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nekit [7.7K]
2 years ago
14

Please help the diagram shows a cube and a cuboid

Mathematics
1 answer:
Dafna11 [192]2 years ago
5 0

Answer:

2197 cm³

Step-by-step explanation:

surface area of cuboid = 2 * (5*9 + 33*9 + 33*5) = 1014

surface area of cube = 6 * x²   .... x: side length of cube

6x² = 1014

x² = 169

x = 13

volume of cube = x³ = 13³ = 2197 cm³

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Which of the following are assumptions needed for simple arithmetic
sergey [27]

Answer:

It depends, see answer below

Step-by-step explanation:

By arithmetic, we refer to the elementary operations between numbers. You can build the integer, rational, real and complex number systems from the natural numbers, so it is enough to obtain arithmetic for natural numbers.

In the axiomatic formulation of natural numbers, you assume that there exists a non empty set N such that multiplication and addition are defined in N with the commutative, associative, distributive and modulus properties. If you take this approach, you need all of the above: Numbers exist, Multiplication, Addition.

A different approach is the following: assume the Peano axioms: The set of natural numbers exists, and it obeys an inductive structure (without going in further details, every natural number has a unique sucessor, and mathematical induction is valid). You can define addition and multiplication inductively, so in this case you only need to assume that numbers exist.

7 0
3 years ago
A particular computer takes 13 minutes to download a 39 minute TV show. How long will it take the computer to download a 2 hour
ddd [48]

Answer:

40mins

Step-by-step explanation:

Change 2hrs into minutes first=120mins

if 39mins=13mins

120mins=?

Then you cross multiply

\frac{120mins}{39mins}  \times 13mins \\  = 40mins

5 0
3 years ago
Sunny earns $12
Nataly [62]

Answer:

12x-15

Step-by-step explanation:

Let

x ---> total hours worked this week

we know that

To find out how much money Sunny earned this week , multiply the total hours worked by the rate of $12 per hour and subtract $15 for a late delivery

so

12x-15

6 0
3 years ago
Grab the image of the rectangle DEFG reflection across the line x= 3​
zubka84 [21]

Answers:

  • D ' at (9, -9)
  • E ' at (5, -9)
  • F ' at (5, -2)
  • G ' at (9, -2)

Refer to the diagram below

========================================

Explanation:

For points D,E,F,G we will follow these steps

  1. Shift everything 3 units to the left so that the vertical line x = 3 will move on top of the y axis (which is the vertical line x = 0).
  2. Reflect across the y axis using the rule (x,y) \to (-x,y). Here we have the x coordinate flip in sign from positive to negative, or vice versa. The y coordinate stays the same.
  3. Shift everything 3 units to the right so we effectively undo the first step. This places the points in the proper final position.

Let's go through an example:

Point D is located at (-3, -9). Apply the three steps mentioned above.

  1. Shift point D three units to the left to arrive at (-6, -9)
  2. Reflect over the y axis to go from (-6, -9) to (6, -9)
  3. Lastly, shift 3 units to the right to move to (9, -9) which is the location of D'

In short, D(-3,-9) reflects over the line x = 3 to land on D ' (9, -9)

The other points E, F, G will follow the same steps to get the answers you see at the top.

The diagram below visually summarizes everything.

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

Side notes:

  • The distance from D to the line of reflection is the same as the distance from D' to the line of reflection. Put another way, the line of reflection bisects segment DD'. Points E,F,G follow the same property.
  • Going from D to E to F to G has us go counterclockwise. Going from D' to E' to F' to G' has us go clockwise. Any reflection transformation will flip the orientation.

3 0
3 years ago
What is the radius and diameter of the following circle?
alex41 [277]

Answer:

Diameter= 10.2  -  Radius=5.1

Step-by-step explanation:

5.1 x 2= 10.2

10.2/2=5.1

3 0
3 years ago
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