Answer:
16.28 mph ; 79.38°
Step-by-step explanation:
Given the following :
Speed of child due east = 3mph
Speed of ship due North = 16mph
Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus
Relative Speed = Sqrt(3² + 16²)
Relative Speed = sqrt(9 + 256)
= sqrt(265)
= 16.2788 mph
= 16.28 mph
From trigonometry ;
Tanθ = opposite / Adjacent
Tanθ = (16 / 3)
Tanθ = 5.333
θ = tan^-1(5.333)
θ = 79.379°
θ = 79.38°
Answer:
The equation has no solutions .
Step-by-step explanation:
Given as :
<u>The linear equation is </u>
(24 -16 x) =
(18 x -27)
Or, ×24 -
× 16 x =
× 18 x -
× 27
Or, ×24 -
× 16 x =
× 18 x +
× 27
Or, -
=
+
Or, 3 × 6 - 3 × 4 x = - 2 × 6 x + 2 × 9
Or, 18 - 12 x = - 12 x + 18
Or, 18 - 18 = - 12 x + 12 x
or, 0 = 0
∵ The linear equation has no variables , so the equation has no solution
Hence,The equation has no solutions . Answer
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Explanation:
Refer to the diagram below. The width is w. We have two opposite and parallel sides equal to this. The other two parallel congruent sides are L = 25-2w meters long. We start with the total amount of fencing, and then subtract off the two width values, so 25-w-w = 25-2w.
The area of the rectangle is
Area = length*width
Area = L*W
Area = (25-2w)*w
Area = 25w - 2w^2
Area = -2w^2 + 25w
Set this equal to the desired area (25 square meters) to get
-2w^2 + 25w = 25
and we can subtract 25 from both sides to get everything on one side
-2w^2 + 25w - 25 = 0
side note: The two approximate solutions of this equation are w = 1.0961 and w = 11.4039 (use the quadratic formula or a graphing calculator to find this)
