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
Paul [167]
3 years ago
15

A worker cut pieces of string that are each 3/5 yard in length how many pieces of string can the worker cut from a piece of stri

ng that is 1/4 yard in length
Mathematics
1 answer:
Jet001 [13]3 years ago
6 0

We cannot cut any pieces from the 1/4yard string as it is smaller than the 3/5 yard pieces we want to cut.

<u>SOLUTION: </u>

It is given to us that a worker cut pieces of string that are each 3/5 yard in length.

We have been asked to find out how many pieces of string can the worker cut from a piece of string that is 1/4 yard in length.

The total length of the string available for cutting is \frac{1}{4} yard.

We shall convert \frac{1}{4} into decimal form for the simplicity of the calculation. Which gives us:

= \frac{1}{4}

= 0.25 yard

Now the small pieces that want to be cut of 0.25 yard are given as \frac{3}{5} yards. So, now we convert \frac{3}{5} yard into decimal as well for uniformity.

= \frac{3}{5}

= 0.6 yard

So from the calculations we can see that 0.25 yard is smaller than 0.6 yard.

Therefore, we cannot cut any pieces from the \frac{1}{4} yard string as it is smaller than the pieces we want to cut.

You might be interested in
If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the
Brrunno [24]

Answer:

\left(100\pi - 150\sqrt{3}\right) square inches.

Step-by-step explanation:

<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be 10 inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

Let segment \sf CH be a height on side \sf AB. Since this triangle is equilateral, the size of each internal angle will be \sf 60^\circ. The length of segment

\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}.

The area (in square inches) of this equilateral triangle will be:

\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}.

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}.

<h3>Area of of the circle that is not covered</h3>

Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is 10 inches, the radius of this circle will also be 10 inches.

The area (in square inches) of a circle of radius 10 inches is:

\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi.

The area (in square inches) of the circle that the hexagon did not cover would be:

\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}.

3 0
3 years ago
Hozumi recorded the daily high temperatures for an 18-day period in the table shown please I need this really badly
mr Goodwill [35]

Answer:

the answer is letter A

Step-by-step explanation:

7 0
3 years ago
9(5x + 1) ÷ 3y
Vsevolod [243]

Answer:

Step-by-step explanation:

5x + 1 is a SUM.

3y is a TERM.

9(5x + 1) is a PRODUCT.

9 is a FACTOR of 9(5x + 1).

5x + 1

---------- is a QUOTIENT.

  3y

5 is the COEFFICIENT of x.

8 0
3 years ago
Read 2 more answers
I don’t know what to do please don’t give me files I don’t get it
QveST [7]

Answer:

i believe its dependent

Step-by-step explanation:

4 0
3 years ago
Please help explain if you can​
pishuonlain [190]

Answer:

A

Step-by-step explanation:

58-90 bc its a right triangle

hope this helps

4 0
3 years ago
Other questions:
  • 156 divided by 12 equals?
    11·2 answers
  • Express the ratio below in its simplest form.1:1.5<br>​
    14·2 answers
  • Which best describes the solution for this equation 0.5(4x+3)=5x-2.5
    9·2 answers
  • Write the linear inequality shown in the.The gray represents the shaded region.
    9·1 answer
  • A single hab can have a length that is below 17 cm, but it must be no less than 9 cm. Write the compound inequality that describ
    9·1 answer
  • 23556 rounded to the nearest ten thousand
    13·1 answer
  • What plus what equals 4 but multiplies to equal -5?
    12·1 answer
  • If darren wants to get 65 balloons, how many yards of string will he need
    11·1 answer
  • Need help ASAP plz
    14·2 answers
  • A business owner issues a paycheck in the amount of two thousand, three hundred fifty-seven dollars and forty-nine cents. What i
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!