A soda can is made out of aluminum. It is 12
centimeters tall and has a diameter of 7.5
centimeters. How many cubic units of soda
would be needed to fill the can?
(Use 3.14 as PI)

Answers

Answer 1

Answer:

529.875 [tex]cm^3[/tex]

I don't know if they want it rounded or not, but rounded it would be 529.88 or 529.9

Step-by-step explanation:

Find the volume of the can (cylinder):

h = 12 cm

d = 7.5 cm

r = 1/2d = 3.75 cm

[tex]V=\pi r^2h\\\\= (3.14)(3.75)^2(12)\\\\= 529.875[/tex]


Related Questions

Which of the following represents the factorization of the trinomial below?
x² - 8x - 48
A. (X-6)(x-8)
B. (X+6) (x-8)
C. (x-4)(x-12)
D. (x+4)(x-12)

Answers

The anser is d that what i think


Answer 15 points
( don’t answer if you don’t the answer )

Answers

Answer:

V=1/3hπr². Basically, 1/3 x height x 3.14 (pi) x radius squared.

Step-by-step explanation:

The formula of figure 2 would be 1/3 x 15 x 3.14 x 8 squared.  The volume of figure 2 would be 1005.30965

the formula for figure 3 would be 1/3 x 15 x 3.14 x 4 squared. The volume of it would be 251.32741

hope this helps! (Also please make me brainliest if this helps u :) )

Please help (;´༎ຶٹ༎ຶ`)

Answers

D, I’m pretty sure.




a line with a slope of 1 passes through the point (5,10). what is the equation in this slope-intercept form?

Answers

Answer:

y=x+5

Step-by-step explanation:

So first you need to plug everything into the point-slope formula which is

y-y1=m(x-x1)

m being the slope and y1 and x1 being the point (5,10)

So once you plug it in it should look like this: y-10=1(x-5)

Now you solve it

First you need to distribute 1 in 1(x-5) which is (x-5)

Now you have y-10=x-5

Then you add 10 to both sides which is y=x+5

Your answer is y=x+5

One of the tallest living trees today is the Mendocino Tree found at
Montgomery Woods State Park, California. Its height is about 11,200
centimeters. What is this height in scientific notation?​

Answers

Answer:

the height in scientific notation is 1.12 x 10^4 :)

5x - y = -7
X + y = -5

Answers

Answer:

x = -2

y = -3

Step-by-step explanation:

5x - y = -7

x + y = -5

6x = -12

x = -2

x + y = -5

-2 + y = -5

y = -5 + 2

y = -3

Answer:

(-2,-3)

Step-by-step explanation:

x + y = -5

y = -x - 5

5x - (-x - 5) = -7

5x + x + 5 = -7

6x = -12

x = -2

x + y = -5

-2 + y = -5

y = -3

Which of the equations below shows the relationship in the table?

Answers

Answer:

Im Sure its A

Step-by-step explanation:

Select all correct ways of factoring –3x – 9.

Answers

umm if u factor it u get
-3(x+3)

Answer:

Some possible expressions, since there's no answer choices provided:

-3(x + 3)

3(-x - 3)

Step-by-step explanation:

Expression 1:

This uses a GCF of -3, since -3x and -9 are divisible by this. Let's divide -3x and -9 by this first:

-3x / -3 = x

-9 / -3 = 3

So now, we can add these terms and multiply them by -3 to get our answer:

-3(x + 3)

And just to check, we can expand it:

-3x + -3(3) = -3x - 9

Expression 2:

This uses a GCF of 3, like the last one but it's negative. -3x and -9 are also divisible by this. Let's divide both terms by this GCF first:

-3x / 3 = -x

-9 / 3 = -3

Now, we can add these terms and multiply them by -3 to get our final answer:

3(-x - 3)

To check, once again:

-3x + 3(-3) = -3x - 9

Help pleas brainliest is insured if correct

Answers

Answer:

9 units

Step-by-step explanation:

because if the y-axis is 5 and the x-axis is 9, the line is 9 units.

2017 - Q13
13 Tivo identical number cubes are shown in the picture. The edge length of these number cubes
is 3 centimeters.
What is the combined volume of the two number cubes in cubic centimeters?
A 54 cm
B 18 cm
C 9 cm
D 27 cm

Answers

Answer:

Combined volume of the two number cubes = 54 cm³

Step-by-step explanation:

Given:

Side of a cube = 3 centimeter

Number of cubes = 2

Find:

Combined volume of the two number cubes

Computation:

If we combine two cube new figure will be a cuboid.

Length of new cuboid = 3 + 3 = 6 cm

Height of new cuboid = 3 cm

Width of new cuboid = 3 cm

Volume of cuboid = (l)(b)(h)

Combined volume of the two number cubes = (6)(3)(3)

Combined volume of the two number cubes = 54 cm³

is this quadrilateral a parallelogram? If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

yeah its parallelogram.

quadrilateral whose diagonal bisect each other are parallelogram .

Describe, in words, the process you would use to find w.

Answers

Answer:

w = 52°

Step-by-step explanation:

We know that the sum of the angle of a triangle is equal to 180 degrees

In this figure,

w+w+76 = 180

As w = w (Vertically opposite angles)

So,

2w = 180-76

2w = 104

w = 52

So, the value of w is equal to 52°.

I just need help with the graphing!

Answers

Answer:

solution is in attachment

hope it helps

A business shipped 106 packages one day. Customers are charged 4.50 for each standard delivery and 7.50 for each express delivery

Answers

The question is incomplete:

A business shipped 106 packages one day. Customers are charged 4.50 for each standard delivery and 7.50 for each express delivery. Total shipping charges for the day were $600.00. How many of each kind of package were shipped?

Answer:

The business  shipped 65 standard delivery packages and 41 express delivery packages.

Step-by-step explanation:

Since the business shipped 106 packages one day you can say that:

x+y=106, where:

x is the number of standard delivery packages

y is the number of express delivery packages

Also, you can say that the result of multiplying the price per each type of package for its amount and adding those would be equal to the total shipping charges for the day, which is:

4.50x+7.50y=600

So, you have the following equations:

x+y=106 (1)

4.50x+7.50y=600 (2)

Now, you can solve for x in (1):

x=106-y (3)

Then, you can replace (3) in (2) and solve for y:

4.50(106-y)+7.50y=600

477-4.50y+7.50y=600

3y=600-477

3y=123

y=123/3

y=41

Finally, you can replace the value of y in (3) to be able to find the value of x:

x=106-41

x=65

According to this, the answer is that the business  shipped 65 standard delivery packages and 41 express delivery packages.


A sphere with diameter of 12 cm is being painted. How much more paint is now needed to paint the sphere that has four times the original diameter.
4 times more paint
B 8 times more paint
16 times more paint
D 64 times more paint

Answers

Answer:

64 times more paint will be needed since the volume of the second is 64 times the volume of the first

Step-by-step explanation:

If the original sphere is 12 cm diameter

its radius will be half this measure which is 12/2 = 6 cm

The new diameter is 4 times this, so its radius would be 4 times this and it is 24 cm

Now, the volume of the sphere means we have to raise the power of the radius by 3

The other terms in the formula remains the same for both, so we are simply comparing the radii

so we will have the difference in volume in times of multiples as ;

(24/6)^3 = 4 * 4 * 4 = 64

The lengths of the sides of the triangle are 3, 8, and 10. Is the triangle a right triangle, acute triangle, or an obtuse triangle?

Answers

Answer:

Obtuse

Step-by-step explanation:

You have to make sure it is a triangle by adding the smallest and the medium sides, if the result is greater than the bigger side then it is a triangle. you then use the Pythagorean theorem to check if the triangle is a right triangle, acute, or obtuse. If [tex]c^{2}[/tex] = [tex]a^{2} +b^{2}[/tex] then it is a right triangle. If [tex]c^{2} >a^{2} + b^{2}[/tex] then it is an obtuse triangle. if [tex]c^{2} < a^{2} +b^{2}[/tex] then it is an acute triangle. [tex]10^{2}[/tex] _ [tex]3^{2} + 8^{2}[/tex] 9+64_100 70_100 70<100

in this case [tex]c^{2}[/tex] is greater than [tex]a^{2} +b^{2}[/tex] therefore, is it an obtuse triangle.

The population of Indiana showed an annual growth rate of 0.6% between 1998
and 1999. The population in 1999 was approximately 273,000,000. Based on this
model, find the population in 2007.

Answers

The population of Indiana in 2007 can be estimated by using the annual growth rate of 0.6% between 1998 and 1999 and the population in 1999, which was approximately 286,485,882.

To find the population in 2007, we need to calculate the growth from 1999 to 2007. We can do this by multiplying the population in 1999 by 1 plus the growth rate raised to the power of the number of years between 1999 and 2007.
Let's calculate step by step:
1. Calculate the number of years between 1999 and 2007: 2007 - 1999 = 8 years.
2. Calculate the growth rate per year: 0.6% = 0.006.
3. Calculate the population in 2007: 273,000,000 * (1 + 0.006)^8 = 273,000,000 * 1.048834 = 286,485,882 (approximately).
Therefore, based on this model, the population of Indiana in 2007 would be approximately 286,485,882.
For more similar questions on annual growth rate

brainly.com/question/30798879

#SPJ8

Solve the system of equations:

y = x + 2
y = x2 + 5x + 6

A.
(0, 2) and (2, 4)

B.
(–2, 0) and (–3, 0)

C.
(–2, 0)

D.
(0, 2)

Answers

Answer: C

Step-by-step explanation:

Since both equations are set equal to y, it follows that

[tex]x+2=x^2 + 5x+6\\\\x^2 +4x+4=0\\ \\ \\(x+2)^2 = 0\\\\x=-2\\\\\implies y=-2+2=0[/tex]

So, the solution is (-2, 0).

Determine the volume of the rectangular prism.​

Answers

Answer:

132in

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex]v = 4 \times 6 \times 5 \frac{1}{2} \\ v = 24 \times \frac{11}{2} = 132[/tex]

hope it helps

have a nice day

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

i dont know

Step-by-step explanation:

A: y = 1.5x
B: x = 1.5 + y
C: x = 1.75y
D: y = 1.75x

NO LINKS TY

Answers

picture won’t load!!

I NEED HELP!!!Please

Answers

Answer:

15.9

Step-by-step explanation:

O/A

Tan47=17/x

x=17/tan 47

Find the next three terms in the pattern: 7, 3,-1, -5, -9.... Then, describe the pattem.

Answers

Answer:

Next three terms are: - 13, - 17, - 21

Step-by-step explanation:

Evety time it decreases by 4.

Answer:

-13, -17, -21

Step-by-step explanation: keep subtracting 4

A jogger is running around a 3/4 mile track and is 2/3 of the way around the track. How far has the jogger traveled

Answers

Answer:

im literally doing the same exact thing right now

Step-by-step explanation:

somebody helpp and ty

Answers

Answer:

45 degrees

Its on the first bar in the 45 degree angle which is half of 90

Answer is 45 degrees

-7 2/3 + (-5 1/2) + 8 3/4 = ????

Answers

Answer:

-52/12 or -4 5/12

Step-by-step explanation:

hope this help there 2 ways

Answer:

-53/12 same as -4 4/12 same as -4,416

Step-by-step explanation:

convierte el numero mixto a una fracción impropia

-23/3 + (-5 1/2) + 8 3/4

cuando se encuentren un + en frente de una expresión dentro de un paréntesis, la expresión se mantiene igual

-23/3 - 5 1/2 + 8 3/4

convierte el numero mixto a una fracción impropia

-23/3 - 5 1/2 + 35/4

convierte el numero mixto a una fracción impropia

-23/3 -  11/2 + 35/4

calcula la suma o resta

-53/12

Find all the zeroes of polynomial 2x4
– 9x3 + 5x2 + 3x – 1 ,if two of its zeroes are 2 + √3 & 2 - √3

Answers

9514 1404 393

Answer:

  x ∈ {-1/2, 1, 2-√3, 2+√3}

Step-by-step explanation:

The given zeros mean that one of the quadratic factors of the given polynomial is ...

  (x -2)^ -3 = x^2 -4x +1

When that is factored out (see first attachment), the remaining quadratic is ...

  2x^2 -x -1

This can be factored as ...

  = (2x +1)(x -1)

which has roots that make these factors zero: x = -1/2, x = 1.

So, all of the zeros of the given polynomial are ...

  -1/2, 1, 2-√3, 2+√3 . . . all zeros

__

A graphing calculator can often point to the zeros of the function quite nicely.

_____

Additional comments

When p is a zero of a polynomial, (x-p) is a factor of it. The given zeros mean that factors are (x-2-√3) and (x-2+√3). The product of these factors is the difference of the squares (x-2)^2 and (√3)^2, so is (x -2)^2 -3.

Using the pattern for the square of a binomial, we see this is ...

  (x-2)^2 = x^2 -2·2x +2^2 = x^2 -4x +4

The product of the given factor is then 3 subtracted from this square. The given zeros mean there is a quadratic factor of ...

  (x-2-√3)(x-2+√3) = (x-2)^2 -3 = x^2 -4x +4 -3 = x^2 -4x +1

7. A rectangular prism measures 7 1/2 cm by 12 cm by 15 1/2 cm. a. Calculate the number of cubes with edge length cm that fit in this prism. b. What is the volume of the prism in cm3? Show your reasoning. If you are stuck, think about how many cubes with -cm edge lengths fit into .

Answers

Answer:

a.The number of cubes with edge length 1/2 cm that fit in this prism= 2520

b. Volume of the prism= 315 cm³

Step-by-step explanation:

Volume of the rectangular prism =  length *width * height

                                  = 7 1/2 * 12 * 15 1/2

                                  = 7 * 6* 15 1/2

                                  = 7*3*15

                                  = 315 cm³

Volume of the cube =  length *width * height

                                 = 1/2 *1/2 *1/2

                                   = 1/8 cm³

Now number of cubes that would fit in the rectangular prism is given by

   =  Volume of the prism/ Volume of the cubes

     = 315/1/8

      = 2520

The number of cubes with edge length cm that fit in this prism= 2520

20mm 10mm 10mm surface area

Answers

1200
good luckkkkkkkkkk

Solve the inequality for t.

11 ≤ t + 4

Simplify your answer as much as possible.

Answers

Answer:

t≥7

Step-by-step explanation:

11≤t+4

4 moves to the other side hence its sign changes

11-4≤t

7≤t

they change sides

t≥7

the sign was facing t so this does not change

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

11 ≤ t + 4  We are gonna simplify

Step 2

11 ≤ t + 4  simplify

t+4≥11

Step 3

t+4≥11  Subtract 4 from the sides

t≥7

So therefore, your answer will be t≥7

Hope this helps

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