A cylinder has a radius of 14 inches and a height of 10 inches. A rectangular prism has
square bases with side lengths of 8 inches. The two figures have the same surface
area. What is the approximate height of the rectangular prism?

Answers

Answer 1

Answer:

61.973

Step-by-step explanation:

let the unknow side be x

surf of prism = 2*(8*8+8x+8x) = 2*(64+16x) = 128+ 32x

again, surface of cylinder = 2pi*r*(r+h) = 2 * pi * 14 * (14+10) = 672pi

now solve for x, when

128+32x = 672pi


Related Questions

Please help ! I only have 30 more minutes

Answers

1.5 negative and negative

KINDLY EXPLAIN HOW THE CENTROID DIVIDES THE MEDIANS IN A RATIO 2:1

Answers

Answer:

The centroid of a triangle divides each median in the ratio of 2:1. D, E, F are mid-points of BC, CA, AB. AD, BE and CF are medians. The medians cut each other are centroid G.

Helpful link:

https://qcweb.qc.edu.hk/math/Junior%20Secondary/Centroid%20divides%20medians%20in%202%20to%201.htm#:~:text=The%20centroid%20of%20a%20triangle,in%20the%20ratio%202%3A1&text=D%2C%20E%2C%20F%20are%20mid,each%20others%20are%20centroid%20G%20.

Answer:

The centroid of a triangle divides each median in the ratio of 2:1. D, E, F are mid-points of BC, CA, AB. AD, BE and CF are medians. The medians cut each other are centroid G.

Helpful link:

https://qcweb.qc.edu.hk/math/Junior%20Secondary/Centroid%20divides%20medians%20in%202%20to%201.htm#:~:text=The%20centroid%20of%20a%20triangle,in%20the%20ratio%202%3A1&text=D%2C%20E%2C%20F%20are%20mid,each%20others%20are%20centroid%20G%20.

Aliya made 8 liters of punch for a party. Did she make more than, less than, or exactly 800 milliliters? Explain your answer

Answers

Answer:

more than

Step-by-step explanation:

8 liters

We know that 1000 mL = 1 liter

8 liters * 1000ml / 1 liter = 8000 ML

That is more than 800 mL

More then 8 liters is 8000 milliliter

A net of a three-dimensional figure is shown. What is the surface area of the three-dimensional figure?

Answers

Answer:

184 ft^2

Step-by-step explanation:

in the picture

Answer:
184^2

Detailed explanation:

(07.02 LC)

How many solutions does the equation −4y + 4y + 2 = 2 have? (1 point)
Will mark brainliest

Answers

Answer:

infinite solutions

Step-by-step explanation:

−4y + 4y + 2 = 2

Combine like terms

2=2

This is always true so there are infinite solutions

Solve the equation 7(w + 13) = 35.

I know that it is:
7w + 20 = 35
- 20 - 20
7w/7 = 15/7
But I just don't know what 15 divided by 7 is as a fraction. Some one please help this is due in a week!

Answers

Answer:

w = -8

Step-by-step explanation:

7(w + 13) = 35

Divide each side by 7

7/7(w + 13) = 35/7

w+13 = 5

Subtract 13 from each side

w+13-13 =5-13

w = -8

Or you can distribute

7w +91 = 35

Subtract 91 from each side

7w+91-91 = 35-91

7w = -56

Divide each side by 7

7w/7 = -56/7

w = -8

Answer:

7(w+13)=35  {Here, 7 is wholly multiplied to w and 13}

7w+91=35

7w=35-91= -56

w= [tex]\frac{-56}{7}[/tex]

w= -8

Proof:

7(-8+13)= -56+91= 35

Therefore, w= -8

solve the following problem as a percent equation: 36 is 80% of what number?

Answers

Answer:

45

Step-by-step explanation:

80%= 4/5

36 = 4/5 * ?

Take 4/5 on the other side and flip it

36 * 5/4 = ?

45=?

36 is 80 percent of 45

A map is drawn to a scale of 1 cm to x m. A plot of land with an area of 28 hectares is represented by an area of 112 cm?. Find the value of x. (1 hectare = 10 000 m²)​

Answers

Answer:x=50

Step-by-step explanation:

28 hectares=28 0000 m2

1000

2500

50

the area ratio is the square of the scale drawn ratio

Write an equation to represent the following statement.
33 is 15 less than k.
Solve for k.

Answers

33 is fifteen less than k

---"Is" can be a key word in this statement, meaning equals

33 = k - 15

k = 48

Hope this helps!

33 + 15 = K
Answer is K = 48

Please help thx and I will mark you as brainliest!

Answers

First one : y=1/3x+4.32

Second one: y=3x-2

Explanation:  try Desmos. its a magical machine

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 6) and (x₂, y₂ ) = (- 1, 4)

m = [tex]\frac{4-6}{-1-5}[/tex] = [tex]\frac{-2}{-6}[/tex] = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 1, 4 ) , then

4 = - [tex]\frac{1}{3}[/tex] + c ⇒ c = [tex]\frac{12}{3}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{13}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{13}{3}[/tex] ← equation of line

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

The equation of a line in point- slope form is

y - b = m(x - a)

m is the slope and (a, b) a point on the line

Here m = 3 and (a, b) = (- 2, 0 ) , then

y - 0 = 3(x - (- 2) ) , that is

y = 3(x + 2)

y = 3x + 6 ← equation of line

I need help please thank you <:

Answers

Answer:

B

Step-by-step explanation:

We have the following

- 3,210,000

- 420,000

- 1,100,000,000

Now we rearrange the numbers as asked from least to greatest.

- 420,000

- 3,210,000

- 1,100,000,000

They answer should be B

The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:


Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C. (4 points)

Part B: What are the initial value and slope of the graph, and what do they represent? (6 points)

Answers

Answer:

Part A: label the points, so i know what ur talking about

Part B: m=1, the slope of the graph is 1

Step-by-step explanation:

the link will not open:(

Is this a function?

​{(–2, 4), (0, 5), (2, 4), (3, 5), (–2, 1), (1, 4)

PLZ HURRY WILL MARK BRAINLIEST

Answers

Answer:

not a function

Step-by-step explanation:

A function has a one to one relationship

No input value can have more than one output value

-2 as an input goes to both 4 and -1 so it has more than 1 output

This is not a function

Constance had a doctor appointment 62 miles from her house. Because traffic is heavy in the mornings, she knew it would take her 1 hour and 20 minutes to arrive at the doctor's office.

What is her average rate of speed?

Answers

46.5 mph speed=distance/time

Answer:

The answer is 46.5 mph.

Step-by-step explanation:

I don't know the explanation but I am fully 100% sure this is the correct answer because I have done this. I hope this answers your question :)

50 POINTS if u answer every question no explaining needed

Answers

Answer: 2nd one.

Step-by-step explanation:

Basically is more turkey for cheaper price...

The best buy is the second turkey.

1. 1 5/7

2. 1 mile per hour

3. 13. Well, 13.5 but since you can't cut half a board, it's rounded down to 13.

4. a. 3 batches of cookies

   b. 180 cookies

5. a. 1/8 of a pound of candy every day

   b. It will take him 8 days to eat 1 pound of candy

Let me know if any of these are wrong, I will correct them.

HELP PLEASE! Write an equation with variables on both sides that has a single solution "-1." Explain how to find that solution

Answers

ANSWER : HEY MATE

The solution to the equation 2x + 3 = x + 2, where x = -1, is found by isolating the variable "x" and simplifying the equation step by step

Let's create an equation with variables on both sides that has a single solution of "-1."

Let's call the variable "x."

An equation that meets these criteria is:

2x + 3 = x + 2.

We want to isolate the variable "x" on one side of the equation to find the solution.

Start by simplifying both sides of the equation.

On the left side, we have; 2x + 3;

And, on the right side, we have x + 2.

Now solve the equation as;

2x + 3 = x + 2

Subtract x on both sides;

2x - x + 3 = 2

x + 3 = 2

Subtract 3 on both sides;

x = 2 - 3

x = - 1

So, the solution to the equation 2x + 3 = x + 2, where x = -1, is found by isolating the variable "x" and simplifying the equation step by step.

To learn more about the equation visit:

brainly.com/question/28871326

#SPJ3

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter.

Answers

Answer:

250,000 meters (m)

Step-by-step explanation:

First swing she passed through an arc of:

10m

Each swing, she passed through an arc of :

9/10

9/10×10=10

25×10=250km

250km converted to the nearest m=

250,000 Meters (m)

Note: *This is my opinion, you can try it and see if it's correct,I'm sorry if it's not. Good luck!*

250,000 meters (m)
Explanation guy above me

Job seekers should try to work for their preferred companies __________.
A.
without searching the job market
B.
even if it is not the ideal position
C.
even if there are no current openings
D.
only if they know someone at the company

Answers

Answer: B

Step-by-step explanation:

B. even if it is not the ideal position

Mr. Jack conducted a survey among the students in his class to see what the most popular color was. The results of his survey are displayed in this table. Which statistic(s) can be used to represent the most popular color? A. the mean B. the median C. the mode D. the median and the mode

Answers

Answer:

i guess that was

C

ITS ATTICUS

Answer:

the answer is c

Step-by-step explanation:

hope it helps pls give brainliest

Copy the problems onto your paper, mark the givens and prove the statements asked.
b) CN = WN, ∠C ≅ ∠W.
Prove RN = ON

Answers

Answer:

Step-by-step explanation:

Considering triangle CNR and triangle WNO, there are:

∠C = W

CN = WN

∠CNR = ∠WNO (2 opposite angles)

deduce triangle CNR = triangle WNO

deduce RN = ON

(05.03 MC)What is the area, in square units, of the polygon shown here?

10 units. 13 units. 15 units. 18 units.

Answers

To resolve the proposed issue, an explanation is needed in which the subject is addressed

Answer:

13 square units

Step-by-step explanation:

Look at image attached

Divide shape into two rectangles

Rectangle 1:

width: 2 units

length: 5 - 1 = 4 units

AREA: 2 x 4 = 8 sq. units

Rectangle 2:

width: 1 units

length: 5 units

AREA: 1 x 5 = 5 sq. Units

Combine area of rectangles:

8 + 5 = 13 sq. Units

That is the area of the whole polygon.

Solve the equation -8(n + 7) = -88. What are two ways to start solving this equation? Choose BOTH ways.
1) Subtract 7 from both sides.
2) Use the distributive property.
3) Add 8 to both sides.
4) Add 88 to both sides.
5) Divide both sides by -8.

Answers

Answer:

Divide each side by -8

Distribute

Step-by-step explanation:

-8(n + 7) = -88.

Method 1

Divide each side by -8

n+7 = 11

Subtract 7 from each side

n = 4

Method 2

Distribute

-8n-56= -88

Add 56 to each side

-8n = -32

Divide by -8

n=4

Answer:

Distributive property & dividing -8 on both sides.

Step-by-step explanation:

You can begin solving the equation by either using the distributive property or dividing -8 on both sides.

Distributive Property:

[tex]-8(n+7)=-88\\-8n-56=-88\\-8n=-32\\n=4[/tex]

Dividing:

[tex]-8(n+7)=-88\\n+7=11\\n=4[/tex]

What is the expression for the sum of the first n odd numbers starting
1+3+5+.....

Answers

Answer:

(2n-1)

Step-by-step explanation:

The expression will be (2n-1) where n is the index of the odd number you wanna find

Answer:

2n-1

Step-by-step explanation:

i have 30 coins. some of them are dimes, and some of them are quarters. in total, i have $4.05. how many of each coin do i have?

Answers

Answer: 23 dimes & 7 quarters

Step-by-step explanation:

Dimes = 10¢ = $0.10Quarters = 25¢ = $0.25Number of dimes = xNumber of quarters = y

You can create two equations:

[tex]\left \{ {{x + y = 30} \atop {0.10x + 0.25y =4.05}} \right.[/tex]

Rearrange x + y = 30:

[tex]y=30-x[/tex]

Substitute it into the x-value of the other equation & solve:

[tex]0.10x + 0.25y =0.10x + 0.25(30-x)=4.05\\0.10x+7.5-0.25x=4.05\\0.10x-0.25x=4.05-7.5\\-0.15x=-3.45\\x=\frac{-3.45}{-0.15} =23[/tex]

With the x-value, substitute it back to the original equation to find y-value:

[tex]y=30-x=30-23=7[/tex]

Therefore, there are 23 dimes & 7 quarters.

There are 23 dimes and 7 quarters.

Given that, the total number of coins=30.

How to convert dimes to dollars?

To convert dimes to dollars we need to multiply the number of dimes by 0.1.

Let the number of dimes be x, and then the number of quarters will be 30-x.

Now, x×0.1+(30-x)×0.25=4.05

⇒-0.15x=-3.45

⇒x=23

30-x=7

Hence, there are 23 dimes and 7 quarters.

To learn more about equations visit:

https://brainly.com/question/2263981.

#SPJ5

The graph of a sinusoidal function intersects its midline at (0, -7) and then has a minimum point at (pi/4, -9)

Answers

Answer:

I don't know if you have any questions or need any further information please contact me at the sun with the sun with the sun with the sun

answer pls its ixl yes

Answers

Answer:

90.5

Step-by-step explanation:

Diagonal length of the base = √(8²+8²) = 8√2

height = 8,

so area = 8√2 × 8 (since the diagonal and the height makes the rectangle JFHL

so, 8√2 × 8

= 64√2

= 90.5

Answered by GAUTHMATH

The answer to this is 90.5

Please help meee WITH THIS

Answers

Alexander is correct. He uses P=2(l+w)
He uses p=2 as the term

Evaluate each verbal expression:

1. one fourth of two thirds
2. three fifths of one sixth
3. two fifths of one half

Answers

I want to say atleast 2

Answer:

1: 1/6 or 0.16666...      2: 1/10 or 0.1       3: 1/5 or 0.2

Step-by-step explanation:

1:    1/4x2/3    1x2=2     4x3=12    2/12=1/6

2:   3/5x1/6    3x3=3     5x6=30   3/30=1/10

3:   2/5x1/2      2x1=2    5x2=10    2/10=1/5

Please mark me the Brainliest!

at McDonald's, you get a $1 coupon for every 3 fries you buy. What is the least number of fries you could buy in $10 in coupons?

Answers

Answer:

You must buy at least 30 fries to get 10 dollar ins coupons

Step-by-step explanation:

We can write a ratio to find the minimum

1 dollar            10 dollars

--------------- = -------------

3 fries                x fries

Using cross products

1 *x = 10 * 3

x = 30

You must buy at least 30 fries to get 10 dollar ins coupons

Answer: 10 x 3 = 30
1 coupon= 3
10 coupon= 30

find the nth term
16,25,36,49

Answers

So studying the sequence you could see that 4multiplying itself gives 16 and 5 by itself 25 , 6 by itself 36 , 7by itself 49 so by all means the next will be 8 by itself which is 64

Answer:

Hello,

Step-by-step explanation:

16=(1+3)²

25=(2+3)²

36=(3+3)²

49=(4+3)²

[tex]u_n=(n+3)^2\\[/tex]

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