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3 years ago

What is the approximate volume of the tube? Round to the

Mathematics

1 answer:

vladimir2022 [97]3 years ago

4 0

Answer:

The approximate volume of the tube is 1,005 cm³

Step-by-step explanation:

To find the volume of the tube, we will follow the steps below:

First, write the formula for calculating the volume of a cylinder

volume of a cylinder = πr²h

where r is the radius and h is the height of the cylindrical cardboard tube

from the question given, height is equal to 20 centimeters and diameter = 8 centimeters but diameter = 2r, this implies that r = d/2 hence radius r =8/2 = 4 centimeters

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

volume of a cylinder = πr²h

≈ 3.14 × 4²× 20

=3.14 × 16× 20

≈1,005 cm³ to the nearest whole cubic centimeter.

The approximate volume of the tube is 1,005 cm³

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melisa1 [442]

Answer:

1.105°

angle relationship=vertical angles

2.112°

angle relationship=interior angles

Step-by-step explanation:

1.180-75=105

2.180-68=112

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6 0

3 years ago

Find x and y so that the quadrilateral is a parallelogram.

sergiy2304 [10]

Answer:

Result:

The value of x = 12

The value of y = 21

Step-by-step explanation:

Given

The parallelogram DEFG

DE = 6x-12

FG = 2x+36

EF = 4y

DG = 6y-42

We know that the opposite sides of a parallelogram are equal.

As DE and FG are opposite sides, so

DE = FG

substituting DE = 6x-12 and FG = 2x+36 in the equation

6x-12 = 2x+36

6x-2x = 36+12

simplifying

4x = 48

dividing both sides by 4

4x/4 = 48/4

x = 12

Therefore,

The value of x = 12

Also, EF and DG are opposite sides, so

EF = DG

substituting EF = 4y and DG = 6y-42 in the equation

4y = 6y-42

switching sides

6y-42 = 4y

6y-4y = 42

2y = 42

dividing both sides by 2

2y/2 = 42/2

y = 21

Therefore,

The value of y = 21

Result:

The value of x = 12

The value of y = 21

3 0

3 years ago

What's the exponential form of log 10=1

sergiy2304 [10]

Answer:

10=10

Step-by-step explanation:

8 0

2 years ago

Adrian exercised three days during the past week. He exercised 58 minutes and 45 seconds during the

aniked [119]

Answer:

2h 1' 1"

Step-by-step explanation:

1h = 1 hora

1' = 1 minute

1" = 1 secind

The sum of the three days is:

58' 45"

+ 40' 40"

20' 36"

= 118' 121"

118' 121" = 118' + 121"

1' = 60"

121" = 120" + 1" = (120/60) + 1 = 2' + 1"

Then:

118' + 121" = 118' + 2' ´+ 1" = 120' + 1"

1 h = 60'

(120/60) + 1 = 2h + 1'

then:

118' + 121" = 2h + 1' + 1"

= 2h 1' 1"

3 0

1 year ago

Find the distance between the two numbers on a number line. Write your answer as a mixed number.

solong [7]

Answer:

We conclude that the distance between the two numbers on a number line will be: 322

Step-by-step explanation:

Given the numbers

-212

-534

There can be a lot of ways to determine the distance between the two numbers on a number line like counting every number between them.

But, we can use a more efficient method in terms of determining the distance by taking the absolute value of the difference between those numbers.

Distance between the numbers:

$\left|-212-\left(-534\right)\right|$

Apply rule: -(-a) = a

$=\left|-212+534\right|$

$=\left|322\right|$

Apply absolute rule: $\left|a\right|=a,\:a\ge 0$

$=322$

Therefore, we conclude that the distance between the two numbers on a number line will be: 322

4 0

2 years ago