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
agasfer [191]
2 years ago
15

Hey if you're willing to help me with this, it will be very much appreciated, thanks maties and mates.

Mathematics
1 answer:
Nastasia [14]2 years ago
4 0

Answer:

Width=37in

Length=55in

Step-by-step explanation:

Let x in be the width dimension, the length dimension will be x+18 in. Area of a rectangle is calculated as A=lw. Given  the area as2143 sq in, x can be calculated as:

Area= x(18+x)\\\\=18x+x^2\\\\

#Substitute for every x in our function to find the true value of x:

x=37\\\\A=x^2+18x\\\\=37^2+18\times37\\\\=2035 \ in^2#l=37+18=55in

for x=38:

x=38\\\\A=x^2+18x\\\\=38^2+18\times38\\\\=2128 \ in^2#l=38+18=56in

For x=39:

x=39\\\\A=x^2+18x\\\\=39^2+18\times39\\\\=2223 \ in^2#l=39+1854in

From the calculations above, A television with a width of 37 in and length 55in has its area closest to 2143 sq in.

You might be interested in
The production cost, represented by y, of smart phone devices are equal to the product of computing components (a) and the squar
Marta_Voda [28]

The production cost is an illustration of a quadratic function

<h3>How to determine the equation</h3>

We have the following parameters:

  • Computing components (a)
  • Number of devices (x),
  • Labor (b)
  • Savings on reusable material (c)

Using the instructions in the question, the equation of the production cost would be:

y =ax^2 + bx -c

Hence, the production cost is y =ax^2 + bx -c

<h3>Change the subject of the equation</h3>

In (a), we have:

y =ax^2 + bx -c

Subtract bx - c from both sides

y - bx + c = ax^2

Divide through by x^2

a = \frac{y - bx + c}{x^2}

Hence, the equation that represents the computing component is a = \frac{y - bx + c}{x^2}

Read more about equations and functions at:

brainly.com/question/1214333

3 0
2 years ago
Read 2 more answers
In a small town in the Himalayas, the average snowfall each month is 6 inches. July is the month with the lowest average snowfal
OLga [1]

The function that models the above behavior is given as:

f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

= 5

<h3>What is a mathematical function?</h3>

A mathematical function is a function comprising of different variables that    represent different factors or events and the relationships between them.

<h3>
During what period is there more than 10 inches of snowfall?</h3><h3 />

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos  ((π/6) (7 + C) →  -5cos ((π/6) (7 + C)

= -1

→   ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→  cos ((π/6) (x-1) + 6 > 4/5

→  (π/6) (x-1)  > Cos⁻¹ (4/5)

(π/6) (x-1)  < 0.6435 and

(π/6) (x-1)  > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

Learn more about functions at;
brainly.com/question/25638609
#SPJ1

3 0
2 years ago
Ryan estimates the measurements of the volume of a container to be 36 cubic inches. the original volume of the popcorn container
PolarNik [594]

Answer:

  • difference: -4 cubic inches
  • % change: -10%

Step-by-step explanation:

The difference between the new volume and the original volume is ...

  (new volume) - (original volume) = (36 in³) - (40 in³) = -4 in²

__

The percentage change is figured with respect to the original volume:

  % change = (difference)/(original volume) × 100% = (-4 in³)/(40 in³) × 100%

  = -1/10 × 100% = -10%

4 0
3 years ago
You have to choose a cell phone plan that is least expensive in a month. Plan A is a flat rate $50 per month, unlimited data. Pl
pav-90 [236]
Why....are you asking..$50 is least expensive. Because you use about 36 gigabytes at least so 5•x=
Or $50+12
5 0
3 years ago
Read 2 more answers
2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. One day, her sink clogged. She
sleet_krkn [62]

Answer:Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Please help. Sorry to disturb you. Please help me.
    9·2 answers
  • A parallelogram with an area of 160.5 in has the height of measures 7.5 in find the length of the base
    8·2 answers
  • 9.6 divided by 2 estimate the quotient
    6·2 answers
  • How do you get from one number to the next using multiplacation or division? Exp: 100 to 106
    7·1 answer
  • Find thd <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D" id="TexFormula1" title="\frac{dy}{dx}" alt="\frac{dy}{dx}" a
    10·1 answer
  • Find the area of the region under the graph of f on [a, b].<br> f(x) = x2 − 8x + 17; [−1, 2]
    12·1 answer
  • Logx - 2log y + 3 log z
    12·1 answer
  • A bakery sells 12 gourmet orange zest cupcakes for $36.00. Select all the statements that are true.
    13·1 answer
  • Which side of coordinates does NOT represent a function?
    14·1 answer
  • HELP!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!