To find the distance between her home and her latest position:
According to the question, the diagram is,
Consider the right triangle,
AB=120 km
BC=50 km
To find AC:
Using Pythagoras theorem,
![\begin{gathered} AC^2=AB^2+BC^2_{} \\ =120^2+50^2 \\ =14400+2500 \\ =16900 \\ =130\text{ km} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20AC%5E2%3DAB%5E2%2BBC%5E2_%7B%7D%20%5C%5C%20%3D120%5E2%2B50%5E2%20%5C%5C%20%3D14400%2B2500%20%5C%5C%20%3D16900%20%5C%5C%20%3D130%5Ctext%7B%20km%7D%20%5Cend%7Bgathered%7D)
Hence, the distance between the new position and her home is 130 km.
I believe the answer is 60 degrees I am a little confused by that question though
The answer is H
Explanation: what I did was change all of the numbers into decimal form so that we can compare them easier, -2 1/2= -2.5, -2.47 stays the same, -2/5 becomes positive .4 because the entire fraction is negative, you can look at it like -2/-5 and a negative divided by a negative is a positive, And then 5 stays a 5, And 21/4 equals 5.25 therefore your answer is H
Oh and by the way if you don’t know how to turn a fraction into a decimal you simply divide the top number by the bottom number for example 1/2 you take 1 and divide it by 2 which gives you .5 or 12/13 = .923076 hope this makes sense and that this helped
Answer:
a/30
Step-by-step explanation:
quotient means divide
a/30 because "a number" was first in the expression