Answer:
The answers are in the question.
Step-by-step explanation:
The wording can be off-putting but the answers are mostly there for you. It says that when the wind was at the tail of the plane, the travel was hastened to 5 hours instead of six. Is the rate of speed with the wind in favor of the plane is r+21, then it stands to reason that traveling AGAINST the wind will cause the rate to drop to r-21. Taking the average of the two travel times (5 and 6 hours each), we get 5.5 hours. Since speed is distance divided by time, the speed of the plane in still air will be <em>d</em> / 5.5
Be sure to label the speed as mph.
Answer:
B. 24
Step-by-step explanation:
Since both triangles are similar, therefore,
GM/XD = AG/KX
(x - 2)/6 = (x + 9)/9
Cross multiply
9(x - 2) = 6(x + 9)
9x - 18 = 6x + 54
Collect like terms
9x - 6x = 18 + 54
3x = 72
Divide both sides by 3
x = 72/3
x = 24
Answer:
Step-by-step explanation:
Triangle WXY is a right angle triangle.
From the given right angle triangle
WY represents the hypotenuse of the right angle triangle.
With ∠W as the reference angle,
WX represents the adjacent side of the right angle triangle.
XY represents the opposite side of the right angle triangle.
To determine WY, we would apply the Sine trigonometric ratio
Sin θ = opposite side/hypotenuse. Therefore,
Sin 36 = 5/WY
WY = 5/Sin36 = 5/0.5878
WY = 8.5 to the nearest tenth
Ok so given the point (r, theta)
The corresponding Cartesian point is (r*sin(theta), r* cos(theta)) you can think about this by analyzing the points on a unit circle which is a graph of a polar circle with radius 1 and angle theta
Answer:
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Step-by-step explanation:
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