Answer:
Statement 1 and 2
Step-by-step explanation:
If you take t^2 - 16t + 55 and find some of its graphical values, you will get:
Turning point: (8,-9)
Roots: (5,0) and (11,0)
When this graph is plotted and you imagine the x axis to be time (as stated in the question), each of the roots (x - intercept) must be when the swimmer goes under and when they come back up.
This means that the swimmer dived under the water at 5 seconds and came back up at 9, making the first 2 statements correct.
Now the fourth statement is ruled out.
The fifth statement is not plausible as the graph would have to have more than 2 roots for the swimmer to enter the water twice.
That leaves the third statement. If you imagine the depth of the swimmer to be the y axis of our imaginary graph, and we know that the y axis of the turning point is -9, that means that the swimmer's deepest dive was 9 feet under the water, ruling out the third statement too.
Hope this helps :D
Answer:
C
Step-by-step explanation:
4.32/5=0.86 per bar
6.48/8=0.81 per bar <---- better buy
Answer:
<1 and <2
<3 and <2
<1 and <4
Step-by-step explanation:
Adjacent angles are angles that are next to each other. In essence, they would share one aside in common. In this problem, the answers are the following,
<1 and <2
<3 and <2
<1 and <4
So all of the internal angles of a triangle will add up to 180 degrees. So if we add all of the expressions given and set them equal to 180, we can solve for x, then solve for each angle...
(2x + 1) + (3x - 3) + 9x = 180
2x + 3x + 9x + 1 - 3 = 180
14x - 2 = 180
14x = 182
x = 13
Now we can substitute 13 into each expression to find the value of each angle...
2x + 1 =
2(13) + 1 =
26 + 1 = 27 degrees
3x - 3 =
3(13) - 3 =
39 - 3 = 36 degrees
9x =
9(13) = 117 degrees
So the 3 angles are 27 degrees, 36 degrees, and 117 degrees.
The smallest is 27 degrees
** Note-- I don't see 27 degrees in the answer choices you gave, so I double checked my math (I didn't find any mistakes). Please check to see that the question is written correctly (pay close attention to plus and minus signs).
