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
Answer:
Option D. AC= 10 cm and CE= 5 cm
Step-by-step explanation:
From the given figure two triangles ΔABC and ΔADE are similar and two lines BC║DE.
From these similar triangles we know


Therefore 
Or AC=
Now from pythagoras theorem
AE = √(AD²+ED²) = √(12²+9²) = √(144+81) =√225 = 15 cm
Since we know side AC = 
= 
= 10 cm
Therefore AC = 10 cm and AE = 15cm and CE = (15-10) = 5 cm
Hey buddy I am here to help!
total outcomes r = 36
multiples of 3 = 3,6
total outcomes of multiple fo 3 = 12
12/36 = 1/3
1/3 is the answer
Hope it helps!
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The graph of y = -3x+5
Step 1: Since the y - intercept is 5, plot the point (0,5).
Step 2: Since the slope is -3, move 1 unit to the right and 3 units down, so plot the point (1,2).
Step 3: Connect those points by a straight line.