Answer:
d = 576
Step-by-step explanation
Think of the two different speeds as belonging to 2 different cars going to the same place, taking the same route and going to the same place.
Let the time traveled by the fast car = t
Let the time traveled by the slower car = t+4
Let the rate of travel of the slow car = 36 mph
Let the rate of travel of the fast car = 48 mph
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d = 36*(t + 4)
d = 48 * t
Since the distance is the same, they can be equated.
48t = 36(t + 4) Remove the brackets.
48t = 36t + 144 Subtract 36t from both sides.
48t - 36t = 144 Combine
12t = 144 Divide by 12
t = 144/12
t = 12
Therefore the faster car takes 12 hours to get where it is going.
d = 48 * t
d = 48 * 12
d = 576
Answer:
The answer is 0.2mile
Step-by-step explanation:
The vertical height of the building, which is 630ft, is opposite the angle of elevation (30°).
While the horizontal distance to the tower is adjacent to the building. So, we take the tangent of the angle of elevation in terms of this unknown distance (x) and the vertical height.
So,
Tangent = opposite ÷ adjacent
Tan30° = 630ft ÷ x
x = 630ft ÷ tan30°
x = 1091.192ft
But,
1 mile = 5,280ft
1091.192ft = (1/5280) x 1091.192
= 0.2mile
Answer:
Options B, D and E
Step-by-step explanation:
Given equation is,
-4x + 5y - 12 = 8
-4x + 5y = 20
If a point given in the options lie on the line, point will satisfy the equation.
Option A.
For a point (5, 0),
-4(5) + 5(0) = 20
-20 = 20
False
Therefore, (5, 0) will not lie on the given line.
Option B
For (-2, 2.4)
-4(-2) + 5(2.4) = 20
8 + 12 = 20
20 = 20
True.
Therefore, (-2, 2.4) will lie on the given line
Option C
For (8, 5),
-4(8) + 5(5) = 20
-32 + 25 = 20
-7 = 20
False
Therefore, (8, 5) will not lie on the line.
Option D
For (10, 12)
-4(10) + 5(12) = 20
-40 + 60 = 20
20 = 20
True.
Therefore, (10, 12) will lie on the line.
Option E
For (0, 4)
-4(0) + 5(4) = 20
20 = 20
True.
Therefore, (0, 4) will lie on the line.
Options B, D and E are correct.
-11
Hope this answer helped :)
