Answer:
The speed of the airplane in still air is 550 mph.
The speed of the wind is 50 mph.
Step-by-step explanation:
speed = distance / time
distance = speed * time
or simply
d = st
Let v be the speed of the airplane with no wind.
Let w = speed of wind
With the wind:
d = 1800; s = v + w; t = 3
1800 = 3(v + w)
Against the wind:
d = 1800; s = v - w; t = 3.6
1800 = 3.6(v - w)
We have a system of two equations:
3(v + w) = 1800
3.6(v - w) = 1800
Divide both sides of the first equation by 3. Divide both sides of the second equation by 3.6.
v + w = 600
v - w = 500
Add the equations.
2v = 1100
v = 550
The speed of the airplane in still air is 550 mph.
v + w = 600
550 + w = 600
w = 50
The speed of the wind is 50 mph.
Answer:
AB equals 25
Step-by-step explanation:
1( you take ED and the 5 and say of 5.
2( then you count all the letters that stand for numbers and count them.
3) after you count them how many ever there are then you take that number which was 5 too.
4(after you find that number which is number 5 you multipliy 5 and 5.
5(after you multipliy then you should get 25 because 5x5 is 25.
And there you go thats the answer step by step.
Answer:
1) y = -8/5x + 8
2) slope = -3
3) x = 4
4) x ≥ 22/3
5) x = 21/16
6) x = 12
Step-by-step explanation:
1) For the slope, you know you go up 8 left 5 to get from the x-intercept to your y-intercept so it’s positive 8 over -5 (rise over run).
This makes your slope 8/-5 which is the same as -8/5
2) The slope is next to the x, so the slope is -3/1 which is -3.
3) Rearrange the equation to y = mx + b.
Firstly, subtract 6x from both sides:
-3y = -6x + 24
Then, divide both sides by -3:
y = 2x - 8
To get the x-intercept, divide the y-intercept (but positive) by the slope.
8/2 = 4
Your x-intercept is 4.
4) Distribute on the terms:
-53 ≥ -9x - 9 + 3x
Combine like terms:
-53 ≥ -6x - 9
Add 9 to both sides:
-44 ≥ -6x
Divide both sides by -6:
44/6 ≤ x
(Inequality flipped because you divide by a negative)
Simplify:
22/3 ≤ x
Flip the inequality:
x ≥ 22/3
5) Multiply both sides by 4:
3x - x/3 = 7/2
Multiply both sides by 3:
9x - x = 21/2
Combine like terms:
8x = 21/2
Divide both sides by 8:
x = 21/16
or
x = 1.3125
6) Combine like terms:
7x + 6 = 90
Subtract 6 from both sides:
7x = 84
Divide both sides by 7:
x = 12
Hope this helps!
Answer: Choice B
Building A; it is around 50.34 feet taller than building B
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Explanation:
Draw two right triangles such that they both have a reference angle of 40 degrees. Since it's an angle of elevation, place the angle near the horizontal side.
Opposite each reference angle is the height of the building, which we'll call h.
The adjacent side is the horizontal distance from the person to the building.
Building A is 120 ft away so it's height is...
tan(angle) = opposite/adjacent
tan(40) = h/120
h = 120*tan(40)
h = 100.69
This value is approximate. Make sure your calculator is in degree mode.
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Repeat the same idea for building B, except the adjacent side is smaller this time.
tan(angle) = opposite/adjacent
tan(40) = h/60
h = 60*tan(40)
h = 50.35
This value is approximate.
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Now subtract the heights
100.69 - 50.35 = 50.34
This shows that building A is roughly 50.34 taller than building B.
Answer:
-0.7
Step-by-step explanation:
You can choose any digits you wish for and but the difference must be 0.7. I chose 1.0 and 0.3.