What is the volume of a cylinder with a height of 10 inches if the area of its base is 40 square inches?
400 in3
1,256 in3
4,000 in3
12,560 in3

Answers

Answer 1

Answer:

400 in³

Step-by-step explanation:

Height (h) = 10 in

Base Area [tex] \sf (A_B) [/tex] = 40 in²

Formula of Volume of Cylinder:

[tex] \boxed{ \bf{V = A_Bh}}[/tex]

By substituting values in the equation, we get:

[tex] \rm \longrightarrow V = 40 \times 10 \\ \\ \rm \longrightarrow V = 400 \: {in}^{3} [/tex]

Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

what equation is equal to (2x -3y + 5z) - (-4x -y +8z)?

Answers

Answer:

Step-by-step explanation:

(2x -3y + 5z) - (-4x -y +8z)

6x-2y-3z  combine terms With the - in between, it changes the signs to the opposite in the second ()

What is the length of side s of the square shown below? A. 2 B. 4√2 C. 1 D. 4. E. 8√2F. √8​

Answers

Answer:B

Step-by-step explanation:just took it

Help please!!!

12x + 6y= 162
2x + 10y= 126

Solve using system of equations. Show all work

Answers

Answer:

(8, 11)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

12x + 6y = 162

2x + 10y = 126

Step 2: Simplify systems

2x + y = 27

x + 5y = 63

Step 3: Rewrite systems

2x + y = 27

x = 63 - 5y

Step 4: Solve for y

Substitute in x:                        2(63 - 5y) + y = 27Distribute 2:                            126 - 10y + y = 27Combine like terms:               126 - 9y = 27Isolate y term:                         -9y = -99Isolate y:                                  y = 11

Step 5: Solve for x

Define equation:                    x + 5y = 63Substitute in y:                       x + 5(11) = 63Multiply:                                  x + 55 = 63Isolate x:                                 x = 8

Answer:

x = 8 and y = 11

Step-by-step explanation:

solve for y

12x + 6y = 162

-12x          -12x

6y = 162 - 12x

/6             /6  

y = 27 - 2x

substitute

2x + 10(y) = 126

2x + 10(27 - 2x) = 126

2x + 270 - 20x = 126

-18x + 270 = 126

       -270    -270

-18x = -144

-18        -18

x = 8

substitute again:

y = 27 - 2(x)

y = 27 - 2(8)

y = 27 - 16

y = 11

Three students have started a fence-painting business. Working together, Pragnesh and Qazi can paint the fence in 2 hours. Similarly, Pragnesh and Ronghui can paint the fence in 3 hours when they work together. Finally, when Qazi and Ronghui work together, they can paint the fence in 4 hours. How long would it take if all three students worked together to paint the fence.

Answers

Answer:

in about 0.92 hours or 55.2 minutes

Step-by-step explanation:

The time they take to paint the room:

Pragnesh and Qazi  = 2 hours

Pragnesh and Ronghui = 3 hours

Qazi and Ronghui = 4 hours

Meaning, each hour (1)  they'll paint:

Pragnesh and Qazi  =  [tex]\frac{1}{2th}[/tex] of the room

Pragnesh and Ronghui = [tex]\frac{1}{3th}[/tex] of the room

Qazi and Ronghui = [tex]\frac{1}{4th}[/tex] of the room

By summing all their work abilities we can determine how long it would take if all three students worked together to paint the fence, which is:

[tex]\frac{1}{2} + \frac{1}{3} + \frac{1}{4} = \frac{13}{12th}[/tex] of the room each hour. Therefore the whole (1) room would be painted in 1 ÷ [tex]\frac{13}{12}[/tex] = [tex]\frac{12}{13} hours[/tex] or 0.92 hours or 55.2 minutes (0.92 * 60).

It costs $2.60 to buy a 1/2 pound of gummy worms. How much would it cost to buy 2.25 pounds?

Answers

Answer:

Step-by-step explanation:

Answer:It would cost $11.70 for 2.25 pounds of gummy worms.

Step-by-step explanation:

$2.60*4=$10.40 for 2 pounds

$2.60/2=$1.30 for 1/4 of a pound which is equal to 0.25

$10.40+$1.30=$11.70 for 2.25 pounds of gummy worms

plz answer...........................................................

Answers

Answer:

x ➡️ ×3 ➡️÷ 2 ➡️ - 4 ➡️ × 6 ➡️ 30

6⬅️ ÷3 ⬅️× 2 ⬅️ +4 ⬅️ ÷6 ⬅️ 30

x=6

Answer:

x=3.76 (3.7 recurring rounded to 2 decimal places)

x= [tex]\frac{34}{9}[/tex]

Step-by-step explanation:

You follow the simple steps of finding the value of a variable in an equation by doing PEMDAS/BOMDAS backwards

[tex]6(\frac{3x}{2}-4)=30[/tex]

[tex]6(\frac{3x}{2}-4+4)=30+4[/tex]

[tex]6(\frac{3x/3}{y})=\frac{34}{3}[/tex]

[tex]6(2\frac{x}{2})=2\times11.3 recurring[/tex]

[tex]\frac{6x}{6} = \frac{22.6}{6}[/tex]

[tex]x=3.76\\x=\frac{34}{9}[/tex]

Plz help, ik it's easy, but i'm terrible at math. I might give brainliest tho....
(just look at the pic and give right answer and a detailed explanation plz! :)

Answers

Answer:

6

Step-by-step explanation:

Remember PEMDAS. This will help you a lot in algebra.

P Parenthesis

E Exponents

M Multiplication

D Division

A Addition

S Subtraction

This is the order of how all the operations should take place.

Note: Multiplication and Division happen together. Just go from left to right. This is the same for Addition and Subtraction.

Onto the problem!

First, look at PEMDAS.

P stands for Parenthesis so first we look for those.

In this case, we have a set here. Solve whatever is inside.

[tex]\frac{1}{2}*(4+8)[/tex]

[tex]\frac{1}{2}*(12)[/tex]

Next, look for Exponents. There aren't any in this expression, so we're okay to move on.

Now, look for Multiplication or Division.

[tex]\frac{1}{2}*(12)[/tex]

[tex]6[/tex]

The answer is 6.

I really hope this helped you! Asking for help is a great first step in math! Keep at it and I'm sure you'll succeed. :)

Answer:

6

Step-by-step explanation:

If you help me on this god bless you, I NEED HELP !

Answers

Answer:

givenadditive property of equalitysegment addition postulatesegment addition postulatetransitive property

Step-by-step explanation:

In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

transitive property,  If a = b and b = c, then a = c.

Segment Addition Postulate Defined. The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.

I hope this was good enough for you:

Please help ASAP!! Answers are appreciated!!

Answers

The answer is M is about -3.74

Help asap now now ok thx

Answers

Ok, so you got the parent function y = x^2 and it changed to y = x^2 -8

#'s inside the parenthesis would move it left or right and #'s outside the parenthesis would move it up or down. Since there are no parenthesis the x coordinate is 0, hence it doesn't move left or right. Because of this we know that the graph will be moved up or down. Now we look to see is the # negative or positive. If negative, we move it down. If positive, we move it up. Looking at this problem, we see that it will move it down. Next look at the #. This will indicate how much you will move the graph. In this problem, we will move the graph down 8.

Therefore,

When you change the graph y = x^2 to y = x^2 -8, you are moving the graph down 8.

Answer: So if the equation change the graph as y=x^2-8 the graph will move 8 points down.

Step-by-step explanation:

Help please if you don’t know don’t answer thank you so much

Answers

Answer:

Step-by-step explanation:

1). Replace one equation with a multiple of itself.

2x + 7y = 3 ⇔ 4(2x) + 4(7y) = 4(3)

2). Yes, systems are equivalent.

Two different buses start their routes at the same corner at 9 A.M. Buses from one route stop at the library every 9 minutes. Buses from the other route stop at the library every 12 minutes. In what number of minutes will both buses end up at the library?

Answers

Answer: In 36 minutes both buses will end up at the library.

Step-by-step explanation:

Given: Buses from one route stop at the library every 9 minutes.

Buses from the other route stop at the library every 12 minutes.

The number of minutes in which both buses will end up at the library= LCM(9,12)

Now , 9= 3 x 3

12= 2 x 2 x 3

LCM(9,12) = 2 x 2 x 3 x 3 = 36

Janet is comparing prices of bottled water. One bottle of water costs $1.92 and contains 12 ounces. Another bottle of water costs $2.40 and contains 16 ounces. Which bottle of water costs less per ounce?

Answers

Answer:

The 16 ounce bottle is the cheapest costing only .15 cents per ounces wile the 12 ounce bottle costs .16 cents and ounce.

Step-by-step explanation:

Answer:

The Bottle that cost $2.40

Step-by-step explanation:

You divide the cost by the number of ounces to get the the cost per ounce

You do that to both bottles

The bottle with the less amount of money per ounce is the answer

Bottle that is $1.92 = $0.16 a ounce

Bottle that is $2.40 = $0.15 a ounce

Ill give brainlest pls help

Answers

Answer:

It is C

Step-by-step explanation:

To get the new coordinates you would move the shape up the y-axis 8 times, and right on the x-axis 8 times as well.

Answer:

C

Step-by-step explanation:

You can either compare two similar points or just count the units on the graph

Mike walks ½ a mile in ¼ of an hour. What is his speed in miles per hour?

Answers

Answer: 2 miles per hour

Step-by-step explanation:

Kori and Rebecca are 198 miles apart, traveling towards each other. If Rebecca travels 19mph and Kori travels 14 mph how long until they meet?​

Answers

19 mph + 14 mph = 33 mph

198 miles / 33 mph = 6 hours

It will take them 6 hours to meet.

im pretty sure it's 6 hours

hopefully you get it right :)

what’s the slope of (3,5) and (6,7)

Answers

Answer:

[tex]m=\frac{2}{3}[/tex]

General Formulas and Concepts:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define points

(3, 5)

(6, 7)

Step 2: Find slope m

Substitute:                       [tex]m=\frac{7-5}{6-3}[/tex]Subtract:                          [tex]m=\frac{2}{3}[/tex]

m = y2 - y1 / x2 - x1

substitute values (3,5) , (6,7)

m = 7 - (5) / 6 - (3)

simplify

m = 2/3

can someone please help me with this equation

Answers

Answer:

0.4 times .7 equals .28. So e = .7

Step-by-step explanation:

If BCDE is congruent to OPOR , then De is congruent to

Answers

Then DE is congruent to QR

What number is equivalent to 4/3

Answers

Answer:

9/12

Step-by-step explanation:

trust meh im right

Answer:

Is there any answer choices?

Step-by-step explanation:

Here some examples though:

8/616/1212/9

Solve: (7+5i) + n =0, what's n? What
property is this?
Hurry please need it.

Answers

Answer:

n = -7-5i

Step-by-step explanation:

This is the inverse property of addition

Jeff got a 23/25 on his first math test, a 93% on his second test, and a 0.89 on his third test. Which of the following orders his scores from least to greatest?

Answers

Answer:

44554

Step-by-step explanation:

Letang Industrial Systems Company (LISC) is trying to decide between two different conveyor belt systems. System A costs $280,000, has a four-year life, and requires $85,000 in pretax annual operating costs. System B costs $360,000, has a six-year life, and requires $79,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Whichever project is chosen, it will not be replaced when it wears out. The tax rate is 23 percent and the discount rate is 10 percent.

Answers

We have to calculate the EAC for both the conveyor belt system.

Solutions :

Equivalent Annual Cost or (EAC) for the SYSTEM-A

[tex]$\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times $[/tex]tax rate )

                                [tex]$=-855,000(1-0.23)+\left[\left(\frac{280,000}{4}\right)\times 0.23\right]$[/tex]

                               [tex]$= (-85,000 \times 0.77 ) + (70,000 \times 0.23)$[/tex]

                               = $ 49,350

Year      Annual Cost flow     Present value factor    Present Value of Annual

                                                     at 10%                              cash flow

1                    -49,350                  0.909091                          -44,863.64

2                  -49,350                   0.826446                          -40,785.12

3                   -49,350                  0.751315                            -37,077.39

4                   -49,350                 0.683013                         -33,706.71  

     Total                                    $ 3.169865                       $ -156,432.86  

Therefore, Net Present value = present value of the annual cash flow - initial investment.

           = 156,432.86 - 280,000

          = $ 436,432.86 (negative)

Now the EAC or the Equivalent Annual Cost for System A :

[tex]$\text{EAC}= \text{Net present value / (PVIFA 10 percent, 4 years)}$[/tex]

        [tex]$=\frac{436,432.86}{3.169865}$[/tex]

        [tex]$= 137,681.86 $[/tex] dollar (negative)

[tex]$\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times $[/tex]tax rate)

[tex]$=79,000(1-0.23)+\left[\left(\frac{360,000}{6}\right) \times 0.23\right]$[/tex]

[tex]$=(-78,000 \times 0.77)+(60,000 \times 0.23)$[/tex]

= -$ 47,030

Year      Annual Cost flow     Present value factor    Present Value of Annual

                                                     at 10%                              cash flow

1                    -47,030                  0.909091                          -42,754.55

2                  -47,030                   0.826446                          -38,867.77

3                   -47,030                  0.751315                           -35,334.34

4                   -47,030                 0.683013                            -32,122.12

5                  -47,030                  0.620921                            -29,201.93

6                  -47,030                 0.564474                            -26,547.21  

    Total                                     $ 4.355261                       $  -204,827.91

Net Present Value = Present Value of annual cash inflows – Initial Investment

[tex]$= 204,827.91 - 360,000$[/tex]

= -$ 564,827.91 (negative)

EAC for system B:

Equivalent Annual Cost for system B [tex]$=\frac{\text{net present value}}{\text{PVIFA 10 \text percent, 6 years}}$[/tex]

[tex]$=\frac{-564,827.91}{4.355261}$[/tex]

= -$129,688.66 (negative)

Give brainliest but hurry!! Which of the following is a false statement?
1. 1/2 (AB) = AM
2. 1/2 (AB) = MB
3. AM = MB
4. CD = AB

Answers

Answer:

I believe the answer is 3. AM = MB

Step-by-step explanation:

For the first option, 1/2 of AB is obviously equal to AM. Therefore, the second option is also correct.

As far as the fourth option, CD equals AB since a compass was used to gather the points, ensuring they are equidistance.

what is 6x + 9^3 factorsied

Answers

Step-by-step explanation:

hope it's help u jajajn s

Jen wrapped a gift that was six inches wide and ten inches tall. The volume of the box was 120 inches. What was the length of the box?

Answers

Answer:

2

Step-by-step explanation:

120 divided by 60 = 2. The length of the box is 2 inches. This can be proven through substitution: 120 = 6 x 10 x 2.

What is 7+0?????????????????

Answers

21 21 21......... im gonna write to take up space random dumb thingz tingz hee bhee

Determine which postulate can be used
to prove that the triangles are congruent.
If it is not possible to prove congruence,
write not possible.

Answers

Answer:

SAS postulate

Step-by-step explanation:

The triangles have two congruent sides and one congruent angle. The congruent angle is the included angle. This meets SAS criteria.

Hope this helps :-)

-24=2x+x+9
solve this make sure it's right thanks

Answers

Answer:

-24 = 3x + 9

-24 - 9 = 3x

-33 = 3x

-33/3 = x

-11 = x

x = -11

Add 9 to both sides

So

-15=2x

Divide both sides by 2

So

X=-7.5

Hope this helps!

If y = 4x, what is the value of 3y + 2(3y + 5) - x in terms of x?

Answers

Answer:

13/3

Step-by-step explanation:

3(4x)+6(4x)+30-x

39=9x

divide 9 on each side

x=13/3

yw if its right make me brainliest

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