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
maks197457 [2]
2 years ago
12

The length of a log of wood is 90 in. How many cuts do you need to make to obtain

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
6 0

The greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The total length of the wood = 90 in

We have to cut it into the greatest number of pieces, where each piece will have a different length and the length of each piece is a whole number, in inches.

We can cut it like:

1 in, 2 in, 3 in, 4 in, and so on

The above shows the arithmetic sequence,

The sum of the n natural number is given by:

\rm S_n = \dfrac{n(n+1)}{2}

\rm 90 = \dfrac{n(n+1)}{2}

After solving, we will get a quadratic equation:

n² + n -180 = 0

After solving, we will get:

n = 12.92 and n = -13.92(term can not be negative)

n = 12 (taking whole number)

Thus, the greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

You might be interested in
What is his average speed for end the entire trip 280 miles<br> ?
-BARSIC- [3]

Answer:

20mph

Step-by-step explanation:

because when you divide the 280 it goes by 20 mph to get to 280 miles by quarters but in 20s

7 0
2 years ago
Which angles are supplementary angles?
7nadin3 [17]

Answer:

KJM and KJH

Step-by-step explanation:

Supplementary angles are angles that equal 180 degrees

7 0
3 years ago
Read 2 more answers
What is the answer for this question??? i need it
JulijaS [17]

Answer:

f(4)=14

Step-by-step explanation:

a) u do it by substituting 4 in places where there r 'x'

since this one say f(4) it only can go to the function which says f(x)
f(x)=4x-2
f(4)=4(4)-2, so according to BODMAS rule multiplication comes first rather than subtraction

so, f(4)=16-2=14
f(4)=14
do the others based on this, hope i explained well, if i did, please gimme brainliest :)

4 0
2 years ago
Select all of the following that are quadratic equations.​
Nesterboy [21]

Answer:

x^2 -2x = 4x+1

2x^2 +12x = 0

9x^2 +6x -3=0

Step-by-step explanation:

A quadratic equation has the highest power of x being squared

x^2 -2x = 4x+1

2x^2 +12x = 0

9x^2 +6x -3=0

These are all quadratic equations

5 0
3 years ago
Read 2 more answers
At a​ cookout, Mrs. Crawford makes
dedylja [7]

Answer:

I love cookouts I eat chicken nuggets and chicken yummy so delicious

7 0
3 years ago
Other questions:
  • -2&lt;× and x&lt;7<br><img src="https://tex.z-dn.net/?f=%20-%202%20%3C%20x" id="TexFormula1" title=" - 2 &lt; x" alt=" - 2 &lt;
    15·1 answer
  • For a few months, the function f(x)=15(3)^x represented the number of bees in a new hive x months from the time it was started.
    15·2 answers
  • Say that every single class in Full Sails Masters Degree in Game Design has a 5% failure rate
    14·1 answer
  • When coin a is flipped, it lands on heads with probability 0.4; when coin b is flipped, it lands on heads with probability 0.7.
    7·1 answer
  • Help me please i dont understand :(
    15·1 answer
  • Pls answer this . my answer choices are A)20/21 , B)20/29 , C)21/20 , and D)21/29
    8·1 answer
  • A customer just paid $35,620 for a delivery van. If the percent markup based on cost is 30%, what was the cost?
    11·2 answers
  • Solve for X: 3(x+1)=-2(x-1)-4
    15·1 answer
  • A market research analyst claims that 32% of the people who visit the mall actually make a purchase. You think that less than 32
    13·1 answer
  • Select the two answer choices that apply.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!