Answer:
A)82.02 mi
B) 18.7° SE
Step-by-step explanation:
From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.
A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;
a² = b² + c² - 2bc Cos A
Thus, let the distance between the home port and forrest island be x.
So,
x² = 40² + 65² - 2(40 × 65)cos 100
x² = 1600 + 4225 - (2 × 2600 × -0.1736)
x² = 6727.72
x = √6727.72
x = 82.02 mi
B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;
A/sinA = b/sinB = c/sinC
82.02/sin 100 = 40/sinθ
Cross multiply to get;
sinθ = (40 × sin 100)/82.02
sin θ = 0.4803
θ = sin^(-1) 0.4803
θ = 28.7°
From the diagram we can see that from parallel angles, 10° is part of the total angle θ.
Thus, the bearing from Forrest Island back to his home port is;
28.7 - 10 = 18.7° SE
This equals 365 i know that is not what you ask but this is what i know
Answer: 0.046
Step-by-step explanation:
From the question,
orange jelly beans= 7
Cherry jelly beans =9
Lemon jelly beans = 3
Licorice jelly beans = 15
Blueberry jelly beans = 6
Total jelly beans = 40
The probability of choosing the first cherry jelly beans will be = 9/40
After the first one is chosen, there'll be 8 cherry jelly beans and total of 39 left. The probability of choosing the second one will be = 8/39
The probability of choosing two cherry jelly beans in a row will be:
= 9/40 × 8/39
= 72/1560
= 0.046
Answer:
Therefore 12.5 centimeters on the map represents an actual distance of 5 kilometers.
Step-by-step explanation:
Given:
The scale map shows that
5 centimeters =2 kilometers.
To Find:
What number of centimeters on the map represents an actual distance of 5 kilometers?
Solution:
Let 'x' cm be on the map to represent 5 kilometer.
Given:
5 centimeters = 2 kilometers.
Therefore,
x cm = 5 kilometer
Soon Equality of proportion we get
Therefore 12.5 centimeters on the map represents an actual distance of 5 kilometers.
Answer:
4300
Step-by-step explanation:
i think this is what you want
