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SSSSS [86.1K]
3 years ago
11

Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.1

4 as an approximation for π. Need this ASAP

Mathematics
1 answer:
NeTakaya3 years ago
7 0

Answer:

22 square feet

Step-by-step explanation:

Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.

Area of circle = 3.14 × r × r

r = 10 ÷ 2

= 5

Area of circle = 3.14 × 5 × 5

= 78.5

Area of square = length × length

Area of square = 10 × 10

= 100

Area of shaded region = Square - Circle

= 100 - 78.5

= 21.5

= 22 (to the nearest square foot)

I hope this helps :)

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Step-by-step explanation: Just flip it on the other side

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Please 100 points and brainliest if u do them all plsssssss I rlly need help asap
AysviL [449]

Answer:

<u>Question 1</u>

F

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The volume of figure A can be found by multiplying (5 · 7)(2).

<u>Question 2</u>

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The total volume of the figure is 442 mm³

<u>Question 3</u>

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The volume of the triangular prism is 108 in³

Step-by-step explanation:

<u>Formula used</u>

Volume of a prism = base area × height

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Volume of a cube = s³  (where s is the side length)

---------------------------------------------------------------------------------------------------

<h3><u>Question 1</u></h3>

⇒ Volume of Figure A = (5 · 7)(2)

                                     = 70 cm³

⇒ Volume of Figure B = (13 · 7)(2)

                                     = 182 cm³

⇒ Total Volume = Volume of Figure A + Volume of Figure B

                           = 70 + 182

                           = 252 cm³

The first statement is false.

<u>Rewritten statement</u>:

The volume of figure A can be found by multiplying (5 · 7)(2).

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<h3><u>Question 2</u></h3>

⇒ Volume of rectangular prism = (15 · 15)(2)

                                                    = 450 mm³

⇒ Volume of central cube = 2³

                                            = (2 · 2 · 2)

                                            = 8 mm³

⇒ Total Volume = Volume of rectangular prism - Volume of cube

                           = 450 - 8

                           = 442 mm³

The third statement is false.

<u>Rewritten statement</u>:

The total volume of the figure is 442 mm³

---------------------------------------------------------------------------------------------------

<h3><u>Question 3</u></h3>

⇒ Volume of rectangular prism = (12 · 3)(8)

                                                    = 288 in³

⇒ Volume of triangular prism = (1/2 · 12 · 6)(3)

                                                 = 108 in³

⇒ Total Volume = Volume of rectangular prism + Volume of triangular prism

                           = 288 + 108

                           = 396 in³

The second statement is false.

<u>Rewritten statement</u>:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Remark

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