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
exis [7]
3 years ago
8

A rectangular piece of cardboard that is 7 inches by 20 inches has squares of length x inches on a side cut from each corner.

Mathematics
1 answer:
adoni [48]3 years ago
4 0

Answer:

The remaining area in the form of a polynomial function A(x)= 140-4x^2where  0 < x < 3.

Step-by-step explanation:

Breadth of rectangular piece of cardboard = 7 inches

Length of rectangular piece of cardboard = 20 inches

Area of cardboard = Length \times Breadth

Area of cardboard = 20 \times 7

Area of cardboard =140 in^2

Squares of length x inches on a side cut from each corner.

Length of square = x

Area of 1 square = Side^2 = x^2

Area of 4 squares = 4x^2

Area of remaining portion A(x)= 140-4x^2

So, the remaining area in the form of a polynomial function A(x)= 140-4x^2where  0 < x < 3.

You might be interested in
Reduce to simplest form.
BigorU [14]
Convert 3 6/2 to an improper fraction so: 12/2
convert 2 4/5 to 14/5 
multiply the numerators of the improper fractions so 12*14, which is 168.
multiple the denominators so 2*5, which is 10.
the new fraction is 168/10, so you divide 168 divided by 10, which is 16.8, or 16 4/5.
8 0
3 years ago
If sin(theta°) = 0.5, and we know that cos (theta°) &lt; 0, then what is the smallest possible positive value of theta?
9966 [12]

Answer:

150°

Step-by-step explanation:

It is given that CosФ < 0 i.e CosФ is negative.

Therefore, the minimum the value of Ф for which CosФ <0 will be in the second quadrant i.e 90° < Ф < 180°.

Now it is also given that, Sin Ф =0.5 {the value of SinФ is positive because Sin value is positive in second quadrant.}

⇒ Ф =180° - Sin⁻¹ (0.5) = 180°-30° =150° (Answer)

4 0
3 years ago
Please help me answer this question​
vfiekz [6]

9514 1404 393

Answer:

  the correct answer is marked

Step-by-step explanation:

The graph ranges vertically between 9 and 15, starting at 9 (the minimum) when x=0. The minimum appears again at x=350.

This means the vertical offset is (9+15)/2 = 12, and the amplitude is (15 -9)/2 = 3. The period is 350, so the coefficient of x is (2π/350). All of the answer choices agree on these parameters.

So, the selection comes down to an understanding of how the sine and cosine curves vary. The sine curve starts at zero and increases from there. The cosine curve starts at its maximum (1) and decreases. Here, the curve starts a its minimum and increases, so could be the opposite of the cosine function.

  y = -3cos(2πx/350) +12 . . . . . . matches choice C

5 0
2 years ago
When I think of a number, double it, then add seven, I get 25. what number did I think of?
sweet [91]

Answer:

9

Step-by-step explanation:

25-7=18

half of 18 is 9

5 0
2 years ago
Read 2 more answers
Find the number of sides of a regular polygon if each interior angle of the polygon is
inn [45]

Answer:

the answer for this question is not found here the answer is 108 degree

7 0
2 years ago
Other questions:
  • What is the multiplicative inverse of <br> -7<br> 9
    7·1 answer
  • HELP ME PLEASE!!!
    12·1 answer
  • Multiply. 5 1/2 x 2 4/5 =<br> User: Add. 3.38 + 86.3 + 0.796 =
    5·2 answers
  • Multiply<br>(-19/29)(11y)​
    14·1 answer
  • Please help me ASAP!!!!!
    11·1 answer
  • Given a linear function y =23x+2, which two points make the line?
    7·1 answer
  • Simplify 1 3/4 : 2 1/3​
    13·2 answers
  • Why is 4 +(-3) equal to 1
    11·2 answers
  • What is 3.28 divided by 11.48 pls show me the step by step work
    13·1 answer
  • I CAN GIVE BRAINLIEST PLEASE HELP
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!