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shutvik [7]
3 years ago
14

Cara is painting her living room. The room measures 10.6 feet by 11.6 feet. The ceiling is 10 feet

Mathematics
1 answer:
malfutka [58]3 years ago
3 0

Answer:

440 sq ft.

Step-by-step explanation:

Based on the given, the room is a rectangle with Length = 11.5 ft, width = 10.5 ft and height = 10ft. The total wall area can be calculated as the sum of the individual wall areas. The area of opposite walls can be said equal, therefore.

A = A1 + A2

A1 = (11.5 x 10) (2) since two opposite walls

A2 = (10.5 x 10) (2) since two opposite walls

Total = 440 sq ft.

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5(3a-1)-2(3a-2)=3(a+2)+v
STatiana [176]

Answer:

<u>The answer is option C. 6a-7</u>

Step-by-step explanation:

Given that

5(3a-1)-2(3a-2)=3(a+2)+v

Solve for v

∴ v = 5(3a-1)-2(3a-2) - 3(a+2)

∴ v = 15a - 5 - 6a + 4 - 3a - 6

∴ v = 15a - 6a - 3a - 5 + 4 - 6

∴ v = 6a - 7

<u>So the answer is option C. 6a-7</u>

5 0
3 years ago
How do the values in Pascal’s triangle connect to the coefficients?
damaskus [11]

Explanation:

Each row in Pascal's triangle is a listing of the values of nCk = n!/(k!(n-k)!) for some fixed n and k in the range 0 to n. nCk is <em>the number of combinations of n things taken k at a time</em>.

If you consider what happens when you multiply out the product (a +b)^n, you can see where the coefficients nCk come from. For example, consider the cube ...

  (a +b)^3 = (a +b)(a +b)(a +b)

The highest-degree "a" term will be a^3, the result of multiplying together the first terms of each of the binomials.

The term a^b will have a coefficient that reflects the sum of all the ways you can get a^b by multiplying different combinations of the terms. Here they are ...

  • (a +_)(a +_)(_ +b) = a·a·b = a^2b
  • (a +_)(_ +b)(a +_) = a·b·a = a^2b
  • (_ +b)(a +_)(a +_) = b·a·a = a^2b

Adding these three products together gives 3a^2b, the second term of the expansion.

For this cubic, the third term of the expansion is the sum of the ways you can get ab^2. It is essentially what is shown above, but with "a" and "b" swapped. Hence, there are 3 combinations, and the total is 3ab^2.

Of course, there is only one way to get b^3.

So the expansion of the cube (a+b)^3 is ...

  (a +b)^3 = a^3 + 3a^2b +3ab^2 +b^3 . . . . . with coefficients 1, 3, 3, 1 matching the 4th row of Pascal's triangle.

__

In short, the values in Pascal's triangle are the values of the number of combinations of n things taken k at a time. The coefficients of a binomial expansion are also the number of combinations of n things taken k at a time. Each term of the expansion of (a+b)^n is of the form (nCk)·a^(n-k)·b^k for k =0 to n.

6 0
3 years ago
X2 + 5x - 14 Select one of the factors of the quadratic expression.
vfiekz [6]
The equation factored would be (x+7)(x-2). As 7-2=5 and (7)(2)=14.
3 0
3 years ago
4+2(7)= <br><br> 62+8×3= <br><br> 3(2+5)−5(3)+8= <br><br> 24−6+12÷2×3=
Temka [501]

4+2(7)= 18

62+8x3= 86

3(2+5)-5(3)+8= 14

24-6+12÷2x3= 36

Hope this helps you! :D

3 0
3 years ago
The empty gas tank of a motor boat is to be filled. The tank is shaped like a rectangular prism with length 20 cm, width
Minchanka [31]

Answer:

t

Step-by-step explanation:

t

8 0
3 years ago
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