Answer:
360 miles
Step-by-step explanation:
let speed of plane be x
speed of wind be c
Also note D = RT, where
D is distance and R is rate and T is time
<u>For First Leg:</u>
we can write:
(x - c) * 2 = D
2x - 2c = D
<u>For Second Leg:</u>
we can write:
(x+c)*1.5 = D
1.5x + 1.5c = D
We can equate and write:
2x - 2c = 1.5x + 1.5c
0.5x = 3.5c
We know Speed of Wind, c, is 30, so we have:
0.5x = 3.5(30)
0.5x = 105
x = 105/0.5 = 210 [speed of airplane]
We know distance is
D = 2x - 2c
D = 2(210) - 2(30)
D = 420 - 60
D = 360 miles
The distance is 360 miles
Well whats the question and i will help cause I'm really good at math
Answer:
6 root 2
Step-by-step explanation:
Pythagous Therom
A^2 = B^2 + C^2
B^2 = C^2 - A^2
B^2 = 36 - (2 Root 3)^2
B^2 = 24
B = 2 root 6
Base x Height / 2 for area of Triangle
2 root 3 x root 24 = 12 root 2
12 root 2 / 2 = 6 root 2
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 2 √ 3 , − 2 √ 3
Answer:
4π ≈ 12.5663706144
Step-by-step explanation:
The circumference of a circle is 2πr, or 2*pi*radius
Suppose the circle has a diameter of 4 inches. A diameter is 2x the radius, of which we are looking for, therefore:
4÷2=<u>2 inches</u> (radius length)
Now that we have the radius, let us <u>substitute</u> to find the circumference:
2πr=
2π2=
4π≈
<u>12.5663706144</u>
<u></u>
<em>I hope this helped! Let me know if you have any further questions :)</em>
