Directions: Read each problem, then solve for the missing part(s).
1 answer:
I have attached an image showing the triangle with angle and distance depicted in the question.
Answer:
151 miles
Step-by-step explanation:
We have to first find the unknown angle in the triangle.
Sum of angles in a triangle is 180°.
Thus, if we call angle at Norfolk A, we have;
A = 180 - (83 + 31)
A = 66°
Using sine rule, we can find the distance which we will term as a.
Thus;
a/sin 83 = 139/sin 66
a = (139 × sin 83)/sin 66
a = 137.963915/0.913545
a ≈ 151 miles
You might be interested in
Answer:
The system of equation is and
.
There are 16 men who are attended the meeting.
Step-by-step explanation:
Given,
Total number of teachers = 53
Solution,
Let the total number of women teachers be 'w'.
And also let the total number of men teachers be 'm'.
So, total number of teachers is the sum of total number of women teachers and total number of men teachers.
This can be framed in equation form as;
The system of equation is .
Now according to question,
The number of women attending was 5 more than twice the number of men attending the meeting.
So this can be framed in equation form as;
Now we insert the value of w from equation 2 in equation 1, we get;
Now we solve for 'w';
Hence there are 16 men who attended the meeting.
And also there are 37 women who attended the meeting.