An airplane leaves an airport and flies due west 170 miles and then 240 miles in the direction S 69.50°W. How far is the plane from the airport (round to the nearest mile)?.
Answers
c² = a² + b² - 2 a b cos C
∠ C = 90° + 69.50° = 159.50°
c² = 170² + 240² - 2 · 170 · 240 · cos ( 159.50° )
c² = 28,900 + 57,600 - 81,600 · ( -0.9366722 )
c² = 28,900 + 57,600 + 76,432.45
c = √ 162,932.45
c = 403.64 ≈ 404 miles
Answer:
The plane is 404 miles away from the airport.
Answer:
C=403.6489
Step-by-step explanation:
A= 170, B= 240 angle C= 69.5+90=159.5
C= the distance from the plane to the airport.
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√
94
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Answer:
9.7
Step-by-step explanation:
Answers
Answers
Amount of raise per year given by Company A per year = $3000
Starting salary offered by Company B =$36000
Amount of raise per year given by Company B = $2000
Let us assume the number of years after which the salary offered by Company A will be the same as Company B = x
Then
28000 + 3000x = 36000 + 2000x
3000x - 2000x = 36000 - 28000
1000x = 8000
x = 8000/1000
= 8 years
So from the above deduction we can conclude that after 8 years the salary of Company A and Company B will become equal.
More information's are also provided for the second part of the question.
Starting salary offered by Company C = $18000
Let us assume the amount of raise per year given by Company C = z dollars
Number of years in which the salaries of Company C will become equal to the salaries of Company A and B = 8 years
Then
18000 + 8z = 28000 + (3000 * 8)
18000 + 8z = 28000 + 24000
18000 + 8z = 52000
8z = 52000 - 18000
8z = 34000
z = 34000/8
= 4250 dollars
From the above deduction we can conclude that the raise given by Company C should be $4250.
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Answer:
A is the correct answer
Step-by-step explanation:
i took the test
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Answer:
Point A {√3 /2 ,1 /3}
Point B { 1, 1}
could not be the points on the unit circle.
Step-by-step explanation:
Unit circle :
A circle having a radius of one unit is called the unit circle.
Standard equation of circle given by
x² + y² = r²
r = radius of
∴ x² + y² = 1²
∴ x² + y² = 1
∴
Points are not on the unit circle as on substituting this x and y values
in the above equation we get
Left hand side ≠ Right-hand side
∴
could not be the points on the unit circle.
Answers
Side lengths: RS=7 and ST=7, and angle=90 degrees
Why?
Since second coordinates of R and S are the same so we can just count the length by adding first coordinate of R and first coordinate of S= |-3|+4=7
Since first coordinates of R is the same as first coordinate of T so we can just count the length by adding second coordinates of S and T=5+|-2|=7
Angle: RST is =90 degrees because triangle RST is right angled triangle. Why? Because RS is parallel to X axis(the same second coordinates of R and S) and ST is parallel to Y axis(the same coordinates of S and T) .