What is the volume of a cylinder with base radius 4 and height 5?
Either enter an exact answer in terms of m or use 3.14 for t and enter your answer as a decimal.

Answers

Answer 1

Answer:

251.2 units³ ; 80π units³

Step-by-step explanation:

Volume of a Cylinder is: [tex]V=\pi r^2 h[/tex]

'r' is the radius.

'h' is he height.  

The cylinder has a base radius of 4 units and the height 5 units.

Using 3.14 for Pi:

[tex]V=3.14*4^2*5\\V=3.14*16*5\\V= 50.24 * 5\\\boxed {V=251.2}[/tex]

The approximate volume is 251.2 units³.

In terms of pi:

[tex]V=\pi 4^2*5\\\rightarrow 4^2=16\\V=\pi 16*5\\V=\pi 80\\\boxed {V=80\pi}[/tex]

The exact volume is 80π units³.


Related Questions

A school took £1584 selling tickets.
Each ticket was sold for £8.
How many tickets were sold?

Answers

Answer: 198 tickets

Step-by-step explanation: 1584/8 = 198

Claire Reagan and Anthony deliver newspapers in the neighborhoods clear deliver 79 papers a day Reagan delivers 2490 papers a month Anthony delivers 616 papers a week how many do they deliver together in a year

Answers

Answer:

90,747

Step-by-step explanation:

Clair delivery=79 per day

Total delivery per year=79×365 days

=28,835

Reagan delivery=2490 per month

Total delivery per year=2490×12 months

=29,880

Anthony delivery= 616 per week

Total delivery per year =616×52 weeks

=32,032

Total delivery altogether in a year=28,835+29,880+32,032

=90,747

Answer:

Step-by-step explanation:

Clair delivers 79 papers a day.

Assuming that there are 365 days in a year, it means that the number of newspapers that Clair delivers in a year is

79 × 365 = 28835

Reagan delivers 2490 papers a month. There are 12 months in a year. it means that the number of newspapers that Reagan delivers in a year is

12 × 2490 =29880

Anthony delivers 616 papers a week. Assuming that there are 52 weeks in a year, it means that the number of newspapers that Anthony delivers in a year is

52 × 616 = 32032

Therefore, the number of newspapers that they deliver altogether in a year is

28835 + 29880 + 32032 = 90747

i need help asap!!!!! pls you’ll earn brainlist

Answers

Answer:

1 % decrease

Step-by-step explanation:

The percent of decrease time can be written as the expression [tex]\frac{200}{200}-\frac{198}{200} = \frac{2}{200}.[/tex] Now, we convert the fraction into a decimal: [tex]\frac{2}{200} = \frac{1}{100} = 0.01.[/tex] We can convert this decimal into a percentage: 0.01*100 = 1%.

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Need answer ASAP giving 10 points

Answers

Answer:

Step-by-step explanation:

6x10^8 = 600000000

1.5x10^-4 = 0.00015

600000000 divided by 0.00015 = 4e+32

4e+32 is the same as 4x10^-32

(Can you mark as brainiliest)

Value of x ?
X/2=8.5

Answers

Answer:

x=17

Step-by-step explanation:

to find x use this

[tex]\frac{x}{2} =8.5[/tex]

x=8.5*2=17

Answer:

x=17

Step-by-step explanation:

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x/2=8.5

x is being divided by 2. The opposite of division is multiplication. Multiply both sides by 2.

2*x/2=8.5*2

x=8.5*2

x=17

To check the solution, substitute 17 in for x in the original equation.

Original equation: x/2=8.5

Substitute 17 in for x: 17/2=8.5

17/2=8.5

8.5=8.5

This is true, so we know that x is equal to 17.

You have to solve for y

Answers

Answer:

[tex]y = 2 \sqrt{5} [/tex]

Step-by-step explanation:

[tex]y^{2} = ef = 5 \times 4 = 20[/tex]

[tex]y^{2} = 20[/tex]

[tex] \sqrt{y} = \sqrt{20} [/tex]

[tex]y = 2 \sqrt{5} [/tex]

Need help with this question?

Answers

Answer:

if you multiply by powers of 10 then make the decimal point go right.

Answer:

1.23 * 10^-7

Step-by-step explanation:

For decimals smaller than 1 usually something like 0.0000111 you count the decimal places backwards until you get to something greater than 0. So if you have 0.0022 the exponent would be 2.2 * 10^-3

For your problem 0.000000123

There's 6 zeros before you encounter the number thus your exponent is 1.23 * 10^-7

Here's a picture of how to do it!

the answer to the question

Answers

Answer:

All of the choices.

Step-by-step explanation:

A rational number is one that can be represented by the ratio of two integers. In other words, if you can write the number as a fraction of two whole numbers, then it is a rational number.

All of these numbers can be written this way. Therefore, all of the numbers seen are rational.

Sarah applies the pearl guitar fret markers to her fret board as shown. Each fret marker is in the shape of a parallelogram. Each of the three bottom fret markers has a base that measures 52.5mm and a height of 6mm. What is the area of each of the bottom fret markers? DO NOT INCLUDE UNITS. *

Answers

Answer:

Step-by-step explanation:

Since each fret marker is in the shape of a parallelogram, we would determine the area of each of the bottom fret markers by applying the formula for determining the area of a parallelogram. It us expressed as

Area = base × height

Each of the three bottom fret markers has a base that measures 52.5mm and a height of 6mm. Therefore, area of each the bottom fret markers is

52.5 × 6 = 315

Round your answer to the nearest hundredth

Any help will be appreciated thank you

Answers

AC is opposite to the given angle, and CB is adjacent to that angle as its not opposite to the angle, or the hypotenuse. When opposite and adjacent are given, we use the tan to find the missing angle or side.

tan 25 degrees=opposite/adjacent
tan 25=AC/5
AC=5 x tan 25
AC= 2.3315 cm

To the nearest hundredth means up to two decimal places, which is two digits right to the decimal point. The answer will not be rounded up as the digit after the second decimal place is less than 5.
AC=2.33 cm.

The product of two rational numbers is (-28/81). If one of them is (-2/3), the find the other.

Answers

Answer:

The other rational number is [tex]\dfrac{14}{27}[/tex].

Step-by-step explanation:

First rational number is [tex]\dfrac{-2}{3}[/tex]

Let other rational number is [tex]\dfrac{x}{y}[/tex]

The product of two rational numbers is [tex]\dfrac{-28}{81}[/tex]

According to question,

[tex]\dfrac{x}{y}\times \dfrac{-2}{3}=\dfrac{-28}{81}[/tex]

Multiplying both sides by (-3/2) such that,

[tex]\dfrac{x}{y}\times \dfrac{-2}{3}\times \dfrac{-3}{2}=\dfrac{-28}{81}\times \dfrac{-3}{2}\\\\\dfrac{x}{y}=\dfrac{14}{27}[/tex]

So, the other rational number is [tex]\dfrac{14}{27}[/tex].

Answer:

The other rational number is . 14

Step-by-step explanation:

a square blanket has an area of 64 square feet. find the length of one side of the blanket

Answers

Answer:

The length of one side of the blanket is [tex]8ft[/tex]

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a square shape.

In this problem we are expected to find the side of the square shape.

we know that the area of the square is expressed as

[tex]area= length * width[/tex]

but a square shape has all sides equal hence

[tex]area= length* length\\[/tex]

[tex]area= l^{2}[/tex]

substituting our area and squaring both side to find l we have

[tex]64= l^{2} \\l= \sqrt{64} \\l= 8 ft[/tex]

A science teacher collects 18 pints of lake water for a lab she is teaching. The lab requires each student to use 4 fluid ounces of lake water. If 52 students are participating, how many pints of lake water will the teacher have left over?

Answers

Answer:

The teacher will have 5 pints left.

Step-by-step explanation:

One pint has 16 fluid ounces, therefore if the teacher got 18 pints he has a total of:

lake water = 18*16 = 288 fluid ounces

If each student use 4 fluid ounces, and there are 52 students the class will use:

used = 52*4 = 208 fluid ounces

And the remainder will be:

remainder = 288 - 208 = 80 fluid ounces

remainder = 80/16 = 5 pints

The teacher will have 5 pints left.

I need help fast please I need help:)

Answers

Answer:

35 degrees

Step-by-step explanation:

a triangle has 180 degrees so 70 + 75 + x = 180

solve for it and you get 35 degrees.

Answer:

x = 35

Step-by-step explanation:

We know that the sum of all the angles inside a triangle is 180°. We can solve for x by setting up the simple equation x + 70° + 75° = 180°

You would then use subtraction to get x by itself by subtracting 70° and 75° from the left and right side of the equation.

This would leave you with the answer, x = 35°

Which solid figure has a base that is a polygon and triangular faces that meet
at a vertex?
A. Cone
B. Cylinder
O C. Prism
D. Pyramid

Answers

Answer:

D. Pyramid

Step-by-step explanation:

A. cone does not have any triangular faces

B. does not have any triangular faces either

C. Prism may have triangular faces if it is a triangular prism but they do not meet at a vertex

Therefore it must be D.

A pyramid is a solid has a base that is a polygon and triangular faces that meet at a vertex.

What is a pyramid?

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex. A pyramid is formed by connecting the bases to an apex.

Pyramids :-

A pyramid is defined as a three-dimensional structure encompassing a polygon as its base. The Great Pyramid of Giza, which is structured in the same concept. Every corner of this structure is linked to a single apex which makes it appear as a distinct shape.

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex. A pyramid is formed by connecting the bases to an apex. Each edge of the base is connected to the apex, and forms the triangular face, called the lateral face. If a pyramid has an n-sided base, then it has n+1 faces, n+1 vertices, and 2n edges.

Learn more about pyramids, click;

https://brainly.com/question/13057463

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At a sale, dresses were sold for $90 each. This price was 75% of a
dress's original price. How much did a dress originally cost?

Answers

Answer:

A dress originally costs $120

Step-by-step explanation:

To find the original cost of the dress, we will follow the steps below;

let x represent the original cost of the dress

75% of x  = $90

[tex]\frac{75}{100}[/tex]  ×    x   = $90

[tex]\frac{75X}{100}[/tex]  =   $90

MULTIPLY both-side of the equation by 100

[tex]\frac{75X}{100}[/tex] × 100 =   $90×100

At the right-hand side of the equation, 100 will cancel out 100, leaving us with just 75x

75x = $9000

DIVIDE both-side of the equation by 75

75x/75 = $9000/75

At the left-hand side of the equation 75 will cancel-out 75 leaving us with just x

x=  $9000/75

x = $120

A dress originally costs $120

If a aquadrilateral is equiangular, then it coul be a .....
Multiple choice. A. square
B.rectangle
C.rhombus
D.parallelogram​

Answers

Answer:

Square

Answer A is correct

Answer:

A- square is the answer

Triangle


A



B



C




is the image of

Triangle

A

B

C

under a rotation about point

Q
Determine the angle of rotation


A:-165 degrees

B:-120 degrees

C:165 degrees

D:120 degrees

Answers

Answer:

The correct answer is 120.  Thank me later.

Step-by-step explanation:

Bob Tina and Hadley went running. Bob ran for 3/8 hour, Tina ran for 3 4/9 hours, and Hadley ran for 4 19/29 hours. Which running times can be written as improper fractions

Answers

Answer: 3 4/9 and 4 19/29

Step-by-step explanation: Mixed fractions can be converted into improper fractions. Example: 3 1/2=

3×2+1= 7/2

So, 3 4/9= 3×9+4= 31/9

4 19/29= 4×29+19= 135/29

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An improper fraction is one in which the numerator is bigger than the denominator, which means the value of the fraction is more than ' 1 ' .

Bob petered out after only 3/8 of an hour. This number is less than ' 1 ', so if it's left in the form of hours, it can't be an improper fraction.  If Bob wants his effort to look more impressive, he might try to describe his performance as 22.5 minutes. THAT number could be written as an improper fraction, (45/2 minutes), but somebody would be sure to notice his trick, and they would laugh at him.

Tina and Hadley both ran longer than 1 hour, so both of them could write their times directly as improper fractions, without any deceptive monkey business.

Tina . . . 3-4/9 hours . . . 31/9 hours

Hadley . . . 4-19/29 hours . . . 135/29 hours    

state whether -4^{2} and (-4)^{-2} represent the same quantity. Explain.

Answers

Answer:

No

Step-by-step explanation:

-4^2 is -4 * 4 = -16

(-4)^2 = (-4) * (-4) = 16

I need to find the value of X.

Answers

Answer:

44

Step-by-step explanation:

because it looks like a square tilted

The graph of quadratic parent function f was transformed to create the graph of
g(x) = f(x + 2) - 5. Which graph best represents g?​

Answers

Answer:H

Step-by-step explanation:

Y= (x+2)^2-5

2 to the left x+2=0 x=-2

5 dpwn

Answer:

h

Step-by-step explanation:

What is the surface area of the rectangular prism below?
15
A. 525 units2
B. 432 units2
C. 490 units2
D. 496 units2

Answers

Answer:

B ( 432 units^2)

Step-by-step explanation:

Total surface area= 2*(6*6)+ 4*(15*6)

There are 2 squares at each end of the same size so total area will be 2*(6*6)

If we look at the rectangles( bottom, top and the sides), we can see that all are of same dimensions and there are 4 of them so it's 4*(15*6)

In short, total surface area= 2*(6*6)+ 4*(15*6) = 432 units^2

Order the probability of each event from least (on top) to greatest (on bottom).

Answers

Answer:

The sum is less than 5

The sum is odd

The sum is not 7

The sum is not 12

Step-by-step explanation:

P(The sum is less than 5) = 6/36 = 1/6

P(The sum is odd) = 18/36 = 1/2

P(The sum is not 7) = 1 - 6/36 = 30/36 = 5/6

P(The sum is not 12) = 1 - 1/36 = 35/36

Answer:

The sum is less than 5

The sum is odd

The sum is not 7

The sum is not 12

Step-by-step explanation:

Asked 4 times, please help

Answers

Answer:

Denote the two points are A and B, the balloon is C. Then we have,

Side AB = 9 miles

Angle CAB (angle A) = 27 deg

Ange CBA (angle B) = 45 deg

=> Angle ACB (angle C) = 180 - 27 - 45 = 108 deg

Applying the sine theorem:

AB/sinC = BC/sinA

=> BC = AB x sinA/sinC = 9 x sin27/sin108 = 4.3 miles

Denote CH as the height from C to side AB (or distance from ground to balloon), we have:

CH  = BC x sin B = 4.3 x sin*45 = ~3.04 miles

=> Distance from ground to balloon: ~3.04 miles

Hope this helps!

:)

Answer:

3.0 miles

Step-by-step explanation:

Let h be the height

Tan(27) = h/b

h = btan(27)

Tan(45) = h/(9-b)

(9-b)tan(45) = h

(9-b)tan(45) = btan(27)

9tan(45) = b[tan(45) + tan(27)]

b = 5.962138633

h = btan(27) = 3.037861367

I need help with maths

Answers

Answer:

what's your question?

Step-by-step explanation:

why is the slope unidentified for vertical lines

Answers

Answer:

see below

Step-by-step explanation:

Vertical lines have the same x coordinates

The slope is given by

m = (y2-y1)/(x2-x1)

The x values are the same

m = (y2-y1)/(x-x)

m = (y2-y1)/ 0

Any number, except 0, divided by 0 is undefined

Vertical lines have the same x coordinate and the formula for a slope is y2-y1 divided by x2-x1
Let's just say , for example, that the x value is 7.
7-7=0
So, if the x values are the same, the denominator of the fraction becomes zero.
And, mathematically speaking, a fraction with a denominator of zero doesn't exist.

An exterior angle of a regular polygon is 72°.
(i) what is the size of each interior angle of the polygon?
(ii) Find the number of sides of the polygon.

Answers

Answer:

Exterior angle = 72⁰

As polygon is regular , each interior angle = 180⁰ - 72⁰ = 108⁰

Number of sides :

As the sum of exterior angles is 360⁰ :

n × 72⁰ = 360⁰

n = 360/72 = 5

The answer is 5
.....

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A: (2, -6) B: (5, -6) C: (5, -2) D: (2, -2). What is the perimeter of ABCD.

Answers

I honestly don’t even know bro like 46454 maybe ion know

Answer:

14

Step-by-step explanation:

Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.

P = 2(l + w)

P = 2(3 + 4)

P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)

P = 14 units and 14 units.

You could also do addition.

P = 3 + 3 + 4 + 4

P = 6 + 8

P = 14 units

Hope this helped!

Evaluate the expression m÷n for m=2 and n=14.

Answers

Answer:

1/7

Step-by-step explanation:

Plug in 2 for m, and 14 for n in the expression:

m/n = 2/14

Simplify. Factor out common factors from both the numerator and denominator:

(2/14)/(2/2) = 1/7

1/7 is your answer.

~

Answer:

1/7

Step-by-step explanation:

2/14= 1/7

hope this helps

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