From a piece of paper, Sam cuts a rectangle with a length that is 2 inches (in.) longer than the width. He tapes a straw to the long side of the rectangle. Holding the straw horizontally at one end, he twirls it, causing the rectangle to create the image of a solid figure. Which statement best describes the solid figure?
a) A rectangular prism with a volume of w^{2\ }+\ 4w\ \ +4\ in^3w 2 +4w+4in 3 where w represents the width of the rectangle.
b) A rectangular prism with a volume of w^3+4w^{2\ }+4w\ in^3 w 3 +4w 2 +4win 3 where w represents the width of the rectangle.
c) A cylinder with a volume of \pi\left(w^3+2w^2\right)in^3π(w 3+2w 2)in 3 where w represents the width of the cylinder.
d) A cylinder with a volume of \frac{\pi\left(w^3+2w^2\right)}{3}in^33π(w 3+2w 2 ) in 3 where w represents the width of the cylinder.

Answers

Answer 1

Answer:

c)A cylinder with a volume of  π(w³ +2w² )in³

 where w represents the width of the cylinder.

Step-by-step explanation:

A cylinder with a volume of  π(w³ +2w² )in³

 where w represents the width of the cylinder.

The  volume of a cylinder is given by  V=Bh or V=πr²h

where B is the area of the base and h is the height of the cylinder.

V=πr²h-------equation1

V= π(w³ +2w² )--------- equation2

Comparing equation 1 and equation 2

πr²h=π(w³ +2w² )

r²h=(w³ +2w² )

r²h= w²(w +2 )

Taking w² common leaves w+2 which gives the height or length of the cylinder.

Therefore radius = width and height = length which gives the volume of the cylinder.


Related Questions


When building a house, the number of days required to build varies inversely with
with the number of workers. One house was built in 11 days by 49 workers. How
many days would it take to build a similar house with 7 workers?

Answers

Answer: 77 days

Step-by-step explanation:

Find the slope of the line that passes through the
points (-4, 7) and (3,-2)

Answers

Answer:

-9/7

Step-by-step

Slope Formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We can plug in the numbers 7 and -2 for the y and -4 and 3 for x

[tex]\frac{7-(-2)}{-4-3} =\frac{9}{-7}[/tex]

Aside from the vertex, the horizontal cross-sectional shapes of this pyramid
are all similar rectangles.
O A. True
B. False

Answers

I pretty shure it’s false

Two trains leave stations 456 miles apart at the same time and travel toward each other. One train travels at 105 miles per hour while the other travels at 105miles per hour. How long will it take for the two trains to meet?

Answers

Answer:

let x=distance 105 mph train traveled

(456-x)=distance 85 mph train traveled

Travel time = distance/speed (equal in both directions)

 

x/105=(456-x)/85

85x=105*456-105x

190x=105*456

x=105*456/190=252 miles

travel time=252/105=2.4 hrs

ans:

The two trains will meet in 2.4 hrs

Step-by-step explanation:

there brainliest pls

Given the following data, what is the probability that a car will have a V8 or a manual transmission?
A- 70.06%
B-110.71%
C-76.07%
D-60.71%

Answers

Answer is c hope this helps

Zoey had 15 rocks.
she put them in 3
boxes. how many
were in each box?

Answers

Answer: 5

Step-by-step explanation:

What is the volume of this figure? Pls help this is due Thursday 11:45

Answers

Answer:

The answer for this question is 49 cubic inches

PLEASE HELP ME
The following data set shows the pulse rate of some goats at a farm:

75, 76, 77, 76, 77, 76, 78, 75, 78, 76, 79, 76, 78, 76, 77, 76


Which dot plot best represents the data?


dot plot with 2 dots over 75, 8 dots over 76, 3 dots over 77, 3 dots over 78, no dot over 79

dot plot with 2 dots over 75, 7 dots over 76, 3 dots over 77, 3 dots over 78, 1 dot over 79

dot plot with 1 dot over 75, 8 dots over 76, 3 dots over 77, 3 dots over 78, 1 dot over 79

dot plot with 2 dots over 75, 6 dots over 76, 3 dots over 77, 3 dots over 78, 1 dot over 79

Answers

Answer: The answer is the 3rd one

Answer: B) dot plot with 2 dots over 75, 7 dots over 76, 3 dots over 77, 3 dots over 78, 1 dot over 79

Step-by-step explanation: took the test, hope this helps c:

Find the domain D and range R of the function f(x)=|9+2x|. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (∗,∗). Use the symbol [infinity] for infinity and the appropriate type of parenthesis "(", ")", "[", or "]" depending on whether the interval is open or closed.)

Answers

Answer:

Domain of the function 'f' → [tex](-\infty,\infty)[/tex]

Range of the function 'f' → [tex][0,\infty)[/tex]

Step-by-step explanation:

Parent function of an absolute function is,

g(x) = |x|

Domain of the parent function → [tex](-\infty,\infty)[/tex]

Range of the parent function → [tex][0,\infty)[/tex]

If the function 'g' is vertically stretched by a factor of 2, the new function will be,

h(x) = |2x|

Function 'g' is translated by 9 units to the left, then the new function will be,

f(x) = |2x + 9|

By shifting the parent function on x-axis domain of the function will remain same as of the parent function.

Domain of the function 'f' → [tex](-\infty,\infty)[/tex]

Since, there is no shifting along the y-axis therefore, Range of the function will remain the same as the parent.

Range of the function 'f' → [tex][0,\infty)[/tex]

Help me with number 10 pleaseeeeeeeeee

Answers

Answer:

4' - 9.64

Step-by-step explanation:

Total rise = 2' - 7"

Total run = 3' - 9"

Converting to inches :

1' = 12" ; 1 feet = 12 inches

2' = 2 * 12 = 24"

3' = 3 * 12 = 36"

Total rise = 24" + 7" = 31"

Total run = 36" + 9" = 45"

Length of stringer = hypotenus

Hypotenus = √(total rise² + total run²)

Hypotenus = √(31² + 45²)

Hypotenus = 54.644304"

= 4' - 9.64"

Suppose the function S ( t ) = 2.5 cos ( 0.017 t − 1.35 ) + 7 models the amount of snowfall for a year in Anchorage, Alaska, where t = 1 is the first day of the year. Based on the function, what is the range of snowfall for Anchorage?

Answers

Answer:

4.5 to 9.5

Step-by-step explanation:

Question:
a spinner has 8 equally sized sections, six of the selections are green.

a. What is the probability that the spinner will land on green?
1. ____ out of 8, or _/4, or ____%
b. Use words to describe the probability / It is ____ that the spinner will land on green.

Answers

1a. 6 out of 8, 3/4, or 75%
1b. It is likely that the spinner will land on green.

What is the range of this absolute value function?

Answers

Answer:

im pretty sure the answer is A

There are 5 red balls, 3 blue balls and 2 green balls in a box. Suzie takes at random a ball from the box and gives it to her friend. She then takes at random another ball from the box.

Answers

What is the question, because this is not complete.

What is the volume of this composite solid?​

Answers

Step-by-step explanation:

5×9×12=540

6×9×12÷2=324

324+540=864

Answer:

C. 1188 cubic meters

Step-by-step explanation:

"To find the volume, we must multiply the length x width x height"

The shape is too big so we must break it into another shape

Let's solve the bottom shape that looks like a rectangle!

Length: 12 m

Width: 9 m

Height: 5 m

Volume = 540 m

Now the top shape!

Length: 12 m

Width: 9 m

Height: 6 m

Volume = 648 m

Now we need to add both of the volume shapes!

648 + 540 = 1188 cubic meters

What is the least common multiple of 4, 6, and 12?

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

12,24,36,48,60,72...

12 is the smallest common multiple so LCM of 4,6 and 12 is 12

What equation models the volume for a rectangular prism that is 4 cm long, 4cm wide, and 0.1 m tall A. V = 42 x 10 B. V = 10 x (4 + 4) C. V = 400 x 4 D. V = (4 x 4) + 10

Answers

Answer:

It's 160

I think you have a typo in d. If you do, the answer is d) V=(4 x 4) x 10

meaning a x 10 versus a + 10 as typed.

Step-by-step explanation:

.1m=10cm

volume = 4 x 4 x 10 = 160

what is the answer for this one?



2x + 3 = 9. x

Answers

Answer:

3/7

Step-by-step explanation:

You want to seperate the numbers from the variable.

Jamie will plot (9, 5) on a coordinate plane. She knows the last step is to put a point where two lines intersect. Which two steps should she use first

Answers

Answer:

i got g

Step-by-step explanation:

Answer:

Step-by-step explanation:

G and h

A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative. Round answers to 4 decimal places where possible.

Answers

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that [tex]n = 533, \pi = \frac{351}{533} = 0.6585[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923[/tex]

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

IS A PICTURE!!!! thank you for your time

Answers

Answer:

I am not sure, but I think you would check for the side with the longest length(hypothenuse) and check if the formula of a^2+b^2=c^2(side with the longest length) satisfies it.

Use limits to find the area of the shaded region in the graph y = x2.
a.
7 units²
c.
4 units²
b.
9 units²
d.
6 units ²

Answers

Answer:

B. 9 Units squared

Step-by-step explanation:

Edge 2021

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

Answers

Answer:

-53/12

Step-by-step explanation:

Answer:

Exact Form: -53/12

decimal form: -4.416

mixed number -4 5/12

Step-by-step explanation:

convert mixed numbers into improper fractions: -2 3/3 +(5 1/2)+ 8 3/4

convert mixed numbers into improper fractions: =11/2  =[tex]-\frac{23}{3}+\left(-\frac{11}{2}\right)+\frac{35}{4}[/tex] =

[tex]-\frac{23}{3}+\left-\frac{11}{2}\right+\frac{35}{4}[/tex][tex]=-\frac{92}{12}-\frac{66}{12}+\frac{105}{12}[/tex]

[tex]\frac{-92-66+105}{12}[/tex]

add/subtract the numbers: -92-66+105=-53

-53/12

apply the fraction rule: [tex]\frac{-a}{b} = -\frac{a}{b\\}[/tex]

[tex]=-\frac{53}{12}\\[/tex]

The length of a vegetable garden is 5 times its width. If its width is 3/4 meter, what is the area?

Answers

Area=2.8125 square meters
Width=3/4 meter
Length=5(3/4) meter=3.75 or 15/4
3.75 times 3/4=2.1825 square meters

What is 5C3?
A. 35
B. 10
C. 14
D. 28

Answers

Answer: B. 10

-5C3 or 5 choose 3 refers to how many combinations are possible from 5 items, taken 3 at a time. To calculate combinations, we will use the formula nCr = n! / r! ... * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.

-10 is the total number of all possible combinations for choosing 3 elements at a time from 5 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 5 CHOOSE 3 can also be written as 5C3 in the format of nCr or nCk.

Step-by-step explanation: Hope this help :D

Which of the following situations can be represented by C = 10 + 0.44n?

Answers

Answer:

10.44

Step-by-step explanation:

How many tenths are in 8.32?

Answers

Answer:

3 tenths

Step-by-step explanation:

as a customer enters a grocery store, they are handed a coupon worth up to $5 in savings.

Answers

Answer:

is c

Step-by-step explanation:

Color Frequency
Blue
57
Black
84
Silver
183
Red
168
Green
64
If there were 6 times as many of each color car in the parking lot, how
many silver cars would be in the parking lot?

Answers

6 x 183 = 1098

So there will need to be 1098 cars.

Reflect P (-5,10) over the x-axis. What are the coordinates of the reflected point? What quadrant is the reflected point in?

Answers

Answer:

(-5,-10)

it is in quadrant 3 (quadrant III)

Step-by-step explanation:

Mark as Brainliest

Answer:

(-5,-10) In Quadrant III

Step-by-step explanation:

When reflecting a point accross the x-axis, the y-coordinate of the point changes signs

Ex. Positive to Negative and vice versa

Therefore, (-5,10) reflected accross the x-axis becomes (-5,-10)

Since both x and y coordinates are negative, the point falls in the third quadrant, or Quadrant III

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