- Stormswan

can someone check my answers please?? C: I will give a medal!

- jamiebookeater

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- 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)

- Stormswan

I think the answer is B

- 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

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## More answers

- Stormswan

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

- Stormswan

that's for #2??

- 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

- 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.

- 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??

- 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)

- Stormswan

this is the question.

- freckles

|dw:1437893489289:dw|

- freckles

my drawing got cut off

- Stormswan

aw, okay. what did it say??

- freckles

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

- freckles

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

- 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

- Stormswan

is C right?

- freckles

for which one?

- Stormswan

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

- 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

- Stormswan

so it's D.

- freckles

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

- freckles

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

- 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..

- Stormswan

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

- freckles

so it really is written as 62 or 92?

- Stormswan

yeah.

- freckles

not \[6^2 \text{ or } 9^2?\]

- 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

- ganeshie8

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

- Stormswan

oh.

- freckles

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

- Stormswan

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

- Stormswan

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

- freckles

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

- 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? :)

- 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

- freckles

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

- freckles

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

- Stormswan

okay, good! thanks :)

- freckles

I assume good means what I just asked you to do confirmed your answer of 32

- Stormswan

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

- freckles

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

- freckles

alright I might come look at it

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