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Kazeer [188]
1 year ago
10

A rectangular container that measures 2 cm x 11 cm x 20 cm is completely filled with water. The water is then poured into a holl

ow cylindrical container of base radius 5 cm.
What is the height of water in the cylindrical container?

A. 28/5 cm

B. 14 cm

c. 184/5 cm

D. 88 cm
Mathematics
2 answers:
sleet_krkn [62]1 year ago
8 0

Answer:The volume of a rectangular container is

V = L X B X H, while the volume of the Cylindrical container is

V = pie( r^2)h where ( pie = 3.142 )

Volume of the rectangle = 2 x 11 x 20

= 440cm^3

Now to find the height of the cylinder we now equate the volume of the rectangle with that of the cylinder and make h the subject of the formula

440 = pie(r^2)h

= 3.142 x 5^2 x h

= 3.142 x 25 X h

=78.55h

440 = 78.55h

h. = 440/78.55

= 5.6cm

Step-by-step explanation:

maksim [4K]1 year ago
3 0

Answer:

14cm

Step-by-step explanation:

formula of a rectangular container is LBH and we were given that LBH is 2*11*20 which is equal to 440cm.

Now when the water is transferred into a hollow cylindrical container.the formula for that is 2pierh.440=2*22/7*5*h

440*7=220h

3080=220h

h=14cm

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1. The table has a constant of proportionality of 4, therefore, the perimeter and side length of squares are proportional.

2. Equation for the proportion is, y = 4x.

Perimeter = 48 cm.

<h3>What is the Equation of a Proportional Relationship?</h3>

The equation that defines a proportional relationship is, y = kx, where k is the constant of proportionality between variables x and y.

1. For the table given:

y = perimeter

x = side length

k = constant of proportionality = 8/2 = 16/4 = 24/6 = 4.

Since k is the same all through, the equation can be modelled as y = 4x, which means the perimeter and side length of squares are proportional.

2. Using the equation, y = 4x,the perimeter (y) of a square when its side length is 12 (x) is:

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The perimeter (y) of the square is: 48 cm.

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3 0
2 years ago
3) Solve the problem using your graphing calculator. Round all para meter values to the nearest hundredth.
Mama L [17]

Answer:

mmm, well, not much we can do per se, you'd need to use a calculator.

I'd like to point out you'd need a calculator that has regression features, namely something like a TI83 or TI83+ or higher.

That said, you can find online calculators with "quadratic regression" features, which is what this, all you do is enter the value pairs in it, to get the equation.

Step-by-step explanation:

8 0
2 years ago
2/3 (3x+9)=-2 (2x+6)​
rosijanka [135]

Answer: x=−3

Step-by-step explanation: Let's solve your equation step-by-step.

2

3

(3x+9)=−2(2x+6)

Step 1: Simplify both sides of the equation.

2

3

(3x+9)=−2(2x+6)

(

2

3

)(3x)+(

2

3

)(9)=(−2)(2x)+(−2)(6)(Distribute)

2x+6=−4x+−12

2x+6=−4x−12

Step 2: Add 4x to both sides.

2x+6+4x=−4x−12+4x

6x+6=−12

Step 3: Subtract 6 from both sides.

6x+6−6=−12−6

6x=−18

Step 4: Divide both sides by 6.

6x

6

=

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6

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