Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 15.2 meters and the length of F E is 9 me
1 answer:
You might be interested in
Answer:
Part a) The average speed is
Part b) The linear equation that represent the situation is
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x ----> the time in hours
y ---> the distance biked in miles
we have the points
(0,0) and (4.5,63)
This problem represent a proportional relationship because is a line that passes through the origin
Find the constant of proportionality k
For the point (4.5,63)
The constant of proportionality or slope represent the average biking speed in miles per hour
so
The equation is equal to
Answer and Step-by-step explanation:
You are correct in that we need to use the Law of Sines: .
Here, when we use the Law of Sines, we have: .
Cross multiply:
(sinB) * 28 = (sin63) * 29
28sinB ≈ 25.839
sinB ≈ 0.9228
Now, in order to solve for B, we need to use inverse sin ():
The sines on the left cancel out, and we're left with:
B ≈ 67.3 degrees
Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:
180 - 67.3 = 112.7 degrees.
Hope this helps!