## Stormswan one year ago can someone check my answers please?? C: I will give a medal!

1. Stormswan

A segment with endpoints A (2, 1) and C (4, 7) is partitioned by a point B such that AB and BC form a 3:2 ratio. Find B. (3.2, 1.6) (3.2, 4.6) (3.8, 3.4) (4.4, 5.8)

2. Stormswan

I think the answer is B

3. Stormswan

Find the perimeter of a quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3). Round your answer to the nearest hundredth when necessary. 12 units 16 units 20 units 24 units

4. Stormswan

and im not sure on this one... but i think its C?

5. Stormswan

that's for #2??

6. anonymous

for the first one the change in x is 2 and the change in y is 7 we can find the distance by r^2= x^2 + 7^2

7. Stormswan

okay, could you explain how to do this please? I really need to learn this because I have a bad grade in the class and I need to catch up.

8. Stormswan

you know what? i dont need help with those anymore... but i need help with a few others, if anyone is willing to help??

9. Stormswan

A cylinder has a radius of 6 feet and a height of 9 feet. Which of the following can be used to calculate the volume of a cone that fits exactly inside the cylinder? 1 over 3(3.14)(92)(6) (3.14)(92)(6) 1 over 3(3.14)(62)(9) (3.14)(62)(9)

10. Stormswan

this is the question.

11. freckles

|dw:1437893489289:dw|

12. freckles

my drawing got cut off

13. Stormswan

aw, okay. what did it say??

14. freckles

basically I was saying you can use the slope of that line along with AB/BC=3/2 to solve for B $\frac{\sqrt{(x-2)^2+(y-1)^2}}{\sqrt{(x-4)^2+(y-7)^2}}=\frac{3}{2} \\ \text{ and use } \frac{y-1}{x-2}=\frac{y-7}{x-4}=\frac{7-1}{4-2}$ $\sqrt{\frac{(x-2)^2+(y-1)^2}{(x-4)^2+(y-7)^2}}=\frac{3}{2} \\ \text{ \square both sides } \\ \frac{(x-2)^2+(y-1)^2}{(x-4)^2+(y-7)^2}=\frac{9}{4} \\ \text{ use the slope thing } y-1=\frac{6}{2}(x-2) \text{ which simplifying a bit gives }\\ y-1=3(x-2) \\ \text{ also we have from the slope thing that } y-7=3(x-4) \\ \\ \text{ so now we have the equation } \\ \frac{(x-2)^2+9(x-2)^2}{(x-4)^2+9(x-4)^2} =\frac{9}{4} \\ \text{ combine like terms on \top and bottom } \\ \frac{10(x-2)^2}{10(x-4)^2}=\frac{9}{4} \\ \text{ remember } \frac{10}{10}=1 \\ \frac{(x-2)^2}{(x-4)^2}=\frac{9}{4} \\ (\frac{x-2}{x-4})^2=\frac{9}{4} \\ \text{ this should be pretty easy \to solve from here }$

15. freckles

once you solve that equation for x you can use y=3(x-2)+1 to find y by pluggin in that x

16. freckles

for the perimeter question I would use the distance formula 4 times once for each side and then add up all those side measurements

17. Stormswan

is C right?

18. freckles

for which one?

19. Stormswan

ummm im talking about the question i just recently asked... not the ones before.

20. freckles

oh the volume of a cone is pi*r^2*h/3 you are given h is 9 and r is 6 just plug them in

21. Stormswan

so it's D.

22. freckles

it is none of them have no idea where they get 62 or 92

23. freckles

perhaps they meant 6^2 or 9^2 or something but as the choices stand none of them are correct

24. Stormswan

what. this is confusing. this is a practice worksheet.. so it doesnt actually count as a part of my grade.. but i'm trying to find out how to do these so that I can get a good grade on the real assignments..

25. Stormswan

okay.... then how about another question....

26. freckles

so it really is written as 62 or 92?

27. Stormswan

yeah.

28. freckles

not $6^2 \text{ or } 9^2?$

29. Stormswan

Pyramid A is a square pyramid with a base side length of 7 inches and a height of 6 inches. Pyramid B has a volume of 3,136 in3. How many times bigger is the volume of pyramid B than pyramid A? 15 32 54 75 So on this i think the answer is.... B

30. ganeshie8

@Stormswan it would be less confusing if you limit to one question per post

31. Stormswan

oh.

32. freckles

we can do the question before it just won't exactly match any of your choices

33. Stormswan

after this question i will make a new post deal? :D

34. Stormswan

ummm @freckles no, it's okay. let's try the next one. i think i got that one right :)

35. freckles

but choice D didn't have a division by 3 in it

36. Stormswan

idk xD i'm just as confused as you are. but i'll just stick with that answer. Can you check if my next question is right? :)

37. freckles

I didn't do it but if you found it by calculating Volume of B/Volume of A where volume A.. equals.. $\text{ volume of } A=\frac{ \text{ base length } \cdot \text{ base width } \cdot \text{height }}{3}$ then you did it correct

38. freckles

like you know base length=base width since the base is a square

39. freckles

so V of A=(7*7*6)/3 compute this then do volume of B divided by volume of A

40. Stormswan

okay, good! thanks :)

41. freckles

42. Stormswan

i'll open a new post with another question, if you dont mind helping @freckles but yeah, I figured it out :)

43. freckles

32 is correct because 3136/98 is 32 where Volume of B =3136 and Volume of A=98

44. freckles

alright I might come look at it