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3 years ago

2. A rectangular piece of paper

2 answers:

7 0

Given a Rectangular piece of paper 11cm × 4cm is folded without overlapping to make a cylinder of height 4 cm

The length of the paper becomes the circumference of the base of the cylinder and width becomes height.

Let radius of the cylinder= r and height= h

Circumference of the base of cylinder = 2πr = 11cm

⇒2× 22/7 × r = 11

∴r= 7/4 cm

Now h = 4cm

Volume of the cylinder (V)=πr^2h

= 22/7 × 7/4 × 7/4 × 4cm^3

= 38.5cm

dexar [7]3 years ago

4 0

Answer:

pineapple

Step-by-step explanation:

They are sweet and juicy big pineapples

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On a beach trip, Lucy rents a bike from “Wheels by the Waves”, where they rent bikes for $12 plus $3 per hour. If Lucy spent $30

Paul [167]

Answer: 6 hours

Step-by-step explanation: If you write an equation for this scenario it would be y = 12+3x. 12 is the starting value and x represents how many hours the bike is rented, therefore 3 dollars would be added to the initial 12 each hour. So if Lucy spent $30 then it would change to 30= 12+3x. Now you essentially just need to work backwards. Rearrange the equation and move 12 to the left of the equal sign to make 30-12=3x. Combine vairable to make 18=3x. Divide 3x by 3 to isolate x and divide 18 by 3 as well to make it even. This looks like 18/3=3x/3. Meaning it would end up as 6=x.

6 0

4 years ago

If y is directly proportional to x square and y equal 1/8 when x = 1/2 what is the positive value of x when y it was 9/2?

mojhsa [17]

Answer:

Step-by-step explanation:

Given y is directly proportional to x² then the equation relating them is

y = kx² ← k is the constant of proportion

To find k use the condition y = $\frac{1}{8}$ when x = $\frac{1}{2}$ , then

$\frac{1}{8}$ = k( $\frac{1}{2}$ )² = $\frac{1}{4}$ k ( multiply both sides by 8 )

1 = 2k ( divide both sides by 2 )

k = $\frac{1}{2}$

y = $\frac{1}{2}$ x² ← equation of proportion

When y = $\frac{9}{2}$ , then

$\frac{9}{2}$ = $\frac{1}{2}$ x² ( multiply both sides by 2 )

9 = x² ( take the square root of both sides )

x = ± $\sqrt{9}$ = ± 3

with positive value x = 3 → d

8 0

4 years ago

5. 3x + 5y + 5z =1<br> x - 2y = 5<br> 2x + 4y = 11

lilavasa [31]

Answer:

see explanation

Step-by-step explanation:

Given the 3 equations

3x + 5y + 5z = 1 → (1)

x - 2y = 5 → (2)

2x + 4y = 11 → (3)

Use (2) and (3) to solve for x and y

Multiply (2) by 2

2x - 4y = 10 → (4)

Add (3) and (4) term by term

4x = 21 ( divide both sides by 4 )

x = $\frac{21}{4\\}$

Substitute this value of x into (3)

2 × $\frac{21}{4\\}$ + 4y = 11

$\frac{21}{2\\}$ + 4y = 11 ( subtract $\frac{21}{2\\}$ from both sides )

4y = $\frac{1}{2}$ ( divide both sides by 4 )

y = $\frac{1}{8\\}$

Substitute the values of x and y into (1) and solve for z

3 × $\frac{21}{4\\}$ + 5 × $\frac{1}{8\\}$ + 5z = 1

$\frac{63}{4}$ + $\frac{5}{8}$ + 5z = 1

$\frac{131}{8}$ + 5z = 1 ( subtract $\frac{131}{8}$ from both sides )

5z = - $\frac{123}{8}$ ( divide both sides by 5 )

z = - $\frac{123}{40}$

Solution is

x = $\frac{21}{4\\}$ , y = $\frac{1}{8\\}$ , z = - $\frac{123}{40}$

3 0

3 years ago

There were two containers of oil. There was twice as much oil in the second container as in the first one. After using 13 liters

Iteru [2.4K]

Answer:

48 liters

Step-by-step explanation:

First container = x

Second container has twice as much oil.

Second container = 2x

13 liters of oil was used from first container.

x - 13

7 liters of oil was used from the second container.

2x - 7

Second container has 3 times more oil than the first one.

2x - 7 = 3(x - 13)

x - 7 = 3(x - 13)

x - 7 = 3x - 39

2x = 32

x = 16

First container = 16 liters

second container = 16 x 2 = 32 liters

Total = 16 + 32 = 48 liters

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3 years ago

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Alja [10]

Answer:

yasssasasasas

Step-by-step explanation:

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7 0

3 years ago

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