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
icang [17]
3 years ago
7

A bulletin board has a perimeter of 200 inches. Which equation expresses the area A(w) of the bulletin board as a function of it

s width, w?
A. A(w) = 100w - w2
B. A(w) = 200w - w2
C. A(w) = w2 – 100w
D. A(w)=w2 - 200w​
Mathematics
1 answer:
o-na [289]3 years ago
6 0

Answer: A(W) = 100W -W^{2}

Step-by-step explanation:

The formula for calculating the perimeter is given as :

P = 2 ( L + W )

the perimeter is given as 200 , that is

200 = 2 ( L + W )

Dividing through by 2 , we have

100 = L + W

Make L the subject of the formula ;

L = 100 - W

The formula for the area is given as Length x width , substituting the values , we have :

A = LW , since , L = 100 - W , we have

A = (100- W) (W)

A = 100W -W^{2}

Therefore :

A(W) = 100W -W^{2}

You might be interested in
The lost value of equipment over a period of time is called depreciation. The simplest method for calculating depreciation is​ s
marshall27 [118]

Answer:

D= \frac{1}{11} 15966 = 1451.454

And we can conclude that with this method the depreciation each year is about 1451.454$ for the item analyzed.

And we can construct the following table:

year       Depreciation      Ramining value

0                   X                      15966

1               1451.454               14514.545

2              1451.454               13063.091

3              1451.454               11611.638

4              1451.454               10160.183

5              1451.454               8708.729

6              1451.454               7257.275

7              1451.454                5805.821

8              1451.454                4354.367

9              1451.454                2902.913

10             1451.454                1451.454

11              1451.454                     0      

Step-by-step explanation:

Previous concepts

Straight line depreciation is "the default method used to recognize the carrying amount of a fixed asset evenly over its useful life".

Solution for the problem

We assume that the useful life for this problem is 11 years

For this case we have the following function in terms of th years (n) and the initilal price (x)

D= \frac{1}{n} x

For this case we have the following values:

x = 15966 represent the initial cost for a item

n = 11 the year on which we want to find the depreciation

And if we replace these values into our function we got this:

D= \frac{1}{11} 15966 = 1451.454

And we can conclude that with this method the depreciation each year is about 1451.454$ for the item analyzed.

And we can construct the following table:

year       Depreciation      Ramining value

0                   X                      15966

1               1451.454               14514.545

2              1451.454               13063.091

3              1451.454               11611.638

4              1451.454               10160.183

5              1451.454               8708.729

6              1451.454               7257.275

7              1451.454                5805.821

8              1451.454                4354.367

9              1451.454                2902.913

10             1451.454                1451.454

11              1451.454                     0      

5 0
3 years ago
The hypotenuse of a 45°-45°-90° triangle measures 128 cm. A right triangle is shown. The length of the hypotenuse is 128 centime
Aleks [24]

Answer:

64√2 or 64 StartRoot 2 EndRoot

Step-by-step explanation:

A 45-45-90 traingle is a special traingle.  Let's say one of the leg of the triangle is x. The other one is also x because of the isosocles triangle theorem.  Therefore, using the pytagorean theorem, you find that x^2+x^2=c^2.  2(x)^2=c^2.  You then square root both sides and get c= x√2.  

Therefore, the two legs are x and the hypotenuse is x√2.  x√2=128 because the question says that the hypotenuse is 128.  Solve for x by dividing both sides by √2.  X=128/√2.  You rationalize it by multiplying the numberator and denominator of the fraction by √2.  √2*√2= 2.

X=(128√2)/2= 64√2 cm.

Since X is the leg, the answer would be 64√2

3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!! i’ll mark brainlest
soldi70 [24.7K]

Answer:

3

Step-by-step explanation:

It owuld be 3 cuz the least significant digit would be used to determine the precision right? So it would be 3!

4 0
3 years ago
What is the solution to this system of equations?<br> y = -3x - 2<br> 6x +2y = -4
stepan [7]

Answer:

There are infinite solutions

Step-by-step explanation:

Both of these equations are the exact same. 6x+2y=-4 in y=mx+b form is y = -3x - 2. This means that since they are exactly the same, there are infinite solutions.

5 0
3 years ago
Find the angles of the rhombus if the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5.
Ainat [17]

Answer: Angles are (\frac{1080}{11}) ^{\circ} and (\frac{900}{11})^{\circ}

Step-by-step explanation:

Here, the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5.

Let the  angles formed by diagonals and the sides of the rhombus are 6x and 5x.

Where x is any number.

Thus, By the property of rhombus,

Diagonals perpendicularly bisect each other.

Therefore, 6 x + 5 x + 90^{\circ} = 180^{\circ}

⇒ 11 x + 90^{\circ} = 180^{\circ}

⇒ 11 x = 90^{\circ}

⇒ x = \frac{90}{11}

Therefore, the  angles formed by diagonals and the sides of the rhombus are (\frac{540}{11} )^{\circ} and (\frac{450}{11})^{\circ}

⇒ The angles of rhombus are  (\frac{1080}{11} )^{\circ} and  (\frac{900}{11})^{\circ}


7 0
4 years ago
Other questions:
  • 18 ounces in 6 bottles x ounces in 24 bottles
    14·2 answers
  • Given two lines, prove that if the slopes are the same and the y-intercepts are the same, then the lines coincide. Assume two li
    10·1 answer
  • Is 3a a term for expressions
    14·1 answer
  • Are intergers a subset of rational numbers
    10·2 answers
  • Addition and subtraction facts for the number 358
    7·2 answers
  • Answer this in the next 4 minutes and you can earn the BRAINLIEST answer!!! Please answer ASAP. Thanks in advance! :D
    5·1 answer
  • Shortly after takeoff, an airplane is climbing 250 feet for every 1,000 feet it travels. Estimate the airplane’s climb angle whi
    9·1 answer
  • Hi pls help i’ll give brainliest
    13·1 answer
  • Can someone help with this please ASAP
    8·1 answer
  • What is 7 divided by -84
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!