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
Luda [366]
3 years ago
15

A square piece of paper has an area of x2 square units. A

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

Answer:

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip =  length * width = 2*x = 2x

Area of square piece of paper when  rectangular strip is taken away from it

= Area of square - area of rectangular strip

= x^2 -2x

It is given that Area of square piece of paper when  rectangular strip is taken away from it is 120 square units.

Thus,

x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot  be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

You might be interested in
What is the probability that a random point is chosen on the grid below in the shaded area?
RSB [31]

Answer:

17/25

Step-by-step explanation:

In this case we are asked for the probability that a random point is chosen in the lower grid in the shaded area, we must count the total number and amount of shaded squares.

In total there are 25 squares and 17 shaded ones.

This means that the answer is 17/25, the answer is not within the options, but if it is 8/25, which would be the probability of choosing a random point in a non-shaded or white area

5 0
3 years ago
For spirit week, a high school club is making wristbands from paper. The wristbands are designed to have a height of 1.8 centime
Vesnalui [34]

Answer:

don't worry be happy come and join crh-tnyi-bru

Step-by-step explanation:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

6 0
3 years ago
Michael just became a personal trainer and is finalizing his pricing plans. One plan is to charge $36 for the initial consultati
nexus9112 [7]

The cost will be same for one session. The cost will be $128.

Step-by-step explanation:

Given,

Initial consultation charges for Plan One = $36

Per session fee = $92

Let,

x be the number of sessions.

O(x) = 92x+36

Initial consultation charges for Plan Two = $86

Per session fee = $42

T(x) = 42x+86

For same cost;

O(x) = T(x)

92x+36=42x+86\\92x-42x=86-36\\50x=50

Dividing both sides by 50

\frac{50x}{50}=\frac{50}{50}\\x=1

Putting x=1 in T(x)

T(1)=42(1)+86\\T(1)=42+86\\T(1)=128\\

Putting x=1 in O(x)

O(x) = 92(1)+36\\O(x) = 92+36\\O(x) = 128

The cost will be same for one session. The cost will be $128.

Keywords: function, division

Learn more about functions at:

  • brainly.com/question/3614284
  • brainly.com/question/3783529

#LearnwithBrainly

5 0
3 years ago
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square?
AlexFokin [52]
The area of a square would me multiplying the width times the length and then multiplying by one half would be like splitting the square in half so your answer would be that last one right there. 6*6= area then multiply by 1/2 = half of area  Hope this helps! :D 
6 0
3 years ago
For the triangle shown below, complete the following table.
dem82 [27]

Answer:

Step-by-step explanation:

In the given triangle

With reference angle A

perpendicular (P) = 3

hypotenuse (h) = 5

So  sin A = p/h = 3/5

and

With reference angle C

perpendicular (p)=  4

hypotenuse (h) = 5

Sin C = p/h = 4/5

hope it helps :)

3 0
3 years ago
Other questions:
  • 10 + (2 x 3)2 ÷ 4 × 1 over 2 to the power of 3
    12·2 answers
  • Compare the decimals 13.03 and 13.30. <br><br> Which comparison is correct?
    9·1 answer
  • Please can someone help me like right now .thank you
    12·2 answers
  • Pls helppp meee its due in 2:30 pm may 18 help!
    11·1 answer
  • PROSZĘ O SZYBKĄ POMOC! DAJE NAJ!
    6·2 answers
  • Find the value of the missing coefficient a in the equation y = a(x - 3)(x + 5) if the graph goes through the point (1, -6)
    10·2 answers
  • Which expression is equivalent to
    9·1 answer
  • Which of the following is a linear function?
    12·2 answers
  • HELP PLZ HELPPPPP FINALS ARE TODAY
    5·1 answer
  • An online website rates restaurants that serve hamburgers on a scale from 0 to 10. The graph below shows the ratings of all the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!