Harriet needs to ship a small vase. The box she will use has a volume of 216 inches. If the side lengths are all the same what is the length of each side of the box?

Answers

Answer 1
Answer: Volume of the box:
V = a ³           ( a - side length )
a ³ = 216 in³
a = ∛216
a = 6 in
Answer:
The length of each side of the box is 6 inches.
Answer 2
Answer:

Answer: this is the answer I believe, Volume of the box:

V = a ³           ( a - side length )

a ³ = 216 in³

a = ∛216

a = 6 in

Answer:

The length of each side of the box is 6 inches


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A cone has a circular base with a diameter of 18 inches. the height of the cone is 40 inches. what is the approximate lateral area of the cone? use 3.14 for π and round to the nearest whole number. 565 square inches 580 square inches 1,131 square inches 1,159 square inches

Answers

The lateral area of a cone is expressed as:

Lateral surface area of a cone: L = πrs = πr√(r^2 + h^2)
                                                        
L = π(9)√(9^2 + 40^2)
                                                        L = 1159.248 

Therefore, the correct answer is the last option. Hope this answers the question. Have a nice day.

To solve this problem, we have to use the formula of lateral surface area of a cone and substituting the values into the formula and then solve.

The lateral surface area of this cone is 2260.8in^2

Lateral Surface Area of a Cone

The lateral surface area of a cone is calculated using

L_a = 2\pi rh

The data in the question are

  • diameter = 18in
  • radius = 9in
  • height = 40
  • π = 3.14

Let's substitute the values into the equation and solve

L_a = 2\pi r h\nL_a = 2 * 3.14 * 9 * 40 \nL_a = 2260.8in^2

The lateral surface area of this cone is 2260.8in^2

Learn more on lateral surface area of a cone here;

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What is the solution of the system of equations?
y = –2x + 8
y = x – 4

Answers

y = –2x + 8 
y = x – 4

Set them to equal to each other to solve for x.

x - 4 = -2x + 8

3x = 12

x = 4

Plug 4 for x in either equation.
 
y = x – 4

y = 4 - 4

y = 0

So (4, 0)
you could treat it as a matrix and solve it that way
graph and find intersection
etc.

9c-12-15c-8-3c=9c+12+-15c+-8+-3c

Answers

What do you need help on?

-9c-20

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Determine the value of A1 withreason/s​

Answers

Answer:A1 = a  If A1 represents a variable in an equation, we need the equation and any additional information to solve for its value. Once we have the equation and any given values, we can substitute those values into the equation and solve for A1.  Without more context or information, it is not possible to determine the value of A1. If you can provide the equation or any additional details, I will be able to help you further in determining the value of A1.

Step-by-step explanation:

If trapezoid JKLM is translated according to the rule (x, y) → (x + 8, y − 3), what are the coordinates of point L'?

Answers

The coordinate of point L' after translation is L'(6, -8)

Translation of coordinates

Given the coordinates of JKLM as J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5)

Using the translation rule

(x, y) → (x + 8, y − 3)

The coordinate of point L' after translaton will be;

L' = (-2+8, -5-3)
L' = (6, -8)

Hence the coordinate of point L' after translation is L'(6, -8)

Learn more on translation here: brainly.com/question/12861087

Another answer: According to the figure, the coordinates of JKLM are, J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5) JKLM is translated to J'K'L'M' by means of the rule (x+8, y-3), we should know that (x, y) are coordinates of the pre image, to find the coordinates of each image we have (x', y') such that x' =x+8, and y' =y-3. Therefore, the coordinates of L' can be found by L'(-2+8, -5-3)=(6, -8) the final answer is L'(6, -8).

How many dollars is 16% of $ 655

Answers

We can set up a proportion

Part/whole = %/100

X/655 = 16/100

655 x 16 = 10,480

10,480/100 = 104.8

16% of $655 is $104.80