45.3297 rounded to the nearest tenth is 45.3
3 is in the tenths place, so you look at the number to the right of it. If that number is 5 or more, you round up. If the number is 4 or less, you round down. So you round 45.3297 down to 45.3
For the first one, the graph shows a total of 12 representatives across all 5 categories, and of those, 2 are from the west this is the fraction 2/12, or the answer A) 1/6, meaning that 1 in 6 of the representatives are going to be from the western region.
For number 2, the answer is A) If you flip a coin 800 times, heads will come up about 400 times. This is because the law of large numbers says that as the number gets larger the ratio will get closer to 1:1. This means that since the coin only has 2 sides, it is about 50/50, meaning that of 800, 400 would be heads and 400 would be tails.
Hope this helps! :D
Answer:
(1,2) and (5,4)
Step-by-step explanation:
Hello There!
I had made a graph to make it easier to understand.
The points given to us are represented by the green points
The points that would make a rectangle with lines that are parallel with the x axis would be (1,2) and (5,4) (represented by the red points)
As you can see the points added had created a rectangle with sides that are parallel with the x axis
This meets all of the requirements therefore the other two vertices would have the points (1,2) and (5,4)
Short answer: No and yes.
Yes First.
If the lower right point (looks like an C perhaps or an F) and the middle point and the upper left point lie on the same line and if D the middle point and the upper right point lie n the the same line, then yes. You have angle side angle. The lower right angle is given as equal to the upper left angle. The angles at C are vertically opposite angles and they are equal and you have been given 2 enclosed sides that are equal.
No
If the points I've described are not on the same line, then the triangles are not congruent. If I can, I'll edit this a second time.
Please Note:
You have done something that looks a bit illegal to me. I wouldn't just trade pictures. It only costs you another 5 points to issue another question. I do think, however, that it is very clever. In answering about 1700 questions, I've never seen this done. That's commendable.
Answer:
(x + 2)² + (y - 1)² = 25
Step-by-step explanation:
radius: r² = (1 - (-3))² + (-2 - (-5))² = 16 + 9 = 25
r = 5
Circle: (x - h)² + (y - k)² = r²
center: (-2 , 1) h = -2 k = 1
(x + 2)² + (y - 1)² = 25
