Determine whether triangle TJD is congruent to triangle SEK given T (-4,-2), J (0,5), D (1,-1), S (-1,3), E (3,10), K (4,4) and
nataly862011 [7]
Yes, it is.
The three points of triangle SEK are the points of TJD shifted 3 units right and 5 units upward.
So they are the same triangle, just translated in the plane.
Answer:
Option D
Step-by-step explanation:
A reporter collects a random sample of 50 runners from all the runners who finished the Cherry Blossom Ten Mile Run in 2009 and constructs a 99% confidence interval for the true mean finish time to be (86.05, 99.38) minutes.
Assuming the reporter performed the calculations correctly, which of the following statements are appropriate interpretations of this confidence interval?
We can expect that 99% of confidence intervals created using the same method the reporter used will contain the true mean run time for runners of this race.
Answer:
0.25 feet per minute
Step-by-step explanation:
Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.


Since base diameter = Height of the Cone
Radius of the Cone = h/2
Therefore,


Therefore: 
We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute
<span>3/8 is left is the correct answer if multiple choice
</span>
Answer: 4.089; 4.870; 4.881; 4.89