Question

see attached file

Answer 1

@mathmale @wolf1728 @jim_thompson5910

Answer 2

what 563 ghost told you it was 10 but i say 8.did you ever look back your revioius question

Answer 3

use the pythagoream theorem

Answer 4

check out this article
https://www.mathsisfun.com/pythagoras.html
specifically how they set up this triangle
https://www.mathsisfun.com/geometry/images/triangle-3-4-5-pyth.gif

Answer 5

a^2 + b^2 = c^2

Answer 6

is the answer 10? @jim_thompson5910

Answer 7

@ivettef365

Answer 8

yes

Answer 9

yes it is

Answer 10

6^2 + 8^2 = 36 + 64 = 100 then square root of 100 = 10

Answer 11

good job

Answer 12

ok next!

Answer 13

@jim_thompson5910 ?

Answer 14

Your first task is to find the volume of the cone with diameter of 4 and height of 6.3


diameter = 4
radius = 2
r = 2


height = 6.3
h = 6.3


\[\Large \pi \approx 3.14\]


Volume of the cone
\[\Large V = \frac{1}{3}*\pi*r^2*h\]
\[\Large V = \frac{1}{3}*3.14*2^2*6.3\]
\[\Large V = ???\]

Tell me what you get.

Answer 15

23.376!

Answer 16

very good

Answer 17

80 cubic cm of water goes in the two glasses.


26.376 cubic cm of water goes in the conical glass on the right. So there is 80 - 26.376 = 53.624 cubic cm of water leftover for the cylindrical glass.


So this means that if we want all the water to fill up the glass on the left, with no leftover water or a shortage of water, this means that the volume of the cylinder must be approximately 53.624 cubic cm

Answer 18

ok so 53.6 is the answer? thats not one of the multiple choices

Answer 19

53.624 cubic cm is the volume of the cylinder, so V = 53.624


The radius is r = 1.5 because this is half of 3, the diamter.


The value of h is unknown

\[\Large \pi \approx 3.14\]

Volume of the cylinder
\[\Large V = \pi*r^2*h\]
\[\Large V = 3.14*r^2*h\]
\[\Large 53.624 = 3.14*(1.5)^2*h\]


Solve for h

Answer 20

7.5

Answer 21

you should get 7.59009200283086 which rounds to 7.6

Answer 22

awesome! next! :)

Answer 23

So if the height of the cylinder is approximately 7.6 cm, then the volume of the cylinder is approximately 53.624 cubic cm

Answer 24

use pythagoream theorem

Answer 25

find the distance from B to C
and from C to A

Answer 26

pythagoream theorerm a^2 + b^2 = c^2

Answer 27

ok from b to c.. its (2,2)
and from c to A its (4,4)

Answer 28

am i right?

Answer 29

yes from B to C = 2
and from C to A = 4

no use the formula 2^2 + 4^2 = C^2

Answer 30

now use ....

Answer 31

whats c?

Answer 32

157?

Answer 33

c is the hypothenuse of the triangle in this case is the length from A to B

Answer 34

2^2 = 4
4^2 = 16
so you have 16 + 4 = 20
so you have 20 = c^2,

Answer 35

to isolate C you square both sides so you end up with square root of 20

Answer 36

ok so what do i need to solve to find my answer?

Answer 37

that's it the question is find the length of AB

Answer 38

the length of AB = square root 20

Answer 39

do you have questions?

Answer 40

oh yes.. @ivettef365

Answer 41

same thing use the pythagorean theorem

Answer 42

it works like this
a^2 = one leg of the triangle b^2 = the other leg c^2 = hypothenuse
a^2 + b^2 = c^2

Answer 43

now you have the information of one of the leg and the hypothenuse

Answer 44

14cm

Answer 45

that is the hypothenuse

Answer 46

ok so then what do i need to solve to get an answer?

Answer 47

just plug in numbers on equation

12^2 + b^2 = 14^2
solve for b

Answer 48

do you know how to solve this ?

Answer 49

no :(

Answer 50

ok, start by 12^2

Answer 51

24

Answer 52

no 12^2 is the same as 12 x 12

Answer 53

oh sorry

Answer 54

144

Answer 55

ok so you have

144 + b^2 = 196

Answer 56

now you subtract 144 from both sides

144 + b^2 = 196
- 144 -144
-------------------
b^2 = 52

Answer 57

you understand up to there?

Answer 58

yes

Answer 59

whats b?

Answer 60

ok now you square both side, use calculator what is the square root of 52

Answer 61

7.2!

Answer 62

right that is your answer

Answer 63

same thing find the distances using the pythagoream theorem

Answer 64

this one is confusing me.. i need your help again

Answer 65

what is the distance from the school to the mall?

Answer 66

what is the distance from the mall to the library?

Answer 67

-10,8?

Answer 68

believe is -10 to 6 ? please check

Answer 69

oh yea

Answer 70

ok so that distance is 16 from -10 to 6 there are 16 squares

Answer 71

no the distance from the mall to the library

Answer 72

no the distance from the mall to the library

Answer 73

6,6 or 6,13?

Answer 74

just look the points on the x axis

Answer 75

6,6

Answer 76

it is from 15 to -15 please check

Answer 77

yes i believe so..

Answer 78

just look at the line from the mall to the library, the line starts on 15 and ends on -15

Answer 79

theres no 15 though?

Answer 80

look at the line from the school to the mall where does it cross ?

Answer 81

14

Answer 82

it is in between 14 and 16, it does not show number 15 but is in between

Answer 83

oh ok..

Answer 84

ok so the distance from the mall to the library is 30
since starta at 15 and ends on -15

Answer 85

so MIke travel 16 miles + 30 miles = 46 miles

Answer 86

now we have to find the distance from the school to the library

Answer 87

here we us pythagoream theorem
16^2 + 30^2 = c^2
256 + 900 = c^2
1156 = c^2
square root of 1156 = 34

Answer 88

ok so the answer is 34?

Answer 89

the question is how many moire miles did MIke travel than Henry

Answer 90

MIke travel 46 miles
Henry travel 34 Miles

Answer 91

12?