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
gizmo_the_mogwai [7]
3 years ago
13

If you have 24 square pieces of wood, describe all

Mathematics
1 answer:
nika2105 [10]3 years ago
6 0

Answer:  11 (or 10 if the square is not to be counted)

<u>Step-by-step explanation:</u>

Start with 1: If you have 1 piece on the top <em>and 1 piece on the bottom</em>, then there are 24 - 2 = 22 pieces left for the sides, which results in 11 on each side.  Continue this with 2 pieces on the top, then 3 pieces on the top, etc.  You will eventually see a pattern.

Here are all of the ways you can lay out the pieces of wood to form 4 sides:

1 x 11

2 x 10

3 x 9

4 x 8

5 x 7

6 x 6  --> this is a square.  should this be counted as a rectangle?

7 x 5

8 x 4

9 x 3

10 x 2

11 x 1

You might be interested in
Simplify (3m²n⁴)³ pls it would really help if right you get brainleist <br>​
Hunter-Best [27]

Answer:

27m^6n^12

Step-by-step explanation:

(3)^3 = 27

m^2^3 = m^6

n^4^3 = n^12

8 0
3 years ago
Read 2 more answers
Satellite dishes are shaped like parabolas to optimally revive signals. The cross section of a satellite dish can be modeled by
Anna11 [10]

The cross section of the satellite dish is an illustration of a quadratic function

The quadratic function that models the cross-section is y = 1/6(x^2 - 9)

<h3>How to determie the equation of the cross-section?</h3>

The given parameters are:

Width = 6 feet

Depth = 1.5 feet

Express the width the sum of two equal numbers

Width = 3 + 3

The above means that, the equation of the cross section passes through the x-axis at:

x = -3 and 3

So, we have:

y = a(x - 3) * (x + 3)

Express as the difference of two squares

y = a(x^2 - 9)

The depth is 1.5.

This is represented as: (x,y) =(0,-1.5)

So, we have:

-1.5 = a(0^2 - 9)

Evaluate the exponent

-1.5 = -9a

Divide both sides by -9

a = 1/6

Substitute 1/6 for a in y = a(x^2 - 9)

y = 1/6(x^2 - 9)

Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)

Read more about quadratic functions at:

brainly.com/question/1497716

7 0
2 years ago
. Complete the missing steps in the paragraph proof of Theorem 3-8.
Crank
To solve for the missing steps, let's rewrite first the problem.

Given:

In a plane, line m is perpendicular to line t or  m⟂t
                  line n is perpendicular to line t  or  n⟂t


Required:

Prove that line m and n are parallel lines


Solution:

We know that line t is the transversal of the lines m and n.

With reference to the figure above, 

∠ 2 and ∠ 6 are right angles by definition of <u>perpendicular lines</u>. This states that if two lines are perpendicular with each other, they intersect at right angles.

So ∠ 2 ≅ ∠ 6. Since <u>corresponding</u> angles are congruent. 

Therefore, line m and line n are parallel lines.
<span>
<em>ANSWERS: perpendicular lines, corresponding</em>

</span>
8 0
3 years ago
4.009 x 10-3 in decimal form
katrin2010 [14]

Answer:

the 3 represent a one thousand

so that means 4.oo9* 1000 = =49

4 0
3 years ago
(y - 2)2 = y2 – 6y + 4<br> Is this statement true or false?
trasher [3.6K]
<h3>Answer: False</h3>

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

Explanation:

I'm assuming you meant to type out

(y-2)^2 = y^2-6y+4

This equation is not true for all real numbers because the left hand side expands out like so

(y-2)^2

(y-2)(y-2)

x(y-2) .... let x = y-2

xy-2x

y(x)-2(x)

y(y-2)-2(y-2) ... replace x with y-2

y^2-2y-2y+4

y^2-4y+4

So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4

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

Another approach is to pick some y value such as y = 2 to find that

(y-2)^2 = y^2-6y+4

(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2

0^2 = 2^2 - 6(2) + 4

0 = 4 - 6(2) + 4

0 = 4 - 12 + 4

0 = -4

We get a false statement. This is one counterexample showing the given equation is not true for all values of y.

6 0
2 years ago
Read 2 more answers
Other questions:
  • Determine the missing side length:
    6·1 answer
  • Jim made 14 L of lemonade for his party. His guests drank 4500 mL
    6·1 answer
  • Bristol is analyzing positive daily customer feedback on different restaurants to find the perfect place to invest. She would li
    6·1 answer
  • 5.28 A manufacturer knows that on average 20% of the electric toasters produced require repairs within 1 year after they are sol
    10·1 answer
  • Whats the answer to this?
    8·2 answers
  • WILL MARK BRAINLIEST In a scavenger hunt through the city, Item 1 lies due north
    8·2 answers
  • Can someone please help ​
    11·1 answer
  • Which other parts must be equal for triangle ABC= triangle MTR by
    14·1 answer
  • The dot plot plots below show the number of pets
    8·2 answers
  • Root 12 of Rood 12, see attached document
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!