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Yakvenalex [24]
2 years ago
6

Erik bought a 32 ounce bag of candy. How

Mathematics
2 answers:
AnnyKZ [126]2 years ago
5 0

Answer:

2 pounds, so B

Step-by-step explanation:

Contact [7]2 years ago
5 0

Answer:

4 pounds

Step-by-step explanation:

he bought 4 pounds drfjikr

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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
3 years ago
What is the slope of the line with equation y−3=(x−2)?
castortr0y [4]

Step-by-step explanation:

The answer: -1/2

2-3/4-2= -1/2

4 0
3 years ago
0.79 x 3.7 =<br> please explain your process
mart [117]

This question is super easy.

0.79*3.7

=2.923

Hope this helps!

Thanks!

-Charlie

3 0
3 years ago
A number subtracted from 11 is the quotient of -20 and -2. Find the number.
Troyanec [42]

Answer:

1

Step-by-step explanation:

-20 divided by -2 is the same as 20 divided by 2, which is 10. 11-10=1 so the answer is 1.

8 0
3 years ago
Write an inequality for the sentence below and then solve and check it. The sum of w and nine is less than 18
Andre45 [30]

Answer:

w < 9

Step-by-step explanation:

w + 9 < 18

To solve this inequality, we MUST get the w by itself

Subtraction Property of Equality  w + 9 - 9 < 18 - 9

Answer w < 9

7 0
3 years ago
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