What is the volume of this rectangular prism

Answer:

40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex]

Step-by-step explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length =  6 [tex]\frac{1}{2}[/tex] cm

width  =  2 [tex]\frac{1}{2}[/tex] cm

height  =  2 [tex]\frac{1}{2}[/tex] cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.

Volume = [tex]\frac{13}{2}[/tex] x  [tex]\frac{5}{2}[/tex] x  [tex]\frac{5}{2}[/tex]

When you multiply everything together you should get [tex]\frac{325}{8}[/tex].

As a mixed number, that would be 40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex].

Answer:

The degree of the given polynomial is 3.

Hope it will help :)

Answer:

110

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Set the two given equations equal to each other (alternate angles i think)

12x + 2 = 11x + 11

**simplify and pull x to one side**

x = 9

**now insert x=9 into one equation (I choose 12x+2**

12(9) + 2 = 108 + 2 =110

A

Answer:

Step-by-step explanation:

2(x - 3) = 10

or. 2x - 6 = 10

or. 2x = 10 + 6 = 16

or. x = 16/2 = 8

Answer:

60%

Step-by-step explanation:

he gave away 2/5 which is 40%. 100%-40% is 60%

Answer:

Step-by-step explanation:

Left over chocolate = 3/5

Percentage = [tex]\frac{3}{5}*100=3*20 =[/tex] 60%

Answer:

2000000 bricks

Step-by-step explanation:

The computation of the number of bricks to be used is shown below:

The Volume of brick is

= (15 × 8 × 5)cm^3

= 600 cm^3

And, the Volume of wall is

= (1500 × 1000 × 800)cm^3

= 1200000000 cm^3

Now Bricks needed is

= 1200000000 cm^3 ÷ 600cm^3

= 2000000 bricks

Answer: 60

Step-by-step explanation:10 x 6 = 60 ( Also, 6x6x6x6x6x6x6x6x6x6 = 60

Answer:

Step-by-step explanation:

opposite (o) = d

adjacent (a) = 105

Angle A = 90 - 53 = 37°

Therefore,

the correct equation would be

tan(A°) = opposite/adjacent

tan(37°) = d/105

d = 105 × 0.7535540501

d ≈ 79.12 units

______________

#IndonesianPride

- kexcvi

Answer:

length = 4x

width = 3x

perimeter = 56 m

also, perimeter = 2 (length + width)      [from formula]

therefore, 2(4x + 3x) = 56m

2(7x) = 56m

14x = 56m

x = 56/14 m

x = 4m

Answer:

Step-by-step explanation:

Length : width = 4 : 3

Length = 4x

Width = 3x

Perimeter of rectangle = 56 m

2*(length +width ) = 56

2*(4x + 3x) = 56

2*(7x)         = 56

           14x = 56

Divide both sides by 14

               x = 56/14

              x  = 4

Length = 4x = 4*4 = 16 m

Width = 3x = 4*3 = 12 m

0.81382 is a rational number because it is a terminating decimal.

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, and also whose behavior is known.

An irrational number is a type of real number which cannot be represented as a simple fraction and also whose behavior is not known.

According to the given question.

We have a number 0.81382

The above number is not repeating but terminating.

Therefore, we can say that the above number is rational because it is a terminating decimal.

Hence, 0.81382 is a rational number because it is a terminating decimal.

Find out more information about rational and irrational number here:

https://brainly.com/question/17450097

#SPJ2

Answer:

B

Step-by-step explanation:

B is correct. Only positive equation with y int at 2

Answer:

b

Step-by-step explanation:

What is the graph for y=2x+2?

There are 2 ways to do this problem. The easier method is to set x as two random numbers, and find y for both of the situations. Then, you will find that, for example,

When x = 0, y = 2 and when x = -1, y = 0. The only graph that has these two points is b, so that is the answer.

However, there is a more reliable way to do this.

First, let's go over what slope is. Slope is the "m" in y=mx+b and can be found by doing "rise over run". In other words, it represents how steep the line is/how fast it rises. If there is a negative slope, the graph moves down, like in c or d. If there is a positive slope, the line moves up, like in a or b.

We need to find a graph that has a slope of two (for every x, y rises by 2 [like if x=1, y=2, or when x=2, y=4, etc.). This only leaves option b as an answer.

Answer:

21 savage

Step-by-step explanation:

Answer:

y = 5/3x - 10

Step-by-step explanation:

[tex]5x - 3y = 15\\-3y = -5x + 15\\y = 5/3x - 5[/tex]

that means the slope of the new line also has to be 5/3 because parallel lines have the same slope.

put it in point-slope form:

y - -5 = 5/3(x - 3)

y + 5 = 5/3x - 5

y = 5/3x - 10

C because 45.1%=45% so 45% is closest to -3 to 0 degress

Why did you delete my answer?

Answer:

33+12t−21t^2

Step-by-step explanation:

(2t-7)²-(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².

4t^2−28t+49−(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².

4t^2−28t+49−(25t^2−40t+16)

To find the opposite of 25t^2

−40t+16, find the opposite of each term.

4t^2−28t+49−25t^2−40t+16

Combine 4t^2  and −25t^2  to get −21t^2.

−21t^2−28t+49+40t−16

Combine −28t and 40t to get 12t.

−21t^2+12t+49−16

Subtract 16 from 49 to get 33.

−21t^2+12t+33

Swap terms to the left side.

33+12t−21t^2

I hope this helped!

Missing Part:

The initial fee for a taxi ride is $2.60.  Each mile traveled in a taxi costs an additional $2.50.

Answer:

[tex]2.60 + 2.50x > 12[/tex]

[tex]x >3.76[/tex]

Step-by-step explanation:

Given

[tex]Initial = 2.60[/tex]

[tex]Rate = 2.50[/tex] per mile

Required

Miles traveled for more than $12

First, we represent the given parameters as an equation.

Represent miles with x and cost with y

So:

[tex]y = Initial + Rate * x[/tex]

[tex]y = 2.60 + 2.50 * x[/tex]

[tex]y = 2.60 + 2.50 x[/tex]

In Ian case, the distance traveled is more than $12.

This is represented as:

[tex]2.60 + 2.50x > y[/tex]

Substitute 12 for y

[tex]2.60 + 2.50x > 12[/tex]

Make 2.50x the subject

[tex]2.50x > 12 - 2.60[/tex]

[tex]2.50x > 9.40[/tex]

Make x the subject

[tex]x >9.40/2.50[/tex]

[tex]x >3.76[/tex]

Answer:

3,25 6,85 7,105

Step-by-step explanation:

I hope this helps!

Answer:

6x or 6(x)

Step-by-step explanation:

6 bracket (x) is a form of saying multiplication

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

if YZ bisects VW then VX = XW

if VX = 26 then XW = 26 also

Answer:

[tex]p^{4} s^{5} y^{-7} z^{-1}[/tex]

Step-by-step explanation:

[tex]\frac{1}{y^{7} } = y^{-7}[/tex]

[tex]\frac{1}{z} = z^{-1}[/tex]

The answer is x = -5/6

And in decimal form it would be, -0.8333333

Answer:

IJ = 82

Step-by-step explanation:

IJ≅IH so they are the same length

IH = 82 = IJ

Answer:

X is greater than or equal to 15.

The dot is closed, and graph it to the right of 15.

The crew's goal is to lengthen the road to at least 104 miles. This will take at least 15 weeks.

Answer:

X is greater than or equal to 15.

Step-by-step explanation:

Answer:

in triangle PON

relationship between perpendicular and hypotenuse is given by sin angle

sinx°=p/h=19/49=

x°=sin-¹(19/49)=22.81=23°

yeah you are right.

Answer:

47 very easy

Step-by-step explanation:

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