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Juli2301 [7.4K]
3 years ago
7

Mr. Ross is building a square ball room with a square dance floor surround by carpet to the wall. The room has a side length of

3x-4, and the dance floor has a side length of 2x-6. Write an expression that represent how much carpet will Mr. Ross need for his ball room.
Mathematics
1 answer:
katovenus [111]3 years ago
6 0

Answer:

He will need (x+2)(x-2) units squared.

Step-by-step explanation:

Alright, so to solve this it is necessary to find the area of the room and subtract the area of the dance floor from it.

Fortunately, squares are a special case where we only need to... well square the side.

Therefore:

a =  {(3x - 4)}^{2}  -  {(2x - 6)}^{2}

Great. Difference of two squares.

{a}^{2}  -  {b}^{2}  = ( a+ b)(a - b)

Therefore:

a = (3x - 4  +  2x - 6) \\ (3x - 4  -  2x +6 )  \\  \\  a = (5x  - 10)(x + 2) \\ a = 5 {x}^{2}  - 20 \\ a =  {x}^{2}  - 4 \\ a = (x + 2)(x - 2)

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Would someone please help me?!
ella [17]
So
bowl is a half sphere
cylinder is a cylninder
cone is cone

bowl:
area of circle=4/3 pi times r^3
half bowl=4/3 times 1/2 times pi times r^3=2/3pi r^3

cylinder=height times pi times radius^2
this cylinder=r times pi times r^2=pi times r^3


cone=1/3 times height times pi times radius^2
thgis cone=1/3 times r tiimes pi times r^2=1/3 times pi times r^3

compare
bowl=2/3 pi r^3
cylinder=pi r^3
cone=1/3 pi r^3
the cylinder is biggest
CYLINDER IS THE ANSWER




2.
sphwere=4/3 times radius^3 times pi
this sphere=4/3 times pi times r^3

cylinder=height times radius^2 time pi
this cylinder=2r times r^2 times pi=2r^3 times pi

cone=1/3 times height time r^2 times pi
this cone=1/3 times 2r times r^2 times pi=1/3 times 2r^3 times pi=2/3 times r^3 times pi

sphere:4/3 pi r^3
cylinder: 2 pi r^3
cone: 2/3 pi r^3
7 0
3 years ago
Read 2 more answers
Use a graphing calculator to find the value of the correlation coefficient r and determine if there is a strong correlation amon
Natali [406]

The value of the correlation is -0.0721 and it is a weak negative correlation

<h3>How to determine the correlation coefficient?</h3>

The points are given as:

(12, 28), (15, 50), (18, 14), (21, 28), (24, 36)

Enter the above points in a graphing calculator.

From the graphing calculator, we have the following summary:

<u>X Values</u>

  • Sum X = 90
  • Mean = 18
  • ∑(X - Mx)^2 = SSx = 90

<u>Y Values</u>

  • Sum Y = 156
  • Mean = 31.2
  • ∑(Y - My)^2 = SSy = 692.8

<u>X and Y Combined</u>

  • N = 5
  • ∑(X - Mx)(Y - My) = -18

<u>R Calculation</u>

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

This gives

r = -18 / √((90)(692.8)) = -0.0721

So, the correlation coefficient is -0.0721

The above is a negative correlation because it is less than 0 and it is a weak correlation because it is closer to 0 than -1

Hence, the correlation is a weak negative correlation

Read more about correlation coefficient at:

brainly.com/question/27226153

#SPJ1

7 0
2 years ago
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
ioda

Rectangle (left): A = 9 x 7 = 63

Rectangle (right): A = 2 x 10 = 20

Quarter circle: A = (1/4 x 3.14 x 3^2) = 7.065

A = 63 + 20 + 70.65

A = 90.065 square feet

Hope this helps! :)

5 0
3 years ago
Como resuelvo este ejercicio//-7-x+5=-3+5
Snezhnost [94]

Answer:

x=-4

Answer here

5 0
3 years ago
What is the perimeter of Building 1?
kicyunya [14]

Answer:

you will need a map scale

8 0
2 years ago
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