What is the volume of the prism?

Enter your answer in the box as a mixed number in simplest form.
A rectangular prism with the width as three and a half feet, the length as two and a half feet and the height as one and a half feet. i need help

The volume of this right prism that has a triangular base is equal to 108 cubic meters.

Mathematically, the volume of a right prism is given by this formula:

V = L x W x H

Where:

Given the following data:

Length of base = 6 meters.

Width of base = 4 meters. cm.

Height of prism = 4.5 meters.

Substituting the given parameters into the formula, we have;

V = 6 x 4 x 5

V = 108 cubic meters.

Read more on volume of prism here: brainly.com/question/3867601

Answer: 54 m³

Step-by-step explanation: proof with more answers

Answer:

  3072

Step-by-step explanation:

The number of cells is initially 3 and is multiplied by 2 every time t increases by 1/2 hour. This means the exponential function describing the number of cells can be written ...

  y = (initial value) × (growth factor)^(t/(growth period)

  y = 3 × (2^(t/(1/2)) = 3×2^(2t)

After 5 hours, the number of cells will be ...

  y = 3×2^(2·5) = 3×2^10 = 3×1024

  y = 3072

There are 3072 cells in 5 hours.

_____

Additional comment

The function could be simplified to ...

  y = 3×4^t

Answer:

1,2,3

Step-by-step explanation:

1*8=8+4+12<28

2*8=16+4=20<28

3*8=24+4=28=28

Answer:

Im confused w ur question or i dont know maybe im just dum.b

Step-by-step explanation:

Answer:

0.25+0.6= 0.9166666667 or 11/12

Step-by-step explanation:

hope this helps

Answer:

3;4

Step-by-step explaining

do the first to ratios the 3rd doesnt matter

The equations that has a leading coefficient of 3, and a constant of -2 are:

0 = 3x² + 2x – 2

0 = –3x + 3x² – 2

0 = –1x – 2 + 3x²

A leading coefficient is the term that has the highest degree in a polynomial expression.

A constant is a term that has only numbers and contains no variable.

We are given the following equations:

The first, third, and last equations each has a leading coefficient of 3 and a constant of -2.

Therefore, the equations that has a leading coefficient of 3, and a constant of -2 are:

0 = 3x² + 2x – 2

0 = –3x + 3x² – 2

0 = –1x – 2 + 3x²

Learn more about leading coefficient on:

https://brainly.com/question/99237

Answer:

‍♂️

Step-by-step explanation:

Sry dunno the answer

Can u just give brainliest pls?

Answer:

9

Step-by-step explanation:

6      x

-   =   -

8      12

the relationship from 8 to 12 is divided by.666666666666

So, we do the same for 6

We get 9.

Answer:

find value of X and y and you can get answers

Answer:

It will take 16 cups to empty the sink with the blue cup and it will take 4 cups to empty the sink with the green cup.

I got this answer by doing the formula for a cylinder

Blue cup              Green cup

(π)(2^2)(8)         (π)(4^2)(8)

= 32π                  =128π

Then i divided them both by 512 and got the answer for the number of cupfuls it will take to empty the sink  

To empty the sink 16 cups it will take for the blue one and 4 cups it will take for the green cup.

It is given that Anthony's sink is shaped like a half-sphere, and it has a volume of 512π cubic inches.

It is required to find how many cupfuls of water to empty the sink.

It is defined as a three-dimensional space enclosed by an object or thing.

We have:

Sink volume V = 512π cubic inches

The blue cup diameter d(b) = 4 in or radius r(b) = 2 in          

and height h(b) = 8 in    

The green cup diameter d(g) = 8 in or radius r(g) = 4 in

and height h(g) = 8 in

The cup is the shape of a cylinder we know the volume of a cylinder is given by:

[tex]V = \pi r^2 h[/tex]

Volume for the blue cup:

[tex]\rm v(b) = \pi\times 2^2 \times 8[/tex]    [ r(b) = 2 in and h(b) = 8 in]

v(b) = 32π cubic inches

Volume for the green cup:

[tex]\rm v(g) = \pi\times 4^2 \times 8[/tex]   [r(g) = 4 in and h(g) = 8 in]

v(g) = 128π cubic inches

For a number of blue cups:

[tex]=\frac{512\pi}{32\pi}[/tex] ⇒ 16

For a number of green cups:

[tex]=\frac{512\pi}{128\pi}[/tex] ⇒ 4

Thus, to empty the sink 16 cups it will take for the blue one and 4 cups it will take for the green cup.

Learn more about the volume here:

https://brainly.com/question/16788902

Answer: B. 1178 cm²

What we are solving for:

   The lateral area is, put simply, the surface area of the cone not including the bottom.

    The formula is:

L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]

Height of the cone:

    This calls for the height, since it is a right triangle we can use the Pythagorean theorem to solve.

a² + b² = c²

15² + b² = 25²

225 + b² = 625

b² = 400

b = [tex]\sqrt{400}[/tex]

    The height is 20 cm

Solving:

    Back to the formula,

L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]

L = π15[tex]\sqrt{(20)^{2} +(15)^{2} }[/tex]

L ≈ 1178.1 cm²

              The lateral area of the cone is B. 1,178 cm².

Answer:

0.2

Step-by-step explanation:

Given the data :

Day : Mon Tue Wed Thu Fri Sat Sun

# of sick days 22 11 16 17 21 28 25

The expected count of sick days taken on Saturday is obtained thus :

Expected count = (row total * column total) / overall total

Here, the table is just one way :

Hence, we use :

Observed value / total days

Hence,

Expected count on Saturday = sick days on Saturday / total sick days

Expected count on Saturday = 28 / (22+11+16+17+21+28+25)

Expected count on Saturday = 28 / 140

= 0.2

Answer:

Step-by-step explanation:

Answer:

its 60

Step-by-step explanation:

i took the test

Answer:

60

Step-by-step explanation:

just took the test !!! got 100%

Answer:

the answer to the graph is y=-4x-3

Answer:

y = -4x - 3

Step-by-step explanation:

The given line has :-

Substituting in slope-intercept form

Answer:

A=61.23

Step-by-step explanation:

Answer:

$56.25

Step-by-step explanation:

75%*75.00 = 56.25

Answer:

Step-by-step explanation:

To check , substitute x = -5 and y = 5 into the given equation:

y = x

5 = -5

which is not true so (-5, 5) is not a solution.

Using confidence interval concepts, it is found that:

In this problem, the interval is (19,27), hence the point estimate is:

P = (19 + 27)/2 = 23.

The margin of error is:

M = (27 - 19)/2 = 4.

More can be learned about confidence interval concepts at https://brainly.com/question/25890103

Answer:

10/4 in simplest form 5/2

Step-by-step explanation:

Since 2 goes into 10 and 5 you divide 2 by those two numbers which gives you 5/2

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also,  y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Learn more about a quadratic equation here:

brainly.com/question/2263981

Answer:

44.5 percent is shaded.

from whole model, 44.5% is shaded of 100%

Answer:

The slope = 1/6.

Step-by-step explanation:

The general form for a straight line  is

y = mx + c   where m is the slope

So in this case m = 1/6.

Answer:

1289.8089172

Step-by-step explanation:

if you do 90 x 2 = 180 you get the circumference of what would be the complete circle, the formula for area with circumference is A = (C^2/4x3.14) so inserting 180, the answer is 2579.61783439, and half of that is a semi circle so 2579.61783439/2 = 1289.8089172

Answer:

no. the triangle would be acute

Step-by-step explanation:

[tex]a^2 +b^2=c^2[/tex] ← formula for right triangle

↓

[tex]28^2+53^2=45^2[/tex]?

↓

[tex]28^2=784\\53^2=2809\\45^2=2025[/tex]

↓

[tex]784+2809=3,593[/tex]

↓

[tex]3,593 > 2025\\a^2 +b^2 > c^2[/tex]

which means the triangle is acute, not right.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

Answer:

Pi is used to find the area and circumference of a circle. Pi can be used to find an area by multiplying the radius of the circle squared times pi.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

Answer:

x=8, y = 0

Step-by-step explanation:

Substitution is easier for this problem.

3x + y = 24 ---> y = 24 - 3x

x^2 + y = 64

Substitute y

x^2 + 24 - 3x = 64

x^2 - 3x = 40

Factor out x

x(x-3) = 40

Pretty much you can guess and check

x = 8

If x = 8, y = 0

or

x^2 - 3x = 40

Complete the square

x^2 - 3x + 2.25 = 42.25

(x-1.5) ^2 = 42.25

Square root both sides

x - 1.5 = 6.5

x=8

x - 1.5 = -6.5

x = -5

Check

x = -5 doesn't work, so x = 8 and y = 0

Answer:

Your answer would be:

57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:

2

Point 2 3/4:

4

Point 3:

1

Point 3 1/2:

2

Point 3 3/4:

3

Point 4:

1

Point 4 1/4:

4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

Answer:

⠀

Step-by-step explanation:

⠀

⠀

We'll solve this using the Pythagorean Theorem.

Let,

⠀

We know that,

[tex]{ \longrightarrow \pmb{ \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = (4) {}^{2} +( 8) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 16 +64 }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 80 }}[/tex]

[tex]{ \longrightarrow \it\pmb{ \qquad x {} = \sqrt{80} }}[/tex]

⠀

Therefore,

The figure is a right angled triangle , where the value 4 is perpendicular , 8 is base and x is hypotenuse.

So, By Pythagoras theorem

[tex]x {}^{2} = 4 {}^{2} + 8 {}^{2} [/tex]

[tex]x = \sqrt{16 + 64} [/tex]

[tex]x = \sqrt{80} [/tex]