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natali 33 [55]
3 years ago
14

CHECKING YOUR UNDERSTANDING

Mathematics
1 answer:
noname [10]3 years ago
8 0

Answer:

1) 81.67 cm² (Option A)

2) 28.26 m² (Option B)

3) 153.86 mi.² (Option D)

4) 329.90 m² (Option A)

5) 63.585 ft.² (Option C)

Step-by-step explanation:

<u>GENERAL FORMULAES TO BE USED IN THIS QUESTION :-</u>

Diameter of a circle with radius 'r' = 2r

Area of a circle with radius 'r' = πr²

<u>SOLUTION :-</u>

1) Diameter of the dinner plate = 10.2 cm

Radius of the dinner plate = 10.2/2 = 5.1 cm

⇒ Area of the circle = π(5.1)² = 26.01π cm² ≈ 81.67 cm²

2) Length of his leash = 3m

⇒ Area the dog has to run around = π(3)² = 9π m² = 28.26 m²

3) Radius of the circular range of storm = 7 mi.

⇒ Area of the circular range of storm = π(7)² = 49π mi.² = 153.86 mi.²

4) Diameter of carousel = 20.5 m

Radius of carousel = 20.5/2 = 10.25 m

⇒ Area of the carousel = π(10.25)² = 105.0625π m² ≈ 329.90 m²

5) Radius of the range of sprinkler = 4.5 ft.

⇒ Area of the range of sprinkler = π(4.5)² = 20.25π ft.² = 63.585 ft.²

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7 0
3 years ago
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4 0
3 years ago
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AnnyKZ [126]
For the first problem the answer is -5/2

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2x−7+10=−2
2x+−7+10=−2
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(Combine Like Terms)
2x+3=−2

Step 2: Subtract 3 from both sides.
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3 years ago
Use the coordinates of the plotted points to complete the calculation below. Pay attention to negative signs.
MArishka [77]

Answer:

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Step-by-step explanation:

The <em>change in y</em> is the difference in y-coordinates between the lower right point and the upper left point. Similarly, the <em>change in x</em> is the difference in the x-coordinates of those points.

  \text{Slope}=\dfrac{\text{change in y}}{\text{change in x}}=\dfrac{\boxed{3}-6}{2-\boxed{1}}\\\\=\dfrac{\boxed{-3}}{\boxed{1}}\\\\\\=\boxed{-3}

7 0
3 years ago
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