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
svlad2 [7]
2 years ago
5

A square rug has an inner square in the center. The side length of the inner square is x inches and the width of the outer regio

n is 4 in. What is the area of the outer part of the​ rug?
Mathematics
1 answer:
Gwar [14]2 years ago
6 0

Answer: area of the outer part of the​ rug= 16 -x²

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a square: Side²

Since the area of the rug including the inner square is:  

Area of the rug = 4² =16 in²

And the area of the inner square is equal to:

Area if the inner square = x²

To obtain the area of the outer part of the rug we have to subtract the area of the inner square to the area of the rug.

Area of the outer part of the rug= 16 -x²

Feel free to ask for more if needed or if you did not understand something.

You might be interested in
A standard deck of cards contains 52 cards. One card is selected from the deck.​(a)Compute the probability of randomly selecting
Aneli [31]

a. There are four 5s that can be drawn, and \binom43=4 ways of drawing any three of them. There are \binom{52}3=22,100 ways of drawing any three cards from the deck. So the probability of drawing three 5s is

\dfrac{\binom43}{\binom{52}3}=\dfrac4{22,100}=\dfrac1{5525}\approx0.00018

In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of \frac8{52}=\frac2{13}\approx0.15 of getting drawn.

b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability \frac{12}{52}=\frac3{13}\approx0.23 of being drawn.

c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of \frac{16}{52}=\frac4{13}\approx0.31.

- - -

Note: \binom nk is the binomial coefficient,

\dbinom nk=\dfrac{n!}{k!(n-k)!}={}_nC_k=C(n,k)=n\text{ choose }k

6 0
3 years ago
A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and
mojhsa [17]

Answer:

The size of the cardboard should be  26  in\ by\ 26in

Step-by-step explanation:

The diagram for this question is shown on the first uploaded image

     The volume of the box is  V = 2527  \ in ^3

The length and the Width of the card is  

      L = W = Z

From the question we are told that 7 in squares were cut from each corner

So the length and the width of the box  would be  

              L = W = (Z - 7)

And the height would be  H  =  7 in

Mathematically the volume of the box can be represented as

              V  = Length\ of\ bx  * Width\ of\ box * Height\ of\ box

So the Volume would be

         V =  (Z-7)(Z-7) * 7

Substituting values

         (Z-7) ^2 = \frac{2527}{7}

          (Z-7) ^2 = 361  

          (Z-7) ^2 = 19^2

=>   Z - 7 = 19

        Z = 19 + 7

         Z =26 \ in    

     

7 0
2 years ago
I'LL GIVE 25 POINTS!!!
pickupchik [31]

Answer:

i cant see the photo its messy or is it just me

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is a divisor in math
Fittoniya [83]
The Divisor Is The Number That You Are Dividing With. Example:
12/4 = ?
4 Is The Divisor.
8 0
2 years ago
How do I Simplify (5x-2)4 using the distributive property?
BartSMP [9]

Answer:

20x - 8

Step-by-step explanation:

using the distributive property to simplify (5x-2)4, you would multiply the outside term (4) by each inside term (5x-2).

for example:

4 × 5x = 20x

4 × -2 = -8

once you distribute the 4 into 5x-2, you are left with 20x - 8 which needs no further simplifying

4 0
3 years ago
Read 2 more answers
Other questions:
  • What's the solution to the inequality 1 2/3 > r - 7/12​
    13·1 answer
  • Use the segment addition postulate to solve for BC when AB = 37 and AC
    5·1 answer
  • PLZ HELP! I have no idea how to do this
    11·1 answer
  • Scarlet built a scale model of a ship, using the scale 3 : 32. The measurements of the model are given in the table. Dimension M
    6·2 answers
  • you travel 50 miles in 4 hours what is your average speed of travel over the 4 hours in miles per hour
    10·1 answer
  • How does the frequency of f(x) = cos(2x) relate to the frequency of the parent function cos x?
    7·1 answer
  • Please Help I need this ASAP!! The first and correct answer will be marked Brainlest!!
    12·2 answers
  • Jordan got new money bank
    8·2 answers
  • Coach leonardo used 9 1/2 meters of string to mark a soccer field for a game. He also used 2 2/5 meters of string to mark a spot
    6·1 answer
  • Find the range of the given function y= 8x +1, where x>2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!