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?

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]

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

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:

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:

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

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:

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:(

Answer:

184 ft^2

Step-by-step explanation:

in the picture

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=?

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.

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

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

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

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

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.

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:

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Answer:

i guess that was

ITS ATTICUS

Answer:

the answer is c

Step-by-step explanation:

hope it helps pls give brainliest

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!

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!

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 :)

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

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

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!*

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]

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.

Answer: B

Step-by-step explanation:

Answer: 23 dimes & 7 quarters

Step-by-step explanation:

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.

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.

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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