11. (D) 70°, 12. (A) 45°, 13. (A) 45°, 14. (B) 180°, 15. (C) 65°, 16. (D) 135°, 17. (A) 115°, 18. (D) 315°
Step-by-step explanation:
From the given diagram,
For, 11. DC
The angle for DC measured in diagram is 70°.
For, 12. AB
The angle for AB is measured in diagram is 45°.
For, 13. ED
The angle for ED is measured in diagram is 45°.
For, 14. ABD
The angle for ABD (AB+BD) is measured in diagram is 180°.
For, 15. BC
The angle for BC is measured in diagram is 65°.
For, 16. BD
The angle for BD is measured in diagram is 135°.
For, 17. CED
The angle for CED (CD + DE) is measured in diagram is 115°.
For, 18. ADB
The angle for ADB (AD+DB) is measured in diagram is 315°.
Answer: speed of plane is 69/miles per hour
Speed of wind is 23 miles per hour
Step-by-step explanation:
Let x represent the speed of the plane.
Let y represent the speed of the wind.
A plane traveled 1012 miles each way to Warsaw and back. The trip there was with wind. It took 11 hours.
This means that the speed is x+y miles/hour. Therefore
1012 = 11(x+y)
1012 = 11x + 11y - - - - - - - - 1
The trip back was into wind. The trip back took 22 hours.
Since it flew against the wind, the speed would be x-y km/hour
Distance = speed × time. Therefore
1012 = 22(x - y )
1012 = 22x - 22y
Dividing through by 2
506 = 11x - 11y- - - - - - - - - 2
Adding equation 1 and equation 2, it becomes
1518 = 22x
x = 1518/22 = 69
Substituting x = 69 into
1012 = 22(x - y )
x - y = 1012/622= 46
y = 69 - 46 = 23
Answer:
R = -0.90 (2 decimal places)
Step-by-step explanation:
Given the data :
Speed (Miles per Hour) :
30
50
40
55
30
25
60
25
50
55
Miles per Gallon :
29
26
26
22
29
31
21
35
25
26
The correlation Coefficient, R shows the degree or level of relationship between the dependent and independent variable. A positive R value denotes a positive correlation while a negative R value denotes a negative relationship. R values should range between - 1 to +1 with values close to 1 and - 1 depicting strength while value of zero means no relationship exist.
Hence, R value of -0.90 depicts a strong negative relationship. Hence, higher speed are related to lower miles per gallon and vice versa.
