The distance from balloon to the western station is 495 miles.
Explanation:
The distance between two weather stations are 165 miles.
The angle of the regular triangle bearing from the western station is given by
90° - 40° = 50°
The angle of the regular triangle bearing from the eastern station is given by
90° + 22° = 112°
The angle of the balloon is given by
180° - 50° - 112° = 18°
Now, to find the distance of the balloon from the western station, let us use the law of sines formula,
Let us substitute the values.
Where and
Thus, we have,
Multiplying both sides of the equation by sin 112, we get,
Simplifying, we have,
Thus, the distance from balloon to the western station is 495 miles.
The answer is: " 7 " .
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Explanation:
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degrees of freedom (df) = n - 1 ;
n= sample size =8 ;
n - 1= 8 - 1 =7 .
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The answer is: " 7 " .
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Answer: 56
Step-by-step explanation:
Let the number of $5 be x
Let the number of $2 be y.
Based on the information given, we can form an equation as:
x + y = 128 ........ i
5x + 2y = 424 ....... ii
Multiply equation i by 2
Multiply equation ii by 1
2x + 2y = 256 ...... iii
5x + 2y = 424 ....... iv
Subtract iii from iv
3x = 168
x = 168/3
x = 56.
Therefore, there were 56 $5 bills.
B.(1,3)
C.(4,6)
D.(3,6)
E.(4,2)
F.(5,10
The following points that are on the line given by the equation y=2x are Options (D). (3,6) and (F). (5,10).
A straight line is a line passing through the x-y plane that has equal intercepts with respect to the x axis and the y-axis. The slope of a straight line is always equal. The straight line is also satisfied by the coordinates points in the x and y axis respectively.
To identify the points satisfied by any given equation, we have to replace the points given in the following equation.
Taking first point in option (A) , (16,8) , we have y = 8 and x = 16 which does not satisfy the equation y = 2x .
Taking second point in option (B) , (1,3) , we have y = 3 and x = 1 which does not satisfy the equation y = 2x .
Now from the following options, checking points in Option (D) where x = 3 and y = 6 which satisfies the equation y = 2x .
Also checking the points in Option (F) where x = 5 and y = 10 which satisfies the equation y = 2x .
The following points that are on the line given by the equation y=2x are Option(D). (3,6) and Option(F). (5,10) .
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Answer: it’s (5,10) and (3,6)