A student designed this sculpture. Using the dimensions on the sculpture, find the dimensions of each rectangular prism. Then calculate the volume of each prism.

Answer:

3/8

Step-by-step explanation:

If 1 and 3 are odd numbers then all you have to do is count the number of 1 and 3's(3). then count the number of numbers (8).

Answer:

4 backpacks

Step-by-step explanation:

3 backpacks can hold 30 pounds. You can't have half a backpack, so you just add another.

Answer:

4

Step-by-step explanation:

Answer:

the 3rd option

Step-by-step explanation:

Answer:

the correct answer to this is C, have a wonderful day :)

Step-by-step explanation:

Answer:

x + 7y

Step-by-step explanation:

[tex]3(x + 2y) - 2x + y \\ = 3x + 6y - 2x + y \\ = 3x - 2x + 6y + y \\ = x + 7y[/tex]

Answer:

x≥1

Step-by-step explanation:

Answer:

each interior angle = 150°

Step-by-step explanation:

(N x 180°) - 360° = the sum of interior angles

where N = the number of sides

(12 x 180°) - 360° = 1800°

Since it is a regular polygon, all 12 angles are equal:

1800°/12 = 150°

Answer:

let the numbers be, x and x+1 ( as it is consecutive number the next number will have 1 more than the number )

sum = 41

so, x + ( x + 1 ) = 41

      x + x + 1 = 41

        2x + 1 = 41

             2x = 41 -1 = 40

              2x = 40

                x = 40/2 = 20

x = 20

x + 1 = 20 + 1 = 21

so the consecutive numbers whose sum is 40 are, 20 and 21  

hope this answer helps you.....

please mark as brainliest... thank you!

Answer:

100 degrees

Step-by-step explanation:

α=2θ

α=2(50)

α=100

Answer:

the right answer will be c.360

360 degree of rotation about the origin will cause the triangle below to map onto itself.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have to find the degree of rotation that cause the triangle below to map onto itself.

As, A figure will be mapped onto itself if it circles the graph 360 degrees.

So, there are 360 degrees in a circle, the figure has just completed a full circle and returned to where it was before rotating.

Thus, the degree of rotation is 360.

Learn more about Transformation here:

https://brainly.com/question/16941421

#SPJ5

Answer:

$2.60

Step-by-step explanation:

13.00÷5=2.6

6 is in tens placement

Answer:

$ 1267.

Step-by-step explanation:

Given :

David's monthly income after tax = $ 1430.15

His health insurance cost him in a month = $ 63

Percent deducted from his income after tax for his retirement option is = 7%

Therefore money left after retirement option deduction is :

$ 1430.15 - 7% of $ 1430.15

= 1430.15 - 100.11

= $ 1330.04

= $ 1330 (aprrox)

Money deducted from this amount for his health insurance plan

= $ 1330 - $ 63

= $ 1267

Therefore, David's monthly take home pay is $ 1267.

Answer:

when you add them up then youll find your answer

Step-by-step explanation:

im just saying what my math teacher said im sorry if im wrong

Answer:

1) "Most certainly, do you like your math class?"

2) "Sometimes it is difficult but I just request extra help."

3) "For sure! As long as you keep trying, your efforts will pay off. It was nice talking to you."

Answer:

Zeroes are x = 6 and x = -4

Factored form is - ( x + 4 ) ( x - 6 )

Standard form is -x^2 + 2x +24

Step-by-step explanation:

Solve out the equation to get the standard form, then factor that equation to get the factored form. Set each factor equal to zero and solve for x to get zeroes of the function

Hopefully this helps - let me know if you have any questions!

Answer:

A. The value of n can be any positive integer resulting in the same factor

Step-by-step explanation:

Given

[tex]x^2 + 2xn + n^2[/tex] --- the right expression

[tex]n > 0[/tex]

Required

Possible values of n

[tex]x^2 + 2xn + n^2[/tex]

Expand

[tex]x^2 + 2xn + n^2 = x^2 + xn+xn + n^2[/tex]

Factorize

[tex]x^2 + 2xn + n^2 = x(x + n)+n(x + n)[/tex]

Factor out [tex]x + n[/tex]

[tex]x^2 + 2xn + n^2 = (x + n)(x + n)[/tex]

From the expression above, we can see that the result has the same factor. This means that options (b), (d) and (e) are not possible

[tex]x^2 + 2xn + n^2 = (x + n)^2[/tex]

The above also shows that n can take any positive value.

Hence: (a) is correct

Answer: 490

Step-by-step explanation: If 7 out of ten students have a backback you can also say 7/10. If in total there are 700 students we can multiply 7/10 or .7 woth 700 and get the answer.  (7/10)(700)=490

Answer:

1. The volume of the cylinder is 263 [tex]cm^{3}[/tex].

2. The volume of the cylinder is 12 [tex]m^{3}[/tex].

3. The volume of the cylinder is 3165.1 [tex]cm^{3}[/tex].

4. The radius of the cylinder is 3.6 cm.

5a. Area of the base is 50.2 [tex]cm^{2}[/tex].

5b. The curved surface area of the pencil holder is 351.7 [tex]cm^{2}[/tex].

5c. The surface are of the pencil holder is 452.2 [tex]cm^{2}[/tex].

Step-by-step explanation:

1. The given shape is a cylinder, so that;

volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

                                  = 3.14 x [tex](3.8)^{2}[/tex] x 5.8

                                  = 262.98128

The volume of the cylinder is 263 [tex]cm^{3}[/tex].

2. This is also a cylinder, but with a given diameter.

radius = [tex]\frac{diameter}{2}[/tex]

          = [tex]\frac{1.2}{2}[/tex] = 0.6 m

volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

                                  = 3.14 x [tex](0.6)^{2}[/tex] x 10.6

                                  = 11.98224

The volume of the cylinder is 12 [tex]m^{3}[/tex].

3. volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

                                      = 3.14 x [tex]6^{2}[/tex] x 28

                                      = 3165.12

The volume of the cylinder is 3165.1 [tex]cm^{3}[/tex].

4. volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

239 = 3.14 x [tex]r^{2}[/tex] x 6

239 = 18.84 [tex]r^{2}[/tex]

[tex]r^{2}[/tex] = [tex]\frac{239}{18.84}[/tex]

   = 12.6858

r = [tex]\sqrt{12.6858}[/tex]

 = 3.5617

The radius of the cylinder is 3.6 cm.

5. Area of the base = [tex]\pi[/tex][tex]r^{2}[/tex]

radius = [tex]\frac{diameter}{2}[/tex]

           = [tex]\frac{8}{2}[/tex] = 4 cm

Area of the base = 3.14 x [tex]4^{2}[/tex]

                            = 50.24

Area of the base is 50.2 [tex]cm^{2}[/tex].

5b. Area of the curved surface of the pencil holder = 2[tex]\pi[/tex]rh

                                                                    = 2 x 3.14 x 4 x 14

                                                                     = 351.68

The curved surface area of the pencil holder is 351.7 [tex]cm^{2}[/tex].

5c. Surface area of the pencil holder = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]

                               = 2[tex]\pi[/tex]r(h + r)

                                = 2 x 3.14 x 4 (14 + 4)

                                = 452.16

The surface are of the pencil holder is 452.2 [tex]cm^{2}[/tex].

Step-by-step explanation:

8y=78/5x=20

x=2/5

5(2/5)+y=16

2+5y=5(16)

2+5y=80

5y=78

y=78/5

Answer:

Speed = 7520 km/h

Step-by-step explanation:

Given the following data;

Distance = 22,200,000 km.

Time = 1230 Earth days

To find the average speed of the planet;

First of all, we would have to convert the time in Earth days to hours;

1 Earth day = 24 hours

1230 Earth day = x

Cross-multiplying, we have;

x = 1230 * 24

x = 29520 hours

Therefore, time = 29520 hours

Substituting into the formula, we have;

Speed = 22200000/29520

Speed = 7520.325 km/h

To 3 significant figures;

Speed = 7520 km/h

Answer and Step-by-step explanation:

To find the surface area, we have to find the area of all the faces of the shape, then add them together. We also only use the exposed faces, or the faces on the outside, not the inside.

Lets start with the rectangular prismed shape.

We have two faces with sides of 4 and 5, two faces with sides 16 and 4, and 1 side with 16 and 5.

Rectangles:

4 × 5 = 20

4 × 5 = 20

4 × 16 = 64

4 × 16 = 64

5 × 16 = 80

Now, let's do the triangles up top. There will essentially be 4 triangles, because we split them in half to find the area.

They have side lengths of 6 and 8.

Triangles:

6 × 8 = 48

6 × 8 = 48

6 × 8 = 48

6 × 8 = 48

Now, we have to the two rectangles up top.

They have side lengths of 10 and 4.

Top Rectangles:

10 × 4 = 40

10 × 4 = 40

Now, we add them all together.

20 + 20 + 64 + 64 + 80 + 48 + 48 + 48 + 48 + 40 + 40 =

40 + 208 + 192 + 80 =

520.

The Surface Area of the figure is 520 [tex]m^2[/tex]

#teamtrees #PAW (Plant And Water)

Answer:

.

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Complete question :

Cyber Monday Shopping A survey of 1000 U.S. adults found that 33% of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the 95% confidence interval of the true proportion.

Answer:

(0.301 ; 0.359)

Step-by-step explanation:

Sample size, n = 1000

Phat = 0.33

(1 - phat) = 1 - 0.33 = 0.67

Zcritical at 95% = 1.96

Confidence interval :

Phat ± margin of error

Margin of Error = Zcritical * sqrt[(phat(1 - phat)) /n]

Margin of Error = 1.96 * sqrt[(0.33 * 0.67) / 1000]

Margin of Error = 1.96 * 0.0148694

Margin of Error = 0.0291440

Lower boundary = (0.33 - 0.0291440) = 0.300856

Upper boundary = (0.33 + 0.0291440) = 0.359144

(0.301 ; 0.359)

Answer:

56

Step-by-step explanation:

area of whole figure=

l×b

=20×10

=200

also,area of small fig.

=l×b

=18×8

=144

thus area of shaded part =a of whole- a of small

=200-144

=56

Answer:

they are in 225kilometers apart.

hope it helps.

Answer:

The probability that a randomly selected resident of the Gold dorm is a senior is 0.1562

Step-by-step explanation:

The given percentage of each class of student is presented as follows;

Priority A (seniors) = 22%, ∴ P(s) = 0.22

Priority B (juniors) = 29%, ∴ P(j) = 0.29

Priority C (freshmen and sophomores) = (100 - 22 - 29)% = 49%, ∴ P(fs) = 0.49

The percentage of the seniors that elect to live at the Gold dorm, = 71%, ∴ P(sG) = 0.71

The percentage of the juniors that live at the Gold dorm = 19%, ∴ P(jG) = 0.19

The percentage of the freshmen and sophomores that live in the Gold dorm = 5%, ∴ P(fsG) = 0.05

The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = P(s) × P(sG)

∴ P(s∩sG) = 0.22 × 0.71 = 0.1562

Therefore;

The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = 0.1562.

Answer:

250 $3 tickets and 100 $2 tickets were sold