3.14)/(2)$ (3.14 as $\pi$ )
= $(346.185)/(2)$
=173.0925 ft² ≈ 173.1 ft² ≈ 173 ft²
To the nearest square foot : 173 ft²

Identify the percent of change as an increase or a decrease. Then find the percent of change. 72 paper clips to 63 paper clips

Answers

72-63
_____
72

9
____
72

9 divided by 72 is 0.125, into a percent is 12.5% decrease.

What is 5/12 minus 3/20

Answers

$(5)/(12) - (3)/(20)$

First, find the LCD of the two fractions.
Multiples of 12: 12, 24, 36, 48, 60.
Multiples of 20: 20, 40, 60
The LCD is 60.
Second, change the denominators to be the same as the LCD.
$(5x5)/(12x5) - (3x3)/(20x3)$
Third, 5 × 5 = 25 / 12 × 5 = 60 / 3 × 3 = 9 / 20 × 3 = 60
$(25)/(60) - (9)/(60)$
Fourth, combine the denominators.
$(25-9)/(60)$
Fifth, subtract 25 - 9 to get 16.
$(16)/(60)$
Sixth, find the GCF of 16 and 60.
The GCF is 4.
Seventh, divide the numerator by the GCF.
$16$ ÷ $4 = 4$
Eighth, divide the denominator by the GCF.
$60$ ÷ $4 = 15$
Ninth, rewrite the fraction in simplest form.
$(4)/(15)$

Answer as fraction: $(4)/(15)$
Answer as decimal: 0.2667

Let (-6,-5) be a point on the terminal side of theta Find the exact value of sin theta, csc theta, and cot theta

Answers

Answer:

Part 1) $sin(\theta)=-(5√(61))/(61)$ or $sin(\theta)=-(5)/(√(61))$

Part 2) $csc(\theta)=-(√(61))/(5)$

Part 3) $cot(\theta)=(6)/(5)$

Step-by-step explanation:

we know that

The point (-6,-5) lies on the III Quadrant

sin(theta) is negative

csc(theta) is negative

cot(theta) is positive

Part 1) Find the sine of angle theta

we know that

The function sine is equal to divide the opposite side to the angle theta by the hypotenuse

$sin(\theta)=(y)/(r)$

we have

$x=6\ units,y=5\ units$

Applying the Pythagoras Theorem

$r^(2)=x^(2)+y^(2)$

substitute

$r^(2)=6^(2)+5^(2)$

$r^(2)=61$

$r=√(61)\ units$ -----> the hypotenuse

substitute

$sin(\theta)=(5)/(√(61))$

Simplify

$sin(\theta)=(5√(61))/(61)$

Remember that the sin(theta) is negative

$sin(\theta)=-(5√(61))/(61)$

Part 2) Find the cosecant of angle theta

we know that

The function cosecant is equal to divide the hypotenuse by the opposite side to the angle theta

$csc(\theta)=1/sin(\theta)=(r)/(y)$

we have

$sin(\theta)=-(5)/(√(61))$

$csc(\theta)=-(√(61))/(5)$

Part 3) Find the cotangent of angle theta

we know that

The function cotangent is equal to divide the adjacent side to the angle theta by the opposite side to the angle theta

$cot(\theta)=(x)/(y)$

we have

$x=6\ units,y=5\ units$

substitute

$cot(\theta)=(6)/(5)$

Final answer:

The exact values of sin theta, csc theta, and cot theta for a point (-6, -5) on the terminal side are -5/sqrt(61), sqrt(61)/-5, and 6/5 respectively.

Explanation:

In this problem we have a point (-6, -5) on the terminal side of theta. The x-coordinate corresponds to the cosine of theta and the y-coordinate corresponds to the sin theta.

To answer your question:

sin theta = y/r = (-5)/sqrt((-6)^2+(-5)^2) = -5/sqrt(61)
csc theta = 1/sin(theta) = sqrt(61)/-5
cot theta = cos(theta)/sin(theta) = x/y = -6/-5 = 6/5

Learn more about Trigonometric Values here:

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What is the value of the expression?2/3 - (1/4) x (4/9)

A. - 5/9
B. - 1/6
C. 1/6
D. 5/9

Answers

$= (2)/(3) - (1)/(4) ( (4)/(9) ) \n \n =(2)/(3) - (1)/(9) = \n \n = (5)/(9)$

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