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xeze [42]
3 years ago
5

An observer for a radar station is located at the origin of a coordinate system. Find the bearing of an airplane located at the

point ​(4​,negative 4​).Express the bearing using both methods. single angle measure & direction from a north-south line)

Mathematics
1 answer:
AfilCa [17]3 years ago
6 0

Answer:

135 degrees

S45^{0}E

Step-by-step explanation

Consider the attached diagram

we are required to find the bearing of the aeroplane,

Consider the right angled triangle BOE

|OB|=4 unit

|AB|=4 Units

Tan \alpha =\frac{Opposite}{Adjacent} =\frac{4}{4} \\\\\alpha=Tan^{-1} 1=45 degrees

The Bearing of the Aeroplane is therefore given:

(i)From North Clockwise as: 90+45 =135 degrees

(ii)From a North South Line as S45^{0}E

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2.9802322e+17

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2 years ago
5. 3x + 5y + 5z =1<br> x - 2y = 5<br> 2x + 4y = 11
lilavasa [31]

Answer:

see explanation

Step-by-step explanation:

Given the 3 equations

3x + 5y + 5z = 1 → (1)

x - 2y = 5 → (2)

2x + 4y = 11 → (3)

Use (2) and (3) to solve for x and y

Multiply (2) by 2

2x - 4y = 10 → (4)

Add (3) and (4) term by term

4x = 21 ( divide both sides by 4 )

x = \frac{21}{4\\}

Substitute this value of x into (3)

2 × \frac{21}{4\\} + 4y = 11

\frac{21}{2\\} + 4y = 11 ( subtract \frac{21}{2\\} from both sides )

4y = \frac{1}{2} ( divide both sides by 4 )

y = \frac{1}{8\\}

Substitute the values of x and y into (1) and solve for z

3 × \frac{21}{4\\} + 5 × \frac{1}{8\\} + 5z = 1

\frac{63}{4} + \frac{5}{8} + 5z = 1

\frac{131}{8} + 5z = 1 ( subtract \frac{131}{8} from both sides )

5z = - \frac{123}{8} ( divide both sides by 5 )

z = - \frac{123}{40}

Solution is

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3 0
3 years ago
Solve for t <br><br> 2t^2-14t+3=3
Dvinal [7]

Answer:

t=7,t=0

Step-by-step explanation:

2t^2-14t+3=3

Subtract 3 from both sides

2t^2 - 14t +3 - 3 = 3-3

Simpilfy

2t^2 -14t = 0

7 0
3 years ago
Callie evaluated the expression 0.42 times 4.73 using the steps shown below. 0.42 times 4.73 = 1.26. 1.26 + 29.40 + 168.00 = 198
Andrej [43]

Answer:

The correct option is;

Callie multiplied incorrectly

Step-by-step explanation:

Here we have 0.42 × 4.73 = 1.9866 then

1.9866 + 29.4 + 168 = 199.3866

Therefore, from the question, we had 0.42 × 4.73 = 1.26 which is incorrect, meaning that Callie multiplied incorrectly

Apparently, Callie multiplied as follows;

0.42 × 3 = 1.26 but what was in the question was

0.42 × 4.73 which is equal to 1.9866.

4 0
3 years ago
Read 2 more answers
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