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

Simplify this expression.

8(h-4)-h-(h+7)

Solve step-by-step

Answers

Answer:

6h - 39 or 3(2h - 13)

Step-by-step explanation:

Distribute the terms in the parentheses.

8(h - 4) - h - (h + 7)8h - 32 - h - h - 7

Combine like terms

8h - h - h - 32 - 76h - 393(2h - 13) [by grouping]

8 (h - 4) - h - (h + 7)

8h - 32 - h - h - 7

6h - 39

3 (2h - 13)

the path of a cliff diver as he dives into a lake, is given by the equation y = -(x-10)^2+75, where y metres is the diver’s height above the water and, x meters is the horizontal distance travelled by the diver. what is the maximum height the diver is above the water?

Answers

Answer:

The highest point will be (10, 75)

Step-by-step explanation:

Segments AB and BC are both tangent to the circle shown above. What is the length of BC? *Note: photo not necessarily to scale

Answers

Both the tangents are equal to each other. Then the length of BC will be 5.

What is a circle?

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

A tangent to a circle is a line that passes through the centre of the circle precisely once.

As illustrated in the diagram, there are precisely two tangents to a circle that may be drawn from a location just outside of the circle.

Then both the tangents are equal to each other.

The length of BC will be 5.

The diagram is shown below.

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Araba bought an electric Cooker for 540.00 ghanacedis at a discount of 10%.Find the actual price of the eletric cooker.

Answers

Actual price = 540*(100/90)=600

Answer:

600.00

Step-by-step explanation:

Understanding :

Let P be the actual price of the containerSince there was a 10% discount, 540.00 is 90% of the actual price0.9P = 540P = 540.00/0.9P = 600.00

600.00 is the actual price of the electric cooker.

Please help

Use the following data set to answer questions 9-16:

11, 18, 8, 15, 24, 14 9.

9. Identify the median. Round to the nearest tenth.

10. Calculate the mean. Round to the nearest tenth.

11. Calculate the mode. Round to the nearest tenth.

12. Predict how the median will change if a 21 is added to the data set. Identify the new median.

13. Predict how the mean will change if an 18 is added to the data set. Calculate the new mean.​​

Answers

Answer:

9. Median: 14

10. Mean: 14.1

11. Mode: No Mode

12. New Median: 14.5

13. New Mean: 14.625

1000 ft.
Problem 3.2
100 ft.
A large rectangular swimming pool is 1000 feet long,
100 feet wide, and 10 feet deep.
The pool is filled to the top with water.
How much water does the pool hold?
Submit

Answers

Answer:

1,000,000

Step-by-step explanation:

you just get the Volume of the shape

I don’t know what to do for this

Answers

Answer:

Step-by-step explanation: then let's be kinda quaint in the matter. And assume your understanding of word integration in a 5-Manifold?

Which of the following formulas expresses h in terms of l and​ s?


(choices shown in attached image)


(picture for problem shown in attached image)

Answers

Answer: D

Step-by-step explanation:

they take 5 days to drive 679 miles to Seattle, how many miles will they drive each day?

Answers

Answer:

135.8

Step-by-step explanation: 679miles/5days =135.8miles/days

I hope it help

If they take 5 days to drive 679 miles to Seattle. Then the number of miles that they drive each day will be 135.8 miles per day.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

They take 5 days to drive 679 miles to Seattle.

Then the number of miles that they drive each day will be

→ 679 / 5

→ 135.8 miles per day.

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Please help me with question 12. I don’t know the answer.

Answers

Answer: B. ((5-x))/(x^(2)+3x-4)-:((x^(2)-2x-15))/(x^(2)+5x+4)

exclusions: x≠1, x≠-1, x≠-3, x≠-4, x≠5

Step-by-step explanation:

the units of a two-digit numeral is 5 more then the tens digit. the number is three times the sum of its digits. find the numeral

Answers

Answer:

27

Step-by-step explanation:

Let x = ten's digit

Let y = units' digit

Given: the units of a two-digit numeral means

that our final answer will be a 2 digit number (xy)

Given: 5 more than the tens digit  means

y is 5 more than x (y = x + 5)

Given: the number is three times the sum of its digits.

xy is 3 times x + y

A two digit positive integer can be written as 10x + y, where x is the tens digit and y is the ones digit

y = x + 5 and 10x + y = 3(x + y)

x - y = -5

7x - 2y = 0

Multiply the first equation by -2:

-2x + 2y = 10

7x - 2y = 0

Add the equations to get 5x = 10

So, x = 2 and y = x + 5 = 7

Reminder:

Let x = ten's digit

Let y = units' digit

The number is 27

-6-5 (subtracting integers))​

Answers

Just adding both the numericals because they both have same sign that is negative

-6-5

-11 answer

Answer:

-11

Step-by-step explanation:

Change the minus sign to addition

6 + 5

= 11

= -11

it is negative 11 because since the signs are the same in front of the 2 numbers (negative sign) they both add together and keep the negative in front of it

Answer = -11

A+B+A+D=32

What does A+B=?

Answers

The value of A+B is 16

This question is related to division.

To solve it, we will: divide the number after the equality, by the total number of variables (letters) that have.

A + B + A + D = 32

32 ÷ 4 = 8

< We know that the value of each variable is 8. So, to find the value of A + B, let's just add their respective values.

A + B

8 + 8 = 16

So, the value of A + B will be 16

GIVING BRAINLIEST!!!!!

Answers

Answer:

x = 18

Step-by-step explanation:

The angles (x)° and (4x)° are complementary, meaning they form a 90° angle.

x + 4x = 90

Combine like terms :

x (1 + 4) = 905x = 90

Divide both sides by 5 :

5x/5 = 90/5x = 18

Which is the graph of x-y=1?

Answers

Answer:

Top right

Step-by-step explanation:

x - y = 1

rearrange for y = mx + b

-y = -x +1

y = x - 1

crosses the y axis at (0, -1)

y = -1 when x = 0

x = 1 when y = 0

The graph that satisfies these is the on eon the top right

Sally is packing for a holiday when she realizes that she only has enough room in her suitcase for two pairs of shoes. She randomly selects two pairs to pack from the 31 pairs of shoes that she owns in total.

If Sally has 6 pairs of high heels, what is the probability that she packs at least one pair of these?

Probability =__________

Answers

Using the hypergeometric distribution, it is found that there is a 0.3548 = 35.48% probability that she packs at least one pair of high heels.

What is the hypergeometric distribution formula?

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

In this problem, we have that:

She has 31 pairs of shoes, hence N = 31.She has 6 pairs of high heels, hence k = 6.She selects two pairs, hence n = 2.

The probability that she packs at least one pair of high heels is given by:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,31,2,6) = \frac{C_{6,0}C_{25,2}}{C_{31,2}} = 0.6452[/tex]

Then:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.6452 = 0.3548[/tex]

0.3548 = 35.48% probability that she packs at least one pair of high heels.

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The circle graph shows how Elsa divides her time between all of the sports she plays per week.



Elsa played sports for 20 hours last week. How many more hours did she play baseball than volleyball?
Answers:
A:1
B:3
C:4
D:5

Answers

The number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3

Calculating time spent on sport

From the question, we are to determine how many hours Elsa played baseball than volleyball

From the given information,

Elsa played sports for 20 hours

From the circle graph,

She spent 25% of the time on baseball

Time spent on baseball = 25% × 20 hours

Time spent on baseball = (25/100) × 20 hours

Time spent on baseball = 0.25 × 20 hours

Time spent on baseball = 5 hours

For time spent on volleyball

From the circle graph, she spent 10% of the total time on volleyball

Time spent on volleyball = 10% × 20 hours

Time spent on volleyball= (10/100) × 20 hours

Time spent on volleyball= 0.1 × 20 hours

Time spent on volleyball= 2 hours

The number of more hours spent on baseball than volleyball

= 5hours - 2 hours

The number of more hours spent on baseball than volleyball = 3 hours

Hence, the number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3

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solve for x
x/7 = 3/5 enter answer as decimal ​

Answers

Hey there!



ORIGINAL EQUATION:
x/7 = 3/5

CROSS MULTIPLY THE FRACTIONS

x(5) = 3(7)

5(x) = 3(7)

SIMPLIFY IT!

5x = 21

DIVIDE 5 to BOTH SIDES

5x/5 = 21/5

SIMPLIFY IT!
x = 21/5

x = 4 1/5


Therefore, the answer should be:

x = 21/5

OR

x = 4 1/5


EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE BOTH EQUIVALENT TO EACH OTHER!


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Select Yes or No to state whether each data set is likely to be normally distributed.

the age of people entering a super store

(Yes or no)

the heights of people entering a super store

(Yes or no)

the number of 8 oz glasses of milk in 1 gallon

(Yes or no)

the gallons of milk sold at the super store in one week

(Yes or no)

Answers

The age of people entering a super store  is likely to be normally distributed.

The heights of people entering a super store  is likely to be normally distributed.

The number of 8 oz glasses of milk in 1 gallon is not likely to be normally distributed.

The gallons of milk sold at the super store in one week is likely to be normally distributed.

What is normal distribution?

A normal distribution is a probability distribution that is symmetric around the mean of the distribution. When depicted on a graph, a normal distribution is bell-shaped.

People of all ages and heights would enter a superstore. Thus, the distribution is likely to be normal.  The  8 oz glasses of milk in 1 gallon is a constant amount. Thus, the distribution is not likely to be normal.

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Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer:

See below ~

Step-by-step explanation:

More revenue would be generated at $5 than $17 because on the graph, when the price is at $5, there is about $3750 in revenue compared to when the price is $17, the revenue is $2500.The company should sell their product at $10. At this price, the revenue they will make is $5,000.The domain is the possible intervals in which x lies. Therefore, the domain is : 0 ≤ p ≤ 20.

#17. estimate the perimeter and the area of the shaded figure

Answers

Answer:

perimeter of pentagon is 5s

area of Pentagon is 1/2 P*a

Lisa
and penny are guests at a beachside hotel. lisa is laying on a towel at the beach which is 50 feet from the base of the hotel. when shi
looks up at an angle of 54.5 degrees, she can see her sister penny waving to her from the hotel window.
draw a scale representation of the triangle that models the situation and can be solved to find the stralght-line distance between penny
and lisa. round calculations to the nearest foot. each unit on the grid represents five feet.
drawing tools
click on a tool to begin drawing.
& delete
undo
0 reset
select
point
line segment

Answers

The straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

Let's suppose the distance between the Lisa and Penny is x feet.

We can draw a right-angle triangle for this situation.

As we can see in the right angle triangle.

tan54.5 = x/50  (from the right-angle triangle)

x = 50tan54.5

x = 70.09 ≈ 70.1 feet

Thus, the straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.

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A grandson's age in months is equal to his grandfather's age in years. The difference
of the grandson's age in years and the grandfather's age in years is 77. Find the
grandson's age in years.

Answers

The difference of the grandson's age in years and the grandfather's age in years is 77. Therefore, the age of the grandson is 7 years.

How to use equations to find the age?

A grandson's age in months is equal to his grandfather's age in years.

Recall,

12 months = 1 year

Hence,

let

x = age of grandson in month

It is the same age in years for the grandfather.

Therefore,

x = age of grand father in years

The difference of the grandson's age in years and the grandfather's age in years is 77. Therefore,

x - x / 12 = 77

12x - x/12 = 77

11x / 12 = 77

cross multiply

11x = 924

x = 924 / 11

x = 84

Therefore, the grandson age in in years is 84 / 12 = 7 years.

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a right triangle has a hypotenuse of 25 inches and a height of 7 inches .what is the area of the triangle?

Answers

87.5

25x7=175

175/2=87.5

Agree & disagree statements: CIrcles

Circle A has a diameter of 18 inches.
Circle B has a circumference of 36 inches.

write the letter of the card in the correct column next to the letter, write your explanation as to why it belongs in the agree or disagree columns.

1. Circle A has an approximate circumference of 56.5 inches. true or false? explain.
2. Circle A has an area of 324r in2, True or false? explain
3. Circle A is approximately 151 square inches greater than Circle b. True or false ? explain.

Answers

Answer:

Hope the pictures will help you

pls help sixowiskosixo

Answers

The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

Quadratic Equation

Quadratic equation are polynomials with a second degree as it's highest power.

An example of a quadratic equation is

[tex]y = ax^2 + bx + c[/tex]

The given quadratic equation is [tex]24x^2 + 2x = 15[/tex]

Let's rearrange the equation

[tex]24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0[/tex]

This implies that

a = 24b = 2 c = -15

The equation or formula of quadratic formula is given as

[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]

We can substitute the values into the equation and solve

[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}[/tex]

From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

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Tyrone receives a discount of $8.40 on a hat that normally costs $28.00 .
what percent discount did he receive on the hat
explain how you know
please explain for me

Answers

Answer:

30%

Step-by-step explanation:

percentage = (discount/total amount)*100

= (8.40/28)*100=30%

HELP NOW PLEASEE
h(x)=x^(2)+x+9

find h (-2)
find h (4)
and find h (0)

Answers

Answer:

11, 29, 9

Step-by-step explanation:

substitute x = - 2, 4, 0 into h(x)

h(- 2) = (- 2)² + (- 2) + 9 = 4 - 2 + 9 = 2 + 9 = 11

h(4) = 4² + 4 + 9 = 16 + 4 + 9 = 29

h(0) = 0² + 0 + 9 = 0 + 0 + 9 = 9

What two operations would you use to solve the equation 3/4m - 6 = 12

-multiplication
-division
-addition
-subtraction

Answers

To solve this expression, we can use the mathematical operations: addition, multiplication and division. So the correct value, will be m = 1/24

This expression is an equation of the first fractional degree. To calculate, let's:

move the negative - term to the other side of the positive equation, thus adding:

3/4m - 6 = 12

3/4m = 12 + 6

3/4m = 18

— Now, let's calculate without being fractional. We will isolate the variable multiply the terms with each other:

3/4m = 18

3 = 4m . 18

3 = 72m

— Finally, we'll turn this equation into a fraction, like this - simplifying the numerator and denominator by the same real number:

3 = 72m

m = 3/72

m = 3÷3 / 72÷3

m = 1/24

Therefore, the correct value of this expression is m = 1/24

Pam earns x dollars, Ryan earns (x+60) dollars and Rufus earns (x - 10) dollars. Together they earn a total of 530 dollars.

a) Calculate the value of x

b) the amount Ryan earns. ​

Answers

Answer:

A) 160 B) 220

Step-by-step explanation:

Combine like terms.

3x + 50 = 530.

Subtract 50 from both sides.

3x = 480.

Divide both sides by 3.

x = 160.

Since Ryan earns x + 60, add 60.

160 + 60 = 220.

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