Answer:
A. x = 5 (Equation below)
B. AC = 9 | BD = 9
Step-by-step explanation:
A. Since we know the diagonals of an isosceles trapezoid are congruent, we know that the two bottom parts of the diagonal BD (2x - 8 and x - 4) are congruent to the diagonal AC (x + 2) . This means you can just equal them together and get the value of x:
2x - 8 + x - 4 = x + 2
3x - 12 = x + 2
3x = x + 14
2x = 14
x = 7
B. Just plug in 5 for x:
AC = x + 2 = 7 + 2 = 9
BD = 2x - 8 + x -4 = 3x - 12 = 21 - 12 = 9
V = 4/3 (3.14) (5) to the third power 3
(5)3rd = 125
4/3 x (3.14 x 125)
3.14 x 125 = 392.5
4/3 x 392.5 = 1570 / 3
Volume = 523.33
Step-by-step explanation:
Let's say b is the rate of the boat in still water, and c is the rate of the current.
Distance = rate × time
Going upstream:
100 = (b − c) (5)
20 = b − c
Going downstream:
100 = (b + c) (2)
50 = b + c
Solve the system of equations using substitution or elimination. Using elimination, add the equations together:
70 = 2b
b = 35
c = 15
The boat's speed is 35 km/h, and the current's speed is 15 km/h.
Answer:
see explaination
Step-by-step explanation:
The p-value for Factor A is greater than 0.1
What is your conclusion with respect to Factor A?
Factor A is not significant.
The p-value for Factor B is greater than 0.1
What is your conclusion with respect to Factor B?
Factor B is not significant.
The p-value for the interaction of factors A and B is greater than 0.1
What is your conclusion with respect to the interaction of Factors A and B?
The interaction of Factors A and B is not significant.
What is your recommendation to the amusement park?
Since method is not a significant factor, use either loading and unloading method.
So final step to do is you square root the x^2 and square root the 4000 which will get you answer of x = 63.2455532034 which can be 63.2. Hope this help!!
