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umka2103 [35]
3 years ago
12

On a coordinate plane, a circle has a center at (8, 9). Concentric circles are circles with the same center but different radii.

Which equations represent concentric circles along with the circle shown in the graph? Check all that apply. x2 + y2 = 25 (x – 8)² + (y – 9)² = 3 (x – 8)² + (y – 9)² = 14 (x – 8)² + (y + 9)² = 3 (x + 8)² + (y + 9)² = 25 (x + 9)² + (y + 8)² = 3
Mathematics
1 answer:
Aloiza [94]3 years ago
6 0

Answer:

  • (x – 8)² + (y – 9)² = 3
  • (x – 8)² + (y – 9)² = 14

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Circles concentric with one having its center at (8, 9) will have equations of the form ...

  (x -8)² +(y -9)² = r²

The offered answer choices that have this form are ...

  • (x – 8)² + (y – 9)² = 3
  • (x – 8)² + (y – 9)² = 14
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s. Blake spent 11 hours making gift baskets for families. Each gift basket took 1/5 hours to make. How many gift baskets did Ms.
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Step-by-step explanation:

If 1 gift takes 1/5 an hour, then 5 gifts would take one hour. So if she makes 5 gifts an hour for 11 hours she would make 55 gifts in 11 hours.

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3 years ago
What is the surface area of the right prism?
madreJ [45]

Answer:

The surface area of right prism is 12 feet²  , option D

Step-by-step explanation:

Given as :

The measure of base = 4 ft

The height of base = 0.5 ft

The surface area of right prism = perimeter of base × height + 2 × base

Now ,

Perimeter of base = 4 + 4 = 8 ft

So, The surface area of right prism = 8 × 0.5 + 2 × 4

Or, The surface area of right prism = 4 + 8

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4 0
3 years ago
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A casino offers a game wherein a player can roll one six sided die. If the player rolls a 1or 2, they
SVETLANKA909090 [29]

Answer:

Expected Value of $2:

Expected Value of $2:

Win, 0.3333 x $3 = $1

Plus

Loss, 0.6667 x -$2 = -$1.33

Expected value = ($0.33)

Step-by-step explanation:

Probability of a win = 2/6 = 0.3333

Probability of a loss = 4/6 = 0.6667

Expected Value of $2:

Win, 0.3333 x $3 = $1

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Loss, 0.6667 x -$2 = -$1.33

Expected value = ($0.33)

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zhannawk [14.2K]

Answer:

18. 2,047.5 yd³

19. 3204 in.²

Step-by-step explanation:

18. Volume of triangular prism = triangular base area × height of prism

Height of prism = 21 yd

Triangular base area = ½*b*h

b = 15 yd

h = √(15² - 7.5²) = √168.75 ≈ 13 yd

Triangular base area = ½*15*13 = 97.5 yd²

Plug in the values into the formula of the volume of prism

Volume of prism = 97.5 × 21

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19. Surface area = 2πrh + 2πr²

Where,

r = 15 in.

h = 19 in.

Plug in the values

Surface area = 2*π*15*19 + 2*π*15²

Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)

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3 years ago
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