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3 years ago

How many cones of radius 1 m and height 1 m have total volume equal to the volume of a sphere with a radius 1m?

1 answer:

7 0

Vcone=1/3(hpir^2)
Vsphere=(4/3)pir^3

evaluate
vcone=1/3(1pi1^2)=pi/3
vsphere=4/3pi1^3=4pi/3

pi/3 times what=4pi/3
times both sides by 3
pi times what=4pi
divide both sides by pi
1 times what=4
what=4

4 cones

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A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 70% pure anti

andre [41]

Answer:

First brand of antifreeze: 21 gallons

Second brand of antifreeze: 9 gallons

Step-by-step explanation:

Let's call A the amount of first brand of antifreeze. 20% pure antifreeze

Let's call B the amount of second brand of antifreeze. 70% pure antifreeze

The resulting mixture should have 35% pure antifreeze, and 30 gallons.

Then we know that the total amount of mixture will be:

$A + B = 30$

Then the total amount of pure antifreeze in the mixture will be:

$0.2A + 0.7B = 0.35 * 30$

$0.2A + 0.7B = 10.5$

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:

$-0.7A -0.7B = -0.7*30$

$-0.7A -0.7B = -21$

$0.2A + 0.7B = 10.5$

--------------------------------------

$-0.5A = -10.5$

$A = \frac{-10.5}{-0.5}$

$A = 21\ gallons$

We substitute the value of A into one of the two equations and solve for B.

$21 + B = 30$

$B = 9\ gallons$

3 0

3 years ago

In a class of p students, the average (arithmetic mean) of the test scores is 70. in another class of n students, the average of

lys-0071 [83]

First case:

average of test score =70

number of students =p

total score of 'p' students = ( average of test score)*( number of students)

total score of 'p' students =70p

Second case:

average of test score =92

number of students =n

total score of 'n' students = ( average of test score)*( number of students)

total score of 'n' students =92n

total number of students = p+n

total average score =86

so, total score =86(p+n)

total score = total score of 'p' students +total score of 'n' students

$86(p+n)=70p+92n$

now, we can simplify it

$86p+86n=70p+92n$

$86p-70p=92n-86n$

$16p=6n$

now, we can find p/n

$\frac{p}{n}= \frac{6}{16}$

$\frac{p}{n}= \frac{3}{8}$ ................Answer

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3 years ago

COS I = sin 34° What is the value of x? Please help me or I will fail this class

Flura [38]

Not sure what we are solving, please eloborate on what you need solved, for now I can’t answer

3 0

3 years ago

Read 2 more answers

I need to know the second one. I tried many times and it didn't work:(

makkiz [27]

X = +12 in equation 9. Does that help?

4 0

3 years ago

Read 2 more answers

PLEASE HELP ME SLOVE Answers A.72 B.6 C.12 D.4/41

Makovka662 [10]

${ \sf{ \red{using \: pythagoras \: theorem}}} \\ \\ { \sf {(20)}^{2} - {(16)}^{2} = {x}^{2} } \\ \\ { \sf{400 - 256 = {x}^{2} }} \\ \\ { \sf{144 = {x}^{2} }}$

${ \sf{x = \sqrt{144} }} \\ \\ { \boxed{ \boxed{ \green{x = 12}}}}$

option (C)

8 0

3 years ago