All categories

3 years ago

Use a scientific calculator or unit circle to convert the polar form of the complex number to its equivalent rectangular form.

Mathematics

2 answers:

Vika [28.1K]3 years ago

6 0

16+16i squareroot 3 Im positive thats the answer. The other person idk what they did.

GuDViN [60]3 years ago

5 0

I assume 3.14 is meant to represent π. So x=32cos(π/3)=16 and y=32sin(π/3)=16√3=27.7128 approx.
If we take 3.14 directly (radians), then we get x=16.0147 and y=27.7043 approx.

You might be interested in

Find the zeros of the function: f(x) = x^2 - 4x - 21

IrinaK [193]

Answer:

x = 7, x = -3

Step-by-step explanation:

We can find the zeros by factoring the equation using the zero product property.

x^2-4x-21 = 0

(x-7)(x+3) = 0

x-7 = 0

x = 7

x+3 = 0

x = -3

Zeros are x=7 and x= -3.

5 0

3 years ago

Bill and Joe leave their house at the same time heading in opposite directions. If Bill is driving three times faster than Joe a

Arisa [49]

The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.

The total speed is (120 mi)/(3 h) = 40 mi/h.

The speed ratio is ...

... Bill : Joe = 3 : 1

so the speed ratio Bill : Total is ...

... 3 : (3+1) = 3:4.

Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.

4 0

3 years ago

Logan made a treasure map he treasure is 25 cm away from his location if each 1 cm on the scale drawing equals 5 m then how far

Doss [256]

Logan is 125 meters away from the treasure.

Also, this question seems like an elementary school question, not a high school question, so why does it say that you are in high school?

8 0

3 years ago

A rubber ball is dropped from the top of a hole. Exactly 20 seconds later, the sound of the rubber ball hitting bottom is heard.

gayaneshka [121]

9514 1404 393

Answer:

4192.9 ft

Step-by-step explanation:

We assume your falling-distance formula is supposed to be ...

s = 16t²

So, the time required to fall distance s is ...

t = √(s/16) = (1/4)√s

The time required for sound to travel distance s is ...

s = 1100t

t = s/1100

Then the sum of the time for the ball to fall and the time for the sound to travel back is ...

(1/4)√s + s/1100 = 20

275√s = 22000 -s . . . . . multiply by 1100 and subtract s

75625s = s^2 -44000s +484,000,000 . . . square both sides

s^2 -119,625s +484,000,000 = 0 . . . . put in standard form

s ≈ (1/2)(119,625 ±√12,374,140,625) = {4192.943, 115432.057}

Only the smaller of these two solutions makes any sense in this problem.

The hole is about 4192.9 feet deep.

_____

Additional comment

The distance equation for the falling object presumes a vacuum. The sound transmission presumes the presence of air, so the question setup is self-contradictory.

7 0

3 years ago

The local recreation center charges members a registration fee and a separate monthly membership fee. The equation of the functi

Vilka [71]

Complete question :

The local recreation center charges members a registration fee and a separate monthly membership fee. The equation of the function given models the total fee, f(x), in dollars, that a person pays for x months of membership.

f(x)=25x+50

What does the number 25 represent?

A. the initial registration fee

B. the number of months that a person is a member

C. the monthly membership fee

D. the total amount that a member pays in fees

Answer:

C. the monthly membership fee

Step-by-step explanation:

Given the function :

f(x)=25x+50

The function f(x) can be written thus :

Cost = (monthly membership fee * Number of months) + initial registration fee

Comparing the function with the linear equation model:

y = mx + c

50 corresponds to c (intercept) which is the initial registration fee being charged.

m = slope = monthly fee paid

Hence, 25 represents the monthly fee paid

4 0

2 years ago