You divide 15 by 2 (D is the answer)
Answer:
Distance= 6.6 miles
Bearing= N 62.854°W
Step-by-step explanation:
Let's determine angle b first
Angle b=20° (alternate angles)
Using cosine rule
Let the distance between the liner and the port be x
X² =8.8²+2.4²-2(8.8)(2.4)cos20
X²= 77.44 + 5.76-(39.69)
X²= 43.51
X= √43.51
X= 6.596
X= 6.6 miles
Let's determine the angles within the triangle using sine rule
2.4/sin b = 6.6/sin20
(2.4*sin20)/6.6= sin b
0.1244 = sin b
7.146= b°
Angle c= 180-20-7.146
Angle c= 152.854°
For the bearing
110+7.146= 117.146
180-117.146= 62.854°
Bearing= N 62.854°W
Answer:
a = 24*1/3
a =8
Step-by-step explanation:
We are using proportions to solve this problem by putting students over adults
students 3 24
--------------- = --------------- = -------------
adults 1 a
where a is the unknown number of adults
Using cross products
3a=24*1
Divide by 3
a = 24*1/3
a = 24/3
a = 8
Answer:
21.5 mm^2
Step-by-step explanation:
First find the area of the square
A = s^2 = 10^2 =100
Then find the area of the circle
d = 10 so r = d/2 = 10/2 =5
A = pi r^2
A = 3.14 (5)^2 =78.5
The difference is the shaded region
100-78.5 =21.5
The coordinates of point P are (-3 , -6)
Step-by-step explanation:
If point (x , y) partitions line AB where A = 
and B = 
at a ratio 
from A then:
1. 
2. 
∵ P partitions AB in the ratio 3 : 4
∴ = 3 : 4
∵ A = (-9 , -9) and B = (5 , -2)
- Substitute the coordinates of points A and B in the rules above
∵ 
∴ 
∴ 
∴ x = -3
The x-coordinate of P is -3
∵ 
∴ 
∴ 
∴ y = -6
The y-coordinate of P is -6
The coordinates of point P are (-3 , -6)
Learn more:
You can learn more about the mid-point of a segment in brainly.com/question/5223123
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