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sergiy2304 [10]
2 years ago
7

The commutative property applies to which of the following operations?

Mathematics
1 answer:
kondaur [170]2 years ago
6 0

Answer:

B

Step-by-step explanation:

Addition and multiplication are both commutative. Subtraction, division, and composition of functions are not. For example, 5 + 6 = 6 + 5 but 5 – 6 ≠ 6 – 5. More: Commutativity isn't just a property of an operation alone

Hope this helps, mark brainliest if possible.:)

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Pretty Pavers company is installing a driveway. Below is a diagram of the driveway they are
prohojiy [21]

Answer:

The most correct option is;

(B) 958.2 ft.²

Step-by-step explanation:

From the question, the dimension of each square = 3 ft.²

Therefore, the length of the sides of the square = √3 ft.

Based on the above dimensions, the dimension of the small semicircle is found by counting the number of square sides ti subtends as follows;

The dimension of the diameter of the small semicircle = 10·√3

Radius of the small semicircle = Diameter/2 = 10·√3/2 = 5·√3

Area of the small semicircle = (π·r²)/2 = (π×(5·√3)²)/2 = 117.81 ft.²

Similarly;

The dimension of the diameter of the large semicircle = 10·√3 + 2 × 6 × √3

∴ The dimension of the diameter of the large semicircle = 22·√3

Radius of the large semicircle = Diameter/2 = 22·√3/2 = 11·√3

Area of the large semicircle = (π·r²)/2 = (π×(11·√3)²)/2 = 570.2 ft.²

Area of rectangle = 11·√3 × 17·√3 = 561

Area, A of large semicircle cutting into the rectangle is found as follows;

A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (\theta - sin\theta) \times r^2

Where:

\theta = 2\times tan^{-1}( \frac{The \, number \, of  \, vertical  \, squrare  \, sides  \ cut  \,  by  \  the  \  large  \,  semicircle}{The \, number \, of  \, horizontal \, squrare  \, sides  \ cut  \,  by  \  the  \  large  \,  semicircle} )

\therefore \theta = 2\times tan^{-1}( \frac{10\cdot \sqrt{3} }{5\cdot \sqrt{3}} ) = 2.214

Hence;

A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (2.214 - sin2.214) \times (11\cdot\sqrt{3} )^2 = 128.3 \, ft^2

Therefore; t

The area covered by the pavers = 561 - 128.3 + 570.2 - 117.81 = 885.19 ft²

Therefor, the most correct option is (B) 958.2 ft.².

4 0
2 years ago
find the derivative with respect to x of f(x)=4x , and use it to find the equation of the tangent line to y=4x at x= 5
seropon [69]

Answer:

F(x)=4X X=5

F(5)=4X

4(5)

20

Y=4(20)

Y=80

4 0
2 years ago
Helen had $12 but spent $3 of it. What per cent did she spend?
Scrat [10]

Answer:

25%

Step-by-step explanation:

3/12 = 0.25 = 25%

6 0
1 year ago
Read 2 more answers
Mona wants to buy carpet for a floor in her house.
Musya8 [376]

Answer:

13.05

Step-by-step explanation:

8 0
3 years ago
Describe the transformation from the graph of f(x)=x+8 to the graph of g(x)=x-3
andreev551 [17]

Answer:

A.)

Step-by-step explanation:

Translations are as follows: Up is + on Y axis, down is - on Y axis. Right is + on X axis and left is - on X axis.

The function f(x) = x+8 is translated to (0,8) since their is no number in a bracket with x (example: f(x)= (x-2)+5 would be (2,5) since the X axis is taken as the opposite sign).

g(x) = x-3 translates to (0,-3) which is 11 units down from f(x)

7 0
3 years ago
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