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Digiron [165]
4 years ago
9

Use a calculator to evaluate 2^19 to the nearest ten thousandth.

Mathematics
1 answer:
Kitty [74]4 years ago
6 0

Answer:

≈ 520 000

Step-by-step explanation:

2¹⁹=  524 288 ≈ 520 000

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A garden is made up of two squares and a quarter circle. What is the area of the garden?
Elanso [62]

9514 1404 393

Answer:

  100.27 ft^2

Step-by-step explanation:

The area of each square is ...

  A = s^2 = (6 ft)^2 = 36 ft^2

The area of the 1/4 circle is ...

  A = 1/4πr^2 = 1/4π(6 ft)^2 = 9π ft^2 ≈ 28.27 ft^2

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The area of the garden is the sum of the areas of the quarter circle and the two squares:

  A = 28.27 ft^2 + 2×36 ft^2 = 100.27 ft^2

The area of the garden is about 100.27 square feet.

7 0
3 years ago
1. a line with a slope of 1/3 passes through the point (3, 6) . which point also lies on this line?
valentina_108 [34]

1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:

  • y-6 = ⅓x - 1
  • y = ⅓x + 5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

  1. 3 = ⅓(6) + 5 -> 3 = 7, which is false.
  2. 6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
  3. -3 = ⅓(-3) + 5 -> -3 = 4, which is false.
  4. 3 = ⅓(-6) + 5 -> 3 = 3, which is true.

So, the answer is (4) (-6, 3)

2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:

  • y - 5 = 0.75x - 1.5
  • y = 0.75x + 3.5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

  1. 8 = 0.75(6)+3.5 -> 8 = 8, which is true.
  2. 9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
  3. 1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
  4. 2 = 0.75(6) + 3.5 -> 2 = 8, which is false.

So, the answer is (1) (6, 8).

3 0
2 years ago
A painter can paint 350 square feet in 1.25 hours. What is the painting rate in square feet per hour?
Amiraneli [1.4K]
350/1.25 = 280 sq feet per hr
6 0
3 years ago
Multiply (5xy-4)(5xy+4)
galben [10]

{25x {}^{2} y}^{2}  - 16

5 0
3 years ago
REVIEW
adell [148]

Answer:

12 weeks

Step-by-step explanation:

6 0
3 years ago
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