A cone-shaped container has a height of 240 in. and a radius of 150 in. The cone is filled with a liquid chemical. The chemical evaporates at a rate of 12,000 in3 per week.How many weeks will it take for all of the chemical to evaporate?

Use 3.14 to approximate pi.

Answers

Answer 1

Answer:
volume of a cone=1/3 times height times area of base
area of base=circle
circle=pi times radius^2
aprox pi at 3.141592

3.141592 times 150^2=70685.8
1/3 times 240 times 70685.8
80 times 70685.8
5654865.6 in^3 =volume

so 12000 per week

so voumue/volume per week=weeks

5654865.6/12000=471.239
the rounded answer is 471

Answer 2

Answer: volume of a cone=1/3 times height times area of base
area of base=circle

circle=pi times radius²
aprox pi at 3.141592
3.141592 times 150²=70685.8
1/3 times 240 times 70685.8
80 times 70685.8
5654865.6 in³ =volume
so 12000 per week

so volume/volume per week=weeks
5654865.6/12000=471.239

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Determine the solution of the system. show your work Y=5x-9 Y=2x +6

Answers

Hi Brainiac

y= 5x-9

y= 2x+6

We need to solve y=5x-9 for y

Let's start by substitute 5x-9 for y in y=2x+6

y=2x+6

5x-9=2x+6

Add -2x to both sides

5x-9-2x=2x+6-2x

3x-9=6

Now add 9

3x-9+9= 6+9

3x=15

Now divide both sides by 3 so we find the value for x

3x/3= 15/3

x= 5

Now we have x :)

We gonna find the value for y by substitute 5 for x in y=5x-9

y=5x-9

y= 5(5)-9

y=25-9

y= 16

Final answer : x= 5 and y=16

(5,16)

It was my pleasured to help you :0 Good night.

What is 9 copies of 3.65

Answers

Answer: 32.85 is 9 copies of 3.65

Explanation:

According to question we are asked to determine the value of 9 copies of 3.65 which means we have add 3.65 nine times:

3.65 + 3.65 + 3.65 + 3.65 +3.65 + 3.65 +3.65 3.65 + 3.65 = 3.65(1+1+1+1+1+1+1+1+1)= $3.65* (9)=32.85$

So,the nine copies of 3.65 is 32.85.

32.85 is the answer you just multiply

Without measuring, how can you determine whether two sides of a polygon are congruent?

Answers

Ow... this geometry is sure hard!!
.
Wait a second. Nope.
.
TWO SIDES!!
.
ITT!!
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CONVERSE ITT!!
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Converse Isosceles Triangle Theorem!
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Look at the picture I attached.
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Two angles equal... THE SIDES ADJACENT TO IT EQUAL!!
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PERFECTO!!
.
Hope I helped!!

Source: I am learning Honors Geometry, near end of course.

It would be nice if I get some help with these 2 thingsThing 1.
A. EXPLAIN how to set up a proportion and then

B. solve the problem below.

A recipe calls for 9 tablespoons of milk for every 21 cups of flour. If the chef puts in 168 cups of flour, how many tablespoons of milk must the chef add?

thing 2.
solve the proportion 24/36 = 8/y

Answers

Thing 1
A. You can set up a proportion by dividing how much of something there is by the original. (This probably doesn't make much sense but I hope you can understand it from the answer to the problem below!)
B.First, do 168/21 to see how many more times he put flour in.
168/21= 8
Then to find out the milk in the same proportion do the number (in this case 8) times the original of the thing you wan to find out.
8x9=72
72 tablespoons of milk are needed for 168 cups of flour in this adapted recipe.

Thing 2
24/36=8y
To solve any equation, you want to have letters on one side and numbers on the other, so...
-8 from both sides...
(24/36)-8=y
24/36=0.6
y=(0.6-8)
y=-7.4

Hope this helps :)

Factor the numbers
x^{2} + 13x +36

Answers

Answer:

(X+9)(x+4)

Step-by-step explanation:

Find 2 numbers that add to get the middle number and also multiply to get the last number

4. Please help. If PG=−x+10, and GO=−3(x+2), what is the length of PO⎯⎯⎯⎯⎯⎯⎯⎯?

Answers

Answer:36

Step-by-step explanation:

Set PG=GO

-x+10 = -3x-6

Solve for x: x= -8

PG+GO=PO

-x+10-3x-6=PO

combine like terms: -4x+4= PO

Substitute your x value (-8) for x

-(-8)+10-3(-8)-6= 36

PO= 36

Final answer:

The length of line segment PO can be found by adding the lengths of line segments PG and GO. This results in a final equation of PO = -4x + 4.

Explanation:

In mathematical problems involving geometrical shapes, it is common to solve for lengths and distances. To determine the length of PO, we have to sum the lengths of PG and GO because, in a straight line, the total distance from point P to point O is the sum of segment PG and segment GO: PO = PG + GO.

Substitute the given equations into this expression to get: PO = (-x + 10) + (-3(x+2)). Simplifying this we get PO = -x + 10 -3x -6, and by combining like terms, we find that PO = -4x +4.