The volume of a cylinder is expressed by the formula V = 3.14 × r²h, where V stands for volume, r is the radius, and h is the height of the cylinder. Suppose the volume of a cylinder is known to be 141.3 m³ and its height is 5 m. Find the radius.

Answers

Answer 1

Answer:

The radius is 3 meters.

Step-by-step explanation:

[tex]\pi {r}^{2} (5) = 141.3[/tex]

[tex] {r}^{2} = \frac{141.3}{5\pi} [/tex]

[tex]r = 3[/tex]


Related Questions

You roll two fair number cubes what is the probability that the sim of your rolls is 5 or higher

Answers

The probability that the sum of your rolls is 5 or higher is 13/18

How to determine the probability?

In a roll of two fair die, we have the following parameters:

Sample size, n = 36Sum of 5 or higher = 26

So, the probability is:

P = 26/36

Simplify

P = 13/18

Hence, the probability that the sum of your rolls is 5 or higher is 13/18

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Solve the following system:
3x + 2y = 7
-4.5x - 3y = -10.5

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

The system of equations :

3x + 2y = 7-4.5x - 3y = -10.5

Multiplying Equation 1 times 3 and Equation 2 times 2 :

9x + 6y = 21-9x - 6y = -21

Putting the equations in standard form after simplifying :

6y = -9x + 21 ⇒ y = -1.5x + 3.5-6y = 9x - 21 ⇒ y = -1.5x + 3.5

As both equations are the same, the system will have infinitely many solutions.

What is the area, in square centimeters, of the shape below?

Answers

Answer:

8.5 sq cm

Step-by-step explanation:

5x3.4=17÷2=8.5

Please help me on this!

Answers

Answer:

B. f(x) = 176x + 10,580

Step-by-step explanation:

The y-intercept is about 10,580.

The slope is about 176

You can get the slope by subtracting 10925-10600 and then dividing the answer by 2

Someone please help me with this!!! (20 points)

Answers

Answer:

Step-by-step explanation:

7[tex]a^{2}[/tex] - 2a + 6  - ( -5[tex]a^{2}[/tex] + 3 )

7[tex]a^{2}[/tex] - 2a + 6 + 5[tex]a^{2}[/tex] - 3

12[tex]a^{2}[/tex] -2a +3

Answer:

[tex]\bf 5a^2+5a+3[/tex]

Step-by-step explanation:

[tex]\sf \left(7a-2a+6\right)-\left(-5a^2+3\right)[/tex]

[tex]\sf 7a-2a+6-\left(-5a^2+3\right)[/tex]

Combine like terms:-

[tex]\sf 5a+6-\left(-5a^2+3\right)[/tex]

Apply Distributive property:-

[tex]\sf 5a+6+5a^2-3[/tex]

Comnine like terms:-

[tex]\sf 5a^2+5a+6-3[/tex]

[tex]\sf 5a^2+5a+3[/tex]

The diagram shows a solid cylinder made of metal.
The metal has a mass of 800 kg.
Calculate the density of the cylinder in kg/m³.
Round to 1 dp.
4 m
12 m

Answers

Answer:

1.3kg/m^3

Step-by-step explanation:

Volume of cylinder=πr^2h

V=πx4^2x12

V=192π

192π=603.186m^3

Density=Mass/volume

D=800/603.186

D=1.3

helpppppppppppppppp 88 points

Answers

Answer:

20 in²

Step-by-step explanation:

Divide the shape into two rectangles (see attached image)

Area of a rectangle = width × length

Area of rectangle 1

⇒ area = 2 × 3

            = 6 in²

Area of rectangle 2

⇒ area = (5 - 3) × 7

            = 2 × 7

            = 14 in²

Total area

Total area = area of rectangle 1 + area of rectangle 2

                 = 6 + 14

                 = 20 in²

Area of vertical rectangle:-

LB5(2)10in²

Area of horizontal rectangle

LB5(5-3)5(2)10in²

Total:-

10+1020in²

HEEEEELPPPPP Please help, last question will mark brainliest

Answers

Answer:

B

Step-by-step explanation:

y+1>2(x-2)

distribute the right side

y+1>2x-4

minus 1 on both sides

y>2x-5

slope is 2/1

y intercept is -5

> means dotted line and shaded in to the left

:)

You invest $500 into an account that collects 1% interest each month. If you add an additional $50 each week, what will the balance of the account be after 5 months?

Answers

Answer:

$1555.91

Step-by-step explanation:

First Month:

You start out with $500.

You add $200 in the first month, and have 700.

Multiply 700 by 1.01, to add the interest and you get 707.

Second Month:

707 + 200 = 907

907 x 1.01 = 916.07

Third Month:

916.07 + 200 = 1116.07

1116.07 x 1.01 = 1127.2307

Fourth Month:
1127.2307 + 200 = 1327.2307

1327.2307 x 1.01 = 1340.503007 (round to .50)


Fifth Month:

1340.50 + 200 = 1540.50

1540.50 x 1.01 = 1555.905

Round to 1555.905 1555.91, and there's your answer. Hope this helps!

Which equation is true? 9x2 – 25 = (3x – 5)(3x – 5) 9x2 – 25 = (3x – 5)(3x 5) 9x2 – 25 = –(3x 5)(3x 5) 9x2 – 25 = –(3x 5)(3x – 5).

Answers

Answer:

9x² - 25 = (3x - 5)(3x + 5)

Step-by-step explanation:

(a + b)(a - b) = a² - ab + ab - b² = a² - b²

a² - b² = (a + b)(a - b)

y = 4.x - 5
Y = 2x + 3
Is (4, 11) a solution of the system?

Answers

Answer: YES

Solution:
4x-5=2x+3
2x-8=0
X=4
Y=8+3=11

Find the measure of each angle in the problem. MG contains point T.

A. 100 and 80
B. 95 and 85
C. 50 and 40
D. 60 and 120

Answers

Answer:

A

Step-by-step explanation:

the angles are adjacent angles on a straight line and sum to 180°, so

5x + 4x = 180

9x = 180 ( divide both sides by 9 )

x = 20

then

∠ MTQ = 5x = 5 × 20 = 100°

∠ GTQ = 4x = 4 × 20 = 80°

Rewrite the radical expression as an expression with a rational exponent.
4x5
О
x20
х
It don’t like these problems

Answers

Answer:

The first option.

Step-by-step explanation:

Use the base law of exponents, which states that (x^m)^n equals x^(m * n).

A(x)=x(50-x)
When is A(x) at its maximum?

Answers

Answer:

When X = 25

Step-by-step explanation:

Use derivative = 0 to locate the turning point

50 - 2X = 0 => X = 25

What is the width of a rectangle with a length of
5/6 feet and an area of 2 square​ feet?

Answers

Answer:

2.4 feet

Step-by-step explanation:

[tex] \frac{5}{6} w = 2[/tex]

[tex]w = 2 \times \frac{6}{5} = \frac{12}{5} = 2.4[/tex]

COULD YOU GUYS HELP ME WITH THIS I NEED IT UNTIL TOMMORROW.​

Answers

Answer:

2) option (d)

3) option (c)

4) option (b)

5) option (b)

6) option (a)

What divided by 8 to equal 3

Answers

Answer:

Nothing

Step-by-step explanation:

You can't divide 8 to equal 3 because 3 is an odd number and 8 is an even number.

:)

what does the dats suggest

Answers

Answer:

the bigger the handspan the more jolly ranchers they can pick up with one hand

Step-by-step explanation:

Sixty-four students buy their lunch at school. This is 16% of the total students.
How

many students are in the school?

Answers

Answer:

400 students

Step-by-step explanation:

64 - 16%

? - 100%

(100*64)/16

= 400

Answer answer please answer

Answers

is equal to

=

hope it helps...!!!

Answer:

Your answer would be C, =

Step-by-step explanation:

I got the answer wrong so go off of the other persons.

anyone knows the answer?! ​

Answers

Answer: 1.3

Step-by-step explanation:

a toll box has 10 screwdrivers and 6 wrenches Bella puts 8 more wrenches in the toolbox how many more wrenches are in the toolbox

Answers

Answer: There are 4 more wrenches in the toolbox than the screwdrivers.

Step-by-step explanation: Add the 6 wrenches Sid put in the toolbox with the 8 wrenches Bella added to get 14 wrenches in total. Then, subtract the 10 screwdrivers from the 14 wrenches to get 4 wrenches.

Consider the division of 8y2 – 12y + 4 by 4y.





What are the values of a and b?

a = 2y and b = 3
a = and b = –3y
a = 2y and b = –3
a = and b = 3y

Answers

Notice that the dividend [tex]8y^2-12y+4[/tex] has tree terms with [tex]a=8y^2[/tex], [tex]b=-12y[/tex], c [tex]c=4[/tex]

Now, to divided our dividend [tex]8y^2-12y+4[/tex] by the monomial (single term) [tex]4y[/tex], the easiest thing to do is divide each term of the dividend by the monomial:

[tex]8y^2-12y+4[/tex] ÷ [tex]4y[/tex] = [tex]\frac{8y^2-12y+4}{4y}=\frac{8y^2}{4y}-\frac{12y}{4y}+\frac{4}{4y}=2y-3+\frac{1}{y}[/tex]

After performing the division we get that now [tex]a=2y[/tex] and [tex]b=-3[/tex]

We can conclude that the correct answer is a = 2y and b = –3

How do I find the period, amplitude, midline, and vertical shift. I'm very confused.

Answers

Answer:

in the following diagram DE=6m,EG=10m,FG=8

calculate the length of the following

DG

Four circles, each with a radius of 2 inches, are removed from a square.
Four circles, each with a radius of 2 inches, are removed from a square. What is the remaining area of the square?

(16 – 4π) in.2
(16 – π) in.2
(64 – 16π) in.2
(64 – 4π) in.2

Answers

Given:

Given that the radius of the circle is 2 inches.

We need to determine the area of the remaining square.

Area of a square:

Given that each circle has a radius of 2 inches.

Then, the diameter of each circle is 4 inches.

Hence, the side length of the square is 2 × 4 = 8 inches.

The area of the square is given by

[tex]A=s^2[/tex]

[tex]A=8^2[/tex]

[tex]A=64[/tex] [tex]in^2[/tex]

Thus, the area of the square is 64 square inches.

Area of the four circles:

The area of one circle is given by

[tex]A=\pi r^2[/tex]

Substituting r = 2, we have;

[tex]A=4\pi[/tex]

Thus, the area of one circle is 4π in²

The area of 4 circles is 4 × 4π =16π in²

Hence, the area of the 4 circles is 16π in²

Area of the remaining square:

The area of the remaining square is given by

Area = Area of the square - Area of four circles.

Substituting the values, we get;

[tex]Area=64-16\pi[/tex]

Thus, the area of the remaining square is (64 - 16π) in²

Hence, Option c is the correct answer.

Answer:

C. (64 – 16π) in.2

Step-by-step explanation:

can someone help me with this question? Thank you!

Answers

Answer:

See the attachment!

Gio has a balance of $3,230 on his credit card that has a Apr of 22%. He pays the current of $105.. if gio wants to pay off his balance in 24 months, determine the monthly payment.

The minimum payment is enough to pay off the balance in 24 months.
B. Gio can eliminate $62.57 from Entertainment/Shopping
C. Gio can eliminate $167.57 from Entertainment/Shopping
D. Gio can eliminate $105 from Entertainment/Shopping

Answers

In order to achieve his goal of paying the credit debt off in 24 months, B. Gio can eliminate $62.57 from Entertainment/Shopping.

What amount will Gio pay to eliminate the debt in 24 months?

If Gio is paying $105, the number of months that he will be able to pay back the debt in, can be found using credit card debt calculators to be 3 years and 10 months.

In order to pay back his credit card debt in 24 months, the minimum amount he needs to pay is:

= $167.57 per month

Considering that he is currently paying $105, the amount extra that he needs to pay is:
= 167.57 - 105

= $62.57

This can be acquired from Entertainment/ Shopping.

In conclusion, option B is correct.

Find out more on credit card repayment at https://brainly.com/question/1891029.

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3(5m + 2) - 20m - 14 + 5

Answers

Answer:

-5m-3

Step-by-step explanation:

step 1 Collect like terms.

3(5m+2)-20m+(-14+5)

step 2 Simplify.

3(5m+2)-20m-9

step 3 Expand by distributing terms.

15m+6-20m-9

step 4 Collect like terms.

(15m-20m)+(6-9)

step 5 Simplify.

-5m-3

Answer:-5m - 3

Step-by-step explanation:

1) Distribute

3(5m + 2) - 20m - 14 + 5

15m+6 - 20m - 14+5

2) Add the numbers

15m+6 - 20m- 14+5

15m-3 - 20m

3) Combine like terms

15m - 3-20m

Answer

-5m - 3

Hope this helps

Bobby has a party while his parents are away for the weekend. Bobby estimated that if his 9 friends hep him to clean the house, they will finish in time if they start 8 hours before his parents return. But after only two hours of cleaning, Bobby's parents call and say they are just two hours from home. How many more friends does Bobby need to call to help finish cleaning in time.

Answers

Bobby will need additional 20 friends to help finish cleaning in time.

Rate at which Bobby and his 9 friends are working

The rate at which Bobby and his 9 friends are cleaning the house is determined as follows;

10 person ------> 8 hours

1 person -------->?

= 10 x 8 = 80 hours/person

When the parents are 2 hours from the house, Bobby will more friends working at the same rate to complete it in 2 hours time.

During this period Bobby and his friends have worked for 2 hours remaining 6 hours.

New rate;

10 person ------> 6 hours

1 person -------->?

1 person = 10 x 6 hrs = 60 hours per person

Total persons that will do the same work in 2 hours

2 = 60/x

x = 60/2

x = 30 persons

Thus, Bobby will need additional 20 friends to help finish cleaning in time.

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A bag contains 2 red marbles, 4 blue marbles and 8 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be blue?

Answers

Answer:

0.1

Step-by-step explanation:

total number of marbles= 2+4+8=14 marbles

probability of getting 2blue

= 4/14×3/13= 4×3/14×13=12/182= 0.06593

to the nearest tenth= 0.1

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