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Feliz [49]
2 years ago
12

Five less than one fourth of my age is 12

Mathematics
1 answer:
Darya [45]2 years ago
7 0
1/4x-5=12
1/4x=17
x=68
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A circle has a sector with area 33 pi and a central angle of 11/6 pi radians. What is the area of a circle?
Mashutka [201]

Answer:

36π

Step-by-step explanation:

The area of a circle is given as:

A = \pi r^2

where r = radius of the circle

The area of a sector of a circle is given as:

A_s = \frac{\alpha }{2\pi} * \pi r^2

where α = central angle in radians

Since \pi r^2 is the area of a circle, A, this implies that:

A_s = \frac{\alpha }{360}  * A

A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.

Therefore, the area of the circle, A, is:

33 \pi = \frac{\frac{11 \pi}{6} }{2 \pi} * A\\\\33\pi = \frac{11}{12} * A\\\\=> A = \frac{33\pi * 12}{11}\\ \\A = \frac{396 \pi}{11} \\\\A = 36\pi

The area of the circle is 36π.

5 0
2 years ago
Read 2 more answers
Kanna wants to buy 6 of flowers. Each flower cost $1.30 but the bundle of 6 cost $7.50. What is the better deal for Kanna.
Nat2105 [25]

Answer: 6 for $7.50

Step-by-step explanation:

6 * 1.30 = $7.80

6 for $7.50

7 0
2 years ago
Help meeeeeeee please :(.
vodomira [7]

Answer:

x^{3} -5x^{2} -6x +8 \frac{-2}{x + 3}

Step-by-step explanation:

            x^{3} -5x^{2} -6x +8 \frac{-2}{x + 3}

x + 3 / x^{4} - 2x^{3}-21x^{2} -10x +22

         -(x^{4} + 3x^{3})

                 -5x^{3} -21x^{2} -10x +22

                 -(-5x^{3} -15x^{2})

                              -6x^{2} -10x +22

                            -(-6x^{2} -18x)

                                            8x +22

                                          -(8x + 24)

                                              \frac{-2}{x + 3}

4 0
3 years ago
jenny wrapped 30 gifts,jenny wrapped 5 times as many gifts as hong let n be the number of gifts that hong wrapped
Whitepunk [10]

n = 6

6 x 5 = 30

hope this helped, please mark brainliest. :)

7 0
3 years ago
Read 2 more answers
Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown.
AfilCa [17]

The volume of a cuboid toy chest is equal to their product of the length,

width, and height.

  • The correct option for the toy chest she should purchase is; <u>Only toy chest A will provide the necessary storage space</u>.

Reasons:

The dimensions of the toy chest are;

Toy chest A;

Length = 5 feet

Width = 4 feet

Height = 2 feet

Toy chest B;

Length = 4 feet

Width = 2 feet

Height = 4 feet

Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³

Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³

The volume of the toy chest Mrs. Smith needs = 35 ft.³

The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³

The correct option is; <u>Only toy chest A will provide the necessary storage space</u>

<em>Possible question options obtained from a similar question found online are;</em>

<em>Either toy chest have the storage space needed</em>

<em>Neither has the storage space needed</em>

<em>Only toy chest A</em>

<em>Only toy chest B</em>

<em />

<em />

Learn more about calculating volumes of various shapes here:

brainly.com/question/3789826

8 0
2 years ago
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