Answer:
The speed of the boat is 24 kilometers per hour, and the speed of the stream is 2 kilometers per hour.
Step-by-step explanation:
Given that a riverboat travels 52 km downstream in 2 hours, and it travels 66 km upstream in 3 hours, the following calculations must be performed to find the speed of the boat and the speed of the stream:
Downstream = 52/2 = 26
Upstream = 66/3 = 22
Stream = 4/2 = 2
Therefore, the speed of the boat is 24 kilometers per hour, and the speed of the stream is 2 kilometers per hour.
Answer:
Step-by-step explanation:
volume of one cube = ½×½×½ = ⅛ cm³
volume of prism = 5×3×6 = 90 cm³
90/(⅛) = 720 cubes to fill the prism.
volume of bottom layer of cubes = 5×3×½ = 7.5 cm³
7.5/(⅛) = 60 cubes on the bottom layer
Each layer is ½ cm in height
6 cm × (1 layer)/(½ cm) = = 12 layers
perimeter = 2×5 + 2×3 = 16 cm
Answer:
Step-by-step explanation:
Drop an angle bisector from angle C until it intersects AB. Because of the symmetry of the triangles created, you will form two small right angle congruent triangles. Call the point of intersection with AB = D. In other words the bisector of <C is CD.
CB = AC Isosceles triangle
CD / CB = Sin(38.5)
CD=?
CB = 35
CD / 35 = Sin(38.5) Multiply both sides by 35
CD = 35 * sin(38.5)
CD = 21.79
BD/CB = Cos(38.5)
BD = CB* Cos(38.5)
BD = 35 * Cos (38.5)
BD = 27.39
Area = CD * BA/2
BA/2 = DB
Area = CD * BD
Area = 21.79 * 27.39
Area = 596.9
Answer:
6
Step-by-step explanation:
if you notice here Josiah starts with 250 and Katie starts with 215, and in Josiah's equation he saves 25$ each month while Katie save 45$ each month, in order to find our answer we must multiply there starting amount by how many months.
A: 4 months is <em>incorrect</em> because Katie has 45x4+215 is 335, and Josiah has 25x4+250 is 350, so Katie is still behind
B: 5 months is <em>incorrect </em> because Katie has 45x5+215 is 375, and Josiah has, 25x5+250 which is 375, so they have the same amount of savings
C: 6 months is <em>correct</em> because Katie has 45x6+215 is 420, and Josiah has, 25x5+250 which is 400 , so Katie has more savings, Thus C is correct
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