help with applications of surface area and volume problems! will reward brainly, 10th grade geometry

Help With Applications Of Surface Area And Volume Problems! Will Reward Brainly, 10th Grade Geometry
Help With Applications Of Surface Area And Volume Problems! Will Reward Brainly, 10th Grade Geometry

Answers

Answer 1

Answer:

Question 1:

Rectangular prism requires [tex] 10.185\: in^2[/tex] more material to make than the cylinder.

Question 4:

The cylindrical container holds [tex]\bold{60.16\: in^3}[/tex] more than the rectangular prism.

Step-by-step explanation:

Question 1:

In order to select the correct answer, we should find the surface areas (SA) of both cylindrical as well as rectangular containers. Let us start...For cylindrical container:h = 10 in & r = 4.5 in

[tex] SA (Cylindrical \:container) = 2\pi rh+2\pi r^2-\pi r^2[/tex] ([tex]\pi r^2[/tex] is subtracted because the container is open from the top)

[tex] SA (Cylindrical \:container) = 2\pi rh+\pi r^2[/tex]

[tex] SA (Cylindrical \:container) = 2(3.14)(4.5)(10)+3.14 (4.5)^2[/tex]

[tex]\implies \red{\boxed{\bold{SA (Cylindrical \:container) =346.185\: in^2}}}[/tex]

Next, we find the surface area of the rectangular container which has following dimensions.[tex] l = 8\: in,\: b = 8\: in,\: h= 8.5\: in[/tex]

[tex] SA ( rectangular\: container) = 2(lb+bh+lh)-lb[/tex] (lb is subtracted because container is open from the top)

[tex] \implies SA ( rectangular\: container) = lb+2(bh+lh)[/tex]

[tex] \implies SA ( rectangular\: container) = 8*8+2(8*8.5+8*8.5)[/tex]

[tex] \implies \purple{\boxed{\bold{SA ( rectangular\: container) = 336\: in^2}}}[/tex]

Here, SA (Cylindrical container) > SA (rectangular container)

[tex] Difference = 346.185 - 336 = 10.185\: in^2[/tex]

[tex]\bigodot[/tex] This means: rectangular prism requires [tex]\bold{10.185\: in^2}[/tex] more material to make than the cylinder.

Question 4:

[tex] V_{Cylinderical\: container}= \pi r^2 h [/tex]

[tex] \implies V_{Cylinderical\: container} =3.14 (4)^2 (9)[/tex]

[tex]\implies\red{\boxed{\bold{V_{Cylindrical\: container}=452.16\: in^3}}}[/tex]

[tex]V_{rectangular\: container}= l*b* h[/tex]

[tex] \implies V_{rectangular\: container}= 7*7* 8[/tex]

[tex] \implies \orange{\boxed{\bold{V_{rectangular\: container}= 392\: in^3}}}[/tex]

Here, [tex] V_{Cylinder\: container}>V_{rectangular\: container}[/tex][tex] Difference = 452.16 - 392= 60.16\: in^3[/tex]

[tex]\bigodot[/tex] Thus, the cylindrical container holds [tex]\bold{60.16\: in^3}[/tex] more than the rectangular prism.

Related Questions

Which of the following is true?

A. Since the slope of AD equals the slope of CB and the slope of DB equals the slope of CA, the
figure is a rectangle.

B. Since both pairs of opposite sides are of equal length, the figure is á square

C. Since AB=CD= 141, the figure is a rectangle.

D. Since AB=CD= 141, the figure is a square.

Answers

Answer:

C. Since AB = CD = √41, the figure is a rectangle.

Explanation:

All of them AD, CB, DB, CA have a slope of 0.

Here measure the length units, 5 units horizontal and 4 units vertical. Thus we can conclude it is a rectangle.

Find diagonal Length:

√(x2-x1)² + (y2-y1)  =  Length from points measure.√(5-0)² + (4-0)²         [insert following coordinates]√25 + 16                   [simplify]√41                           [final answer]

Since AB = CD = √41, the figure is a rectangle.

HELP ME PLEASE. I REALLY NEED THIS

Answers

Answer:

girl good luck I cant even do that.

Divide 15/18 by 6 any answers??

Answers

15/18 ÷ 6
= 15/16 ÷ 6/1
Changing the sign(÷) to multiplication (×), you get the reciprocal of 6/1
= 15/16 × 1/6
= 15/96
= 5/32
= 0.15625

Answer:

[tex] \frac{5}{36} [/tex]

Step-by-step explanation:

[tex] \frac{15}{18} \div 6 \\ = \frac{15}{18} \times \frac{1}{6} = \frac{5}{18\times 2} = \frac{5}{36} [/tex]

The following curves bound an area: y = 2x + 1, y = -3, and x = 3. Set up the integral to find the VOLUME if this area is revolved about the line x = 3. DO NOT EVALUATE.

Answers

First note the intersections of each pair of lines.

x = 3   ⇒   y = 2•3 + 1 = 7   ⇒   (3, 7)

y = -3   ⇒   -3 = 2x + 1   ⇒   x = -2   ⇒   (-2, -3)

y = -3 and x = 3   ⇒   (3, -3)

Using the disk method, we consider disks with thickness ∆y and radius equal to the horizontal distance between the line y = 2x + 1 (or x = (y - 1)/2) and the axis of revolution, x = 3. Each disk will then contribute a volume of

∆V = π (radius)² (thickness) = π/4 (y - 1)² ∆y

As we let ∆y go to zero and let the number of disks go to infinity, the total volume of the resulting cone will be given by the integral

[tex]\displaystyle \frac\pi4 \int_{-3}^7 (y-1)^2 \, dy[/tex]

Susan bought gas for her car,the gas cost 2.79 per gallon susan bought 15.4 gallons,what was the total cost for susans gas

Answers

$42.966 is the total cost

X/3 + 1 = ×/8 + 1/11
solve the question please pls​

Answers

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the following expression can be solved as follows ~

[tex] \frac{x}{3} + 1 = \frac{x}{8} + \frac{1}{11} \\ [/tex]

Taking LCM on both the sides ,

[tex] \frac{x + 3}{3} = \frac{11x + 8}{88} \\ [/tex]

On cross multiplying ,

[tex]( x + 3)88 = (11x + 8)3 \\ \\ \implies \: 88x + 264 = 33x + 24[/tex]

let's now gather the like terms at either sides of the equation and solve ~

[tex]88x - 33x = 24 - 264 \\ \\ \implies \: 55x = - 240 \\ \\ \implies \: x = \cancel\frac{ - 240}{55} \\ [/tex]

on further simplifying ,

[tex]\implies x = \frac{ - 48 }{ 11} \\ [/tex]

hope helpful ~

During Black Friday, everything at Best Buy was marked down 15%. If a customer purchased electronics for a subtotal of $240, what is the final price they would pay for all of their electronics?

Answers

Answer:

$204

Step-by-step explanation:

Expression : 240 x 15%

15% x 100 = 0.15

Equation : 240 x 0.15 = 36

Final Answer : 36

240 - 36 = 204

The set of all points in space that are the same distance from a center point

Answers

Answer:

circle

Definition: A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle.

Simplify
1.Cube root of 125 subtract square root of a quarter
2. 1/2+1/4÷(1/3-1/4)
3.(-5)-(-8)-(-7)-(+2)

Answers

Answer:

1- 4.5

2- 7/2 (3.5)

3- 8

Step-by-step explanation:

The probability that a randomly selected point on the grid below is in the blue area is StartFraction 9 over 16 EndFraction. A grid with 16 squares. 9 squares are shaded blue. Which expression can be used to find the probability that a randomly selected point is in the white area of the grid? 1 minus StartFraction 9 over 16 EndFraction 1 minus StartFraction 7 over 16 EndFraction 1 + StartFraction 9 over 16 EndFraction 1 + StartFraction 7 over 16 EndFraction

Answers

Answer: Choice A

1 minus StartFraction 9 over 16 EndFraction

This is the same as writing 1 - 9/16

======================================================

Explanation:

9/16 is the fraction 9 over 16

It is a shorthand way of saying 9 squares are shaded out of 16 total.

When writing 1 - 9/16 or 1 - (9/16), this represents the number of white squares that aren't shaded blue.

------------

This is what happens when you simplify the expression

1 - 9/16

16/16 - 9/16

(16-9)/16

7/16

This shows that there are 7 white squares.

------------

Or if you want, you can think of it like this:

16 squares total, 9 are blue

16-9 = 7 squares are white

7/16 is the fraction of squares that aren't shaded blue.

Divide.

3.9 ÷ 100,000

Enter your answer as a decimal in the box.
i dont know what to do here

Answers

Answer:  0.000039

Step-by-step explanation: i us calculator

Answer:

0.000039.

Step-by-step explanation:

3.9 / 100,000

Move the decimal point 5 places to the left ( as there are 5 0's in 100,000)

filling in the zeroes as you move alomg.

So its  0.000039

Select the correct answer.
Maggle is training for a bicycle trip across her home state. She recorded the approximate number of miles she biked during 10 days of training.
The graph shows the data that she recorded as a function of the distance biked over time.
50
40
30
20
10
X
0
4 6
2
8
10
Days
Which function best models the data set?
Miles Biked

Answers

Answer:

B

Step-by-step explanation:

The data shows a positive correlation so the gradient must be positive so B.

Hunter misses 10% of the free throws he attempts in a season. How many total free throws did he attempt if he missed 54?

Answers

Answer:

540

Step-by-step explanation:

If you divide 540 by 100 (100%) you get 5.4 then multiply it by 10 (10%) to get 54 again. THIS WAS TO CHECK TO GET: 10% or 100% is 10 so multiply 54•10=540

Hope this helps! ;-)

Please awnser :))))))))

Answers

Answer:

See figure below.

Step-by-step explanation:

Since the dilation is 1/5 with respect to the origin, divide each x- and y-coordinate by 5 to find the new points. Then plot them. See figure below.

NEED HELP ASAP!!! What is the sum of the geometric sequence -4, 24, -144, ... if there are 8 terms?

A. -959,781

B. 29,637

C. 26,661

D. 959,780

Answers

Answer:

D

Step-by-step explanation:

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{24}{-4}[/tex] = - 6 , then

S₈ = [tex]\frac{-4((-6)^{8}-1) }{-6-1}[/tex]

     = [tex]\frac{-4(1679616-1)}{-6-1}[/tex]

     = [tex]\frac{-4(1679615)}{-7}[/tex]

      = [tex]\frac{-6718460}{-7}[/tex]

      = 959,780

The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a standard deviation Sigma = $4,000. What is the z-score of a company employee who makes an annual salary of $28,000?.

Answers

Answer:

see the attachment.

Answer:

C, -1.5

Step-by-step explanation:

edge

help need to pass class and iready

Answers

Answer:

[tex]\Large\boxed{\sf{y > 32}}[/tex]

Step-by-step explanation:

To get the final answer, isolate the variable y on one side of the equation.

1/4y≥8

First, multiply by 4 from both sides.

[tex]\Longrightarrow: \sf{4*\dfrac{1}{4}y\geq 8*4 }[/tex]

Solve.

8*4=32

[tex]\boxed{\sf{y\geq 32}}[/tex]

Therefore, the correct answer is D.

I hope this helps, let me know if you have any questions.

What is the next step in solving this augmented matrix using the gauss-jordan elimination method? a. convert the matrix to the linear system form. b. divide r2 by 2 and r3 by 3. c. the matrix is solved. d. this is an inconsistent matrix that cannot be solved. e. divide r1 by 2 and r3 by 3.

Answers

Based on the Gauss-Jordan Elimination method, and the matrix given, the next step would be to b. divide R2 by 2 and R3 by 3.

What is the next step in the Gauss-Jordan Elimination method?

The first row has already gone as low as it can so rows two and three need to be worked on.

The best way to do this is to divide Row 2 by 2 and Row 3 by 3. This then leads to the augmented matrix becoming:

[1    0     0   I  5]

[0    1     0   I  4]

[0    0    1    I  3]

In conclusion, option B is correct.

Find out more on the Gauss-Jordan Elimination method at https://brainly.com/question/12090959.

#SPJ4

can someone help me on this question pls and thank you

Answers

Answer:

  (c)  2205 cm³

Step-by-step explanation:

The volume of the original prism is the product of its dimensions. The volume of one of two identical pieces will be half that.

__

prism volume

  V = LWH

  V = (21 cm)(21 cm)(10 cm) = 4410 cm³

piece volume

Each piece will have a volume that is half that:

  V = 4410 cm³ ÷ 2 = 2205 cm³ . . . volume of each part

Solve -3(x - 4) > -2x + 5

Answers

Answer:

x<7

Step-by-step explanation:

-3(x - 4) > -2x + 5 Distribute

-3x+12>-2x+5  Subtract 12 from both sides

-3x>-2x-7 Add 2 to both sides

-5x>-7 Simplify

x<7

Answer:

x < 7.

Step-by-step explanation:

-3(x - 4) > -2x + 5

-3x + 12 > -2x + 5

-3x + 2x > 5 - 12

-x  > -7      Note: we divide by -1 so the sign flips:

x < 7.      



The axis of symmetry of a parabola is at x = -2. If one x-intercept is (6, 0),
what is the other x-intercept?

Answers

Check the picture below.

In Exercises 3–8, use the box-and-whisker plot to find the given measure.

Answers

Answer:

3. The least value is 3.

4. The greatest value is 14.

5. The third quartile is 11

6. The first quartile is 6

7. The median is 8.

8. The range is 3-14.

Step-by-step explanation:

Which equation represents the solution of x^3 = 72?

Answers

the answer would be B

Which of the following could be calculated using the Pythagorean theorem? Select all that apply.

area of a circle
length of an arch
height of a building
distance to an airport
size of a window pane

Answers

Answer: height of a building

Step-by-step explanation:

a^2 + b^2 = c^2

used for finding missing side angle of a triangle

Here's the question, please help!

Answers

x=2sinty=3sint

#1

x²/2+y²/3(2sint)²/2+(3sint)²/34sin²t/2+9sim²t/32sin²t+3sim²t5sin²t

False

#2

x²+y²4sin²t+9sin²t13sin²t

False

#3

3x²+2y²3(4sin²t)+2(9sin²t)12sin²+18sin²t30sin²t

False

None of the above

Answer:

None of these

Step-by-step explanation:

To convert the parametric curve into Cartesian form,
rewrite the equation for [tex]x[/tex] to make [tex]\sin t[/tex] the subject:

[tex]x=2\sin t[/tex]

[tex]\implies \sin t=\dfrac{x}{2}[/tex]

Substitute this into the given equation for [tex]y[/tex]:

[tex]\begin{aligned}y & =3 \sin t\\\implies y & = 3 \left(\dfrac{x}{2}\right)\\y& = \dfrac{3}{2}x\end{aligned}[/tex]

Therefore, the Cartesian form of the parametric curve is:

[tex]y=\dfrac{3}{2}x[/tex]

Further Information

[tex]\dfrac{x^2}{2}+\dfrac{y^2}{3}=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]

[tex]\textsf{with center (0, 0), co-vertex }\sf \sqrt{2}, \textsf{ and vertex }\sqrt{3}[/tex]

[tex]x^2+y^2=6 \quad \textsf{is the equation of a circle}[/tex]

[tex]\textsf{with center (0, 0) and radius }\sf \sqrt{6}[/tex]

[tex]3x^2+2y^2=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]

[tex]\textsf{with center (0, 0), co-vertex }\sf \dfrac{\sqrt{3}}{3}, \textsf{ and vertex }\dfrac{\sqrt{2}}{2}[/tex]

Which side of a right triangle has the longest length?

Answers

Answer:

hypotenuse

Step-by-step explanation:

A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°)

How many solutions does this equation have?

–9d + 4 = –4 − 10d

Answers

Answer:

One Solution

Explanation:

–9d + 4 = –4 − 10d

change sides

–9d + 10d = -4 - 4

one solution ↓

d = -8

Answer:

One solution

Step-by-step explanation:

When solving for d, you get d = - 8

Can someone come up with something easy for me to memorize mode and mean and range and median pls . Im having finals and I need help

Answers

Yes I do a study guide always it works since you can use your brain while you are writing so you memorize it easily and you get a study guide too:)

Answer:

Mean-average

Median-middle

Mode-Most Often Digit Entered (Most Common Digit)

Range-Least To Greatest

Step-by-step explanation:

help!
Giving brainiest

Answers

Answer:

1) 9y^10

2) 560u^16 v^15

Step-by-step explanation:

A table of values, rounded to the nearest hundredth, for the function y = is given for
0≤x≤8.
What is the average rate of change of the function over the interval [2, 7] to the nearest
hundredth?

Answers

Answer:

A) [tex]0.13[/tex]

Step-by-step explanation:

If a function [tex]f(x)[/tex] is continuous over the interval [tex][a,b][/tex], then the average rate of change over that interval is [tex]\displaystyle \frac{f(b)-f(a)}{b-a}[/tex]:

[tex]\displaystyle \frac{f(b)-f(a)}{b-a}\\\\\frac{f(7)-f(2)}{7-2}\\ \\\frac{1.91-1.26}{5}\\ \\\frac{0.65}{5}\\ \\0.13[/tex]

Thus, the average rate of change over the interval [tex][2,7][/tex] to the nearest hundredth is [tex]0.13[/tex].

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