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grin007 [14]
3 years ago
5

Perform the division and leave the result in trigonometric form.

Mathematics
1 answer:
Anettt [7]3 years ago
8 0

Answer:

\frac{1}{2} ( cos40° + isin40°)

Step-by-step explanation:

To divide

\frac{r_{1(cosx_{1}+isinx_{1})  } }{r_{2}(cosx_{2}+isinx_{2})   }

= \frac{r_{1} }{r_{2} } [ cos(x₁ - x₂) + isin(x₁ - x₂)

Given

\frac{2(cos90+isin90}{4(cos50+isin50)}

= \frac{2}{4} ( cos(90 - 50)° + isin(90 - 50)°

= \frac{1}{2} ( cos40° + isin40° )

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The Frill family and the Smith family go to the movies.
Sati [7]

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

6a + 2c = 124

as equation 1,

and

3a + 5c = 100

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

(6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) =  - 76 \\  - 8c =  - 76 \\ c =  - 76 \div  - 8 \\  = 9.5

Now substitute c into equation 2.

3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\  = 17.5

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

7 0
3 years ago
A biker rode 45 miles in 180 minutes. At what speed (in miles per hour) was the biker travelling? A. 4 B. 17 C. 9 D. 12
Anastasy [175]

Answer:

v = 15 miles / hour

Step-by-step explanation:

Given:

Distance covered by biker = s=45 miles

time taken by him = t=180 minutes

TO Find:

speed in miles per hour = v = ?

Solution:

As it is given that the distance covered is 45 miles

and time taken by him is 180 minutes

as one hour have 60 minutes

so time taken by rider = t = 180 /60

                                          = 3 hours

this step is done because we have to find speed in miles per hour

Now

The formula for finding the distance is

distance = speed * time

or

s = v * t

we have to find v

so dividing both sides by t

\frac{s}{t} = \frac{v*t}{t}

it becomes

v = \frac{s}{t}

Putting the values

v = \frac{45}{3}

solving it gives

v = 15 miles / hour

which is the required speed

in the given options it is not available


5 0
3 years ago
PLS HELP WITH THIS MATH
laiz [17]
I think it’s 28.35

54/100 x 5 = 2.7
54 + 2.7 = 56.7
56.7/100 x 50 = 28.35
56.7 -28.35 = 28.35
6 0
3 years ago
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GrogVix [38]
It would probably be 10 or 15
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Aleks [24]
Hello,

Answer D

(x+1)²+(y-2)²=9
8 0
3 years ago
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