Answer:
85.44 miles apart
Step-by-step explanation:
According to the question;
- The airplane flew 80 miles west and 30 miles north
We are supposed to determine how far apart are the airports.
- The shortest distance will be the displacement from the initial point.
- We are going to use the Pythagoras theorem;
- a² + b² = c² , where a and b are the legs of a right angled triangle and c is the hypotenuse.
- Therefore, in this case; our legs will be 30 miles and 80 miles, so we need to determine the hypotenuse;
That is;
c² = 80² + 30²
= 6400 + 900
= 7300
c = √7300
= 85.44
Thus, the airports are 85.44 miles apart
Answer:
the first set of values is correct
Step-by-step explanation:
when x =0,
y = 3(0) -1
y=-1
when x =1,
y=3(1)-1
y=2
when x=2,
y=3(2)-1
y=5
Answer:
30 and 20 respectively
Step-by-step explanation:
Let the number of sofas to be built be s and the number of recliners be r.
For the time part, we have the following equation:
8s + 6r = 340
For the money part:
180s + 105r = 6750
Now let’s solve these equations simultaneously.
Let’s change the form of the second equation:
180s + 17.5(6r) = 6750
From the first equation, 6r = 340 - 8s
Insert this into the third equation
180s + 17.5(340-8s) = 6750
180s + 5950 - 140s = 6750
40s = 6750 - 5950
40s = 800
s = 20
Substitute the value into the first equation
8(20) + 6r = 340
6r + 160 = 340
6r = 180
r = 30
My god, this is tricky but it's between D and E.
I think it should be e.
0.000038 = 3.8e-5 = 3.8×10⁻⁵
