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OLEGan [10]
3 years ago
8

Eduardo counted the square tiles on the floor of his rectangular room the area of each tile is one square foot the floor has 6!r

ows of tiles and 7 tiles in each row what is the area of the floor of Eduardo's room?
Mathematics
1 answer:
Deffense [45]3 years ago
5 0

Answer:

6 X 7= 42

Step-by-step explanation:

to find the area of anything its length times width times height (LXWXH)

since they arent giving a width here its only LXH=?  

so 6X7=42

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Answer:

inside the circle

Step-by-step explanation:

the radius is is 6 and =5.8 < 6

So the point (-6 , -6) is inside the circle.

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Mai skated miles, and Clare skated 3/5 farther than that. Write an expression for the distance Clare
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5 is the whole so they skated 2/5 less than the original whole
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PSYCHO15rus [73]

Take some trinomial expansions to find some useful expressions and their values.

• 2nd degree expansion

x + y + z = 7 \\\\ \implies (x+y+z)^2 = x^2+y^2+z^2+2(xy+xz+yz) = 7^2 \\\\ \implies xy+xz+yz = \dfrac{49-33}2 = 8

• 3rd degree expansion

x+y+z=7 \implies (x+y+z)^3 = 7^3 \\\\ \implies \\ 243 = x^3+y^3+z^3+3(x^2y+x^2z+xy^2+y^2z+xz^2+yz^2) + 6xyz \\\\ \implies \\ x^2y+x^2z+xy^2+y^2z+xz^2+yz^2 + 2xyz = \dfrac{343 - 145}3 = 66

• 4th degree expansion

x+y+z=7 \implies (x+y+z)^4 = 7^4 \\\\ \implies \\ 2401 = x^4+y^4+z^4+4(x^3y+x^3z+xy^3+y^3z+xz^3+yz^3) \\\\ ~~~~~~~~~~~~+ 6(x^2y^2+x^2z^2+y^2z^2) + 12(x^2yz+xy^2z+xyz^2) \\\\ \implies \\\\ x^4+y^4+z^4 = 2401 - 4(x^3y+x^3z+xy^3+y^3z+xz^3+yz^3) \\\\ ~~~~~~~~~~~~~~~~~~~~~~- 6(x^2y^2+x^2z^2+y^2z^2) - 12(x^2yz+xy^2z+xyz^2)

Simplify:

x^3y+x^3z+xy^3+y^3z+xz^3+yz^3 \\\\ ~~~~ = x^2 (xy+xz) + y^2 (xy+yz) + z^2 (xz + yz) \\\\ ~~~~ = x^2 (xy+xz+yz) + y^2 (xy+xz+yz) + z^2 (xy + xz + yz) - (x^2yz + xy^2z + xyz^2) \\\\ ~~~~ = (x^2+y^2+z^2) (xy+xz+yz) - xyz (x+y+z) \\\\ ~~~~ = 264 - 7xyz

x^2y^2+x^2z^2+y^2z^2 \\\\ ~~~~ = xy\cdot xy + xz \cdot xz + yz \cdot yz \\\\ ~~~~ = xy(xy+xz+yz) + xz(xy+xz+yz) + yz(xy+xz+yz) - 2(x^2yz+xy^2z+xyz^2) \\\\ ~~~~ = (xy+xz+yz)^2 - 2xyz(x+y+z) \\\\ ~~~~ = 64 - 14xyz

x^2yz+xy^2z+xyz^2 = xyz (x + y + z) = 7xyz

Then the equation we got from the 4th degree expansion reduces to

x^4+y^4+z^4 = 2401 - 4(264-7xyz) - 6(64-14xyz) - 12(7xyz) \\\\ ~~~~~~~~~~~~~~~~~= 961 + 28xyz

and all we need now is the value of xyz.

In the 3rd degree expansion, we have

x^2y+x^2z+xy^2+y^2z+xz^2+yz^2 \\\\ ~~~~ = x(xy + xz) + y(xy + yz) + z(xz + yz) \\\\ ~~~~ = x(xy+xz+yz) + y(xy+xz+yz) + z(xy+xz+yz) - 3xyz \\\\ ~~~~ = (x+y+z)(xy+xz+yz) - 3xyz \\\\ ~~~~ = 56 - 3xyz \\\\ \implies (56 - 3xyz) + 2xyz = 66 \\\\ \implies xyz = -10

So, we end up with

x^4+y^4+z^4 = 961 - 280 = \boxed{681}

4 0
1 year ago
The profit (p) a baker earned, in dollars, is proportional to the number of muffins (m) sold. This equation represents this rela
Nady [450]

P = 0.75m represents the proportional relationship, therefore, the profit earned for each muffin sold is: $0.75.

<h3>What is Proportional Relationship?</h3>

If two variables, i.e. P and m are directly proportional to each other, the relationship between them can be represented as P = km, where k is the constant.

Given that P = 0.75m represents the proportional relationship between the profit earned and muffins sold, the constant, k, is 0.75, which is the profit earned for each muffin sold.

Learn more about proportional relationship on:

brainly.com/question/15618632

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3 years ago
The area of a square court is 50 square feet. Estimate the side lengths
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The answer to this problem is 12.5
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4 years ago
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