J u l i a n has partially filled the prism below with 16 unit cubes.

How many more unit cubes will he need to completely fill the prism?
11
20
25
36

Answer:

Step-by-step explanation:

SO LETS FIND THE AREA OF THE SQUARE ( THE BASE )

8 x 8 = 64

so we have 64

SO LETS FIND THE AREA OF THE TRIANGLE ( THE LATERAL AREA )

area = (1/2) · b · h

(1/2) x 8 x 9

1/2 x 72 = 36

SO THERE ARE FOUR TRIANGLES

36 x 4 = 144

SO 144 + 64 = 208 SO THE ANSWER IS 208 :)

Answer:

1620

Step-by-step explanation:

54 x 30 ( half of 60 ) = 1620 this gets you the entire area if you slplit thim into two right triangles and make a rectangle ( if thats confusing dont look into it too much )

Answer:

165

Step-by-step explanation:

150(1.1)=165

Answer:

165 pounds

Step-by-step explanation:

[tex]\frac{10}{100} =\frac{y}{150}[/tex]

100 × y = 10 × 150

100y = 1500

100y ÷ 100 = 1500 ÷ 100

y = 15

150 + 15

165

Answer:

Step-by-step explanation:

Let’s break this apart.

Box= 12cm x 8cm x 6cm

Cube= 2cm x 2cm x 2cm

How many cubes fit in the box?

calculate the volume of the box. To do this, multiply the length by the width by the height (L x W x H)

12 x 8 x 6 = 576cm cubed

2. Calculate the volume of the cube. Once again we multiply L x W x H

2 x 2 x 2 = 8cm cubed

3. Next we divide the volume of the box by the volume of the cube

576 / 8 = 72 cubes

Therefore, it would take 72 cubes to fill a box.

Answer:

yes

Step-by-step explanation:

great job! i am proud of you!

Answer: i think so

Step-by-step explanation:

Answer:

https://www.chino.k12.ca.us/cms/lib/CA01902308/Centricity/Domain/4926/12-5_Volumes_of_Pyramids_and_Cones.pdf

Step-by-step explanation:

Multiply the denominator of a fraction by a whole number and after you have done that,  simplify the fraction as sometimes needed.

You might want to watch a helpful video that will explain examples of how to do that if this doesn't help.

Answer:

the volume of the whole shape is 676.35in^3

Step-by-step explanation:

the volume of the half cylinder is 196.35in^3

the formula used to find the volume is:

V = π * r² * h / 2

the volume of the cube is 480in^3

the formula used to find the volume is:

V = L*W*H

Answer:

66 Students

Step-by-step explanation:

3 teachers for every 18 students is the same as 1 teacher for every 6 students. So if there are 11 teachers, we can assume those 11 teachers match up with 11 sets of 6 students. 11 * 6 = 66. Hope this helps!

Answer:

66 Students is the answer

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Only D is positive.

-v       -2

----- = ----- = +2

-w      -1

Answer:

D -v/-w

Step-by-step explanation:

v = -2 and w = -1

We find on calculator and in workings - / -  does =  positive

The lower quartile value is 13 and the upper quartile value is 27.

What is a Quartile?

A quartile divides the data set into four equal halves, that is, each set has an equal number of terms. The quartiles are given by Q₁(the lower quartile value), Q₂ (the median), Q₃ (the upper quartile value).

We first arrange the data set in ascending order. Here, the data set is already in ascending order, that is, 10,11,13,18,19,21,22,25,27,30,32.

So we will divide the above set into two equal halves. As the given set has 11 terms,

So the median is [tex]\frac{n+1}{2}[/tex] where n is the number of terms.

We have n=11

⇒ Median= [tex]\frac{11+1}{2}[/tex] th term

                = 6th term

⇒ Median= 21

Now the data to the left side of the median value will give the lower quartile and the data to the right will give the upper quartile.

The data to the left of median value 21 is 10,11,13,18,19.

The median value of this data will give the lower quartile value.

Median = [tex]\frac{5+1}{2}[/tex]th term= 3rd term

              =13

⇒Lower quartile is 13.

The data to the right of the median value 21 is 22,25,27,30,32

The median value of this data will give the upper quartile value.

Median = [tex]\frac{5+1}{2}[/tex]th term= 3rd term

             = 27

⇒Upper quartile is 27.

The correct answer is lower quartile= 13, upper quartile = 27

Learn more about quartiles here:

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Answer:

The volume of the ring is 12.6 [tex]cm^{3}[/tex]

Step-by-step explanation:

The volume of the ring will be equal to the increase in the volume after the ring is dropped. In order to find by how much volume increased we just subtract the volume before the ring was dropped from the volume that was recorded after the ring was dropped, and so we get...

(9.2 x 7 x 4.5) - (8.8 x 7 x 4.5) = 289.8 - 277.2 = 12.6 [tex]cm^{3}[/tex]

Answer:45.58333333333333

Step-by-step explanation: Add them all up and then divide by twelve

Answer:

64 ft²

Step-by-step explanation:

10 ft · 10 ft

100 ft²

[tex]A=\frac{bh}{2}[/tex]

6 · 6 = 36

36 ÷ 2 = 18

18 ft² + 18 ft² = 36 ft²

100 ft² - 36 ft²

64 ft²

Answer:

V = 8000in^3

Step-by-step explanation:

Replace s with 20 and solve the equation

V = 20^3

Calculate 20 to the power of 3 and get 8000.

V=8000

Answer: adding a column and a row

Step-by-step explanation:

The rule which give the number of dots for the nth figure is [tex]= n^{2}[/tex]  or number of dots [tex]= n \times n[/tex], where n represents the number of figure.

A pattern is a repeated arrangement of numbers, shapes, colors and so on.

Let n represents the number of figure and m be the number of dots.

According to the given question.

We have some figures which is made up of dots with following some patterns.

In the given first figure i.e. for n = 1

The total number of dots is 1.

[tex]\implies m = 1[/tex]

In the second figure i.e. for n = 2

The number of dots gets increased and the counts of dots are 4.

⇒ [tex]m = 4[/tex]

[tex]\implies m = 2 \times 2[/tex]

In the third figure i.e. for n = 3.

The number of dots are 9

[tex]\implies m = 9[/tex]

[tex]\implies m = 3 \times 3[/tex]

Similarly, for the nth figure, the number of dots is given by

[tex]m = n \times n[/tex]

[tex]\implies m = n^{2}[/tex]  

Hence, the rule which give the number of dots for the nth figure is number of dots [tex]= n^{2}[/tex]  or  number of dots [tex]= n \times n[/tex], where n represents the number of figure.

Find out more information about pattern here:

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Answer:

A. is the answer

Step-by-step explanation:

Answer 64

Step-by-step explanation: if x is 8 you do 8 x 9 which is 72. Then you do 2 x 4 which is 8. So now you have 72 - 8 which is 64.

--Answer--

[tex]5\sqrt{2}[/tex] or 7.0710... (7.1)

--Explanation--

If you look closely the triangle on the left could be moved to the space on the right of the shape.

Then, the edges would be 10 inches (top) and 5 inches (sides).

From there, you multiply 10 x 5 to get 50. If you want the square root, you do [tex]\sqrt{50}[/tex] which is how I got 7.071067812, or 7.1, which was rounded to the nearest tenth.

Answer:

(x-2)(x+5)

Step-by-step explanation:

when factoring, our equation should be in this format: (x+__) (x+__) Then we have to find numbers that add up to 3 but multiply to -10 aka -2 and 5. -2+5=3 and -2(5)= -10

Answer:

1. x = 86

2. x = 31

3. x = 64

4. x = 29

Step-by-step explanation:

1. 2x + 8 = 180

-8 -8

2x = 180 (divide both sides by 2 to get x by itself)

2. 3x - 3 = 90

+ 3 +3

3x = 93 (divide both sides by 3 to get x by itself. you divide because 3x is multiplying and you have to do the reverse operation)

3. 2x -5 + x - 7 = 180 (you combine like-terms)

3x -12 = 180

+12 +12

3x = 192 (you divide by 3 on both sides)

4. x + 1 + x + 4 + x - 2 = 90 (combine like-terms)

3x + 3 = 90

-3 -3

3x = 87 (divide both sides by 3)

Answer:

1) 2x + 8 = 180

Take 8 to the right side.

2x = 172

Divide both sides by 2.

x = 86

2) 3x - 3 = 90

Take -3 to the right side.

3x = 93

Divide both sides by 3.

x = 31

3) 2x - 5 + x - 7 = 180

Combine like terms.

3x - 12 = 180

Take -12 to right side.

3x = 192

Divide both sides by 3.

x = 64

4)  x + 1 + x + 4 + x - 2 = 90

Combine like terms

3x + 3 = 90

Take 3 to right side.

3x = 87

Divide both sides by 3.

x = 29

Answer:

20

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5x4

 2

20 / 2 = 10

Answer:

6

Step-by-step explanation:

1/16

1/16

1/16

1/16

1/16

Answer 6.25%

Step-by-step explanation:

6.25%