1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Softa [21]
3 years ago
6

If the volume of a cube is 12,167 cubic inches, what is the length of a side of the square?

Mathematics
1 answer:
Grace [21]3 years ago
3 0

Answer:

23 in

Step-by-step explanation:

Volume of a Cube: V = a³

Step 1: Define

V = 12,167 in³

a = ?

Step 2: Solve for side length <em>a</em>

  1. <u>Substitute:</u> 12,167 = a³
  2. <u>Cube root both sides:</u> 23 = a
  3. <u>Rewrite:</u> a = 23

Step 3: Check

<em>Plug in a to verify it's a solution.</em>

  1. <u>Substitute: </u>V = (23 in)³
  2. <u>Evaluate:</u> V = 12,167 in³
You might be interested in
What is the area of ruth's mural?
pentagon [3]

Answer:

Step-by-step explanation:

Comment

The shape consists of a rectangle on the bottom and a trapezoid on the top.

Rectangle

A rectangle has a very simple Area formula. It is Area = L*W. In this case the L = 14 m and is horizontal. The width is at right angles to the length and is marked as 3.

Area = L * w

L = 14

w = 3

Area = 14 * 3 =                            42 m^2

Trapezoid

The trapezoid is a bit more complicated and some things have to be found. First of all b1 is the first base of the trapezoid. It is parallel to and equal to  the Length of the rectangle. b2 is marked 10 meters. The height is just a bit more complicated. The total height of the figure is 8 m. You can't count the 3 m of the rectangle as part of the height because b1 comes only to the top of the rectangle. The height is 8 - 3 = 5

Area = 1/2(b1 + b2)*h/2

b1 = 14

b2 = 10

h = 8 - 3 = 5

Area = 1/2 ( 14 + 10) * 5 / 2

Area = 1/2 (24)*5

Area = 12 * 5

Area =                                      <u>    60 m^2</u>

Total Area                                  102 m^2

8 0
2 years ago
Perform the indicated operation 7 1/8 times 5 2/3
alukav5142 [94]
35/12. When you multiply the operation this is the answer you get.
3 0
3 years ago
Read 2 more answers
A constant force acts on a 30-g object and produces an acceleration of 2 m/s2. Find the force in dynes.
FinnZ [79.3K]

Answer:

Force      F = 60 ×10⁻⁵ N

Step-by-step explanation:

Given that mass of the given object (m)  = 30 grams

Given that the acceleration

                                 a = 2 m/s²

<u><em>Force:-</em></u>

The push or pull on an object with mass that causes it to change its velocity

  • Force can make a body that is rest to move
  • it can accelerate the speed of a moving body

<u><em>Formula for force</em></u>

The formula for force    F = m a

                                      F = 30 × 2

                                     F  = 60 gm/s²

                                   F = 60 ×10⁻⁵ N     (∵ 1 d y n = 1gm² = 10⁻⁵N

6 0
3 years ago
One canned juice drink is 20% orange juice, another is 5% orange juice, how many liters of each should be mixed together in orde
gavmur [86]

Answer:

11 L of 20% juice and 4 L of 5% juice

Step-by-step explanation:

Let

x L = amount of 20% juice

y L = amount of 5% juice

<u>20% juice:</u>

Amount = x L

Amount of juice =0.2x L

<u>5% juice:</u>

Amount = y L

Amount of juice =0.05y L

<u>16% juice:</u>

Amount = 15 L

Amount of juice =0.16\cdot 15=2.4 L

We mixed x L of 20% juice with y L of 5% juice to get 15 L of 16% juice, so

x+y=15

and

0.2x+0.05y=2.4

From the first equation:

x=15-y

Substitute it into the second equation:

0.2(15-y)+0.05y=2.4\\ \\20(15-y)+5y=240\\ \\300-20y+5y=240\\ \\-20y+5y=240-300\\ \\-15y=-60\\ \\15y=60\\ \\y=4\ L\\ \\x=15-4=11\ L

4 0
3 years ago
Evaluate.<br><br><br><br> 2⋅((42)−1)
Nana76 [90]

Answer:

Hi there!

Your answer is:

<em />

<em>Question was unclear! See below for answer possibilities!</em>

Step-by-step explanation:

<u>IF "-1" MEANS MULTIPLY BY NEGATIVE 1</u>

2((42) -1 ))

2(-42)

<h2><em>-84</em></h2>

<u>IF "-1" MEANS SUBTRACT 1</u>

2((42)-1)

2(41)

<h2><em>82</em></h2>

Hope this helps

5 0
4 years ago
Other questions:
  • Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi
    7·1 answer
  • What is the measure of each exterior angle of a regular polygon with 12 sides?
    13·1 answer
  • A jet plane flying at an altitude of 8000 meters drops 600 meters. Show calculator Select the best answer What is the new altitu
    12·1 answer
  • after elsa backed muffins, her brother ate 4 of them, he ate 2/5 of all the muffins, how many muffins did elsa bake?
    11·2 answers
  • The rectangle below has a area x^2-x-72 square meters and a length of x+8 meters what expression represents the width of the rec
    9·2 answers
  • X+y= -6 ?<br> A(y=3x -1 B(y=-x+3 C( y=-x- 6 D(y =-6x -1
    13·1 answer
  • Find the area of a rectangle with length (2x + 3) and width (x - 4). A) 2x2 - 11x - 12 B) 2x2 - 5x + 12 C) 2x2 + 11x + 12 D) 2x2
    5·1 answer
  • If j = k, then j + 9 = k + 9 represents which algebraic property
    11·1 answer
  • How do you solve linear equations (short definition)
    12·1 answer
  • What is the total amount you would have to pay back on a $4500 loan at 5% for 3 years?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!