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svlad2 [7]
3 years ago
11

A square lawn has area 128128 ft squared .ft2. a sprinkler placed at the center of the lawn sprays water in a circular pattern t

hat just covers the lawn. what is the radius of the​ circle?
Mathematics
1 answer:
fenix001 [56]3 years ago
6 0
For this case what you must do is find the diagonal of the square to find the diameter of the circle and then be able to obtain the radius.
 We have then:
 A = L ^ 2 = 128
 L = root (128)
 L = 11.3137085
 Then, the diagonal of the square knowing its sides is:
 d = root ((L) ^ 2 + (L) ^ 2)
 d = root ((11.3137085) ^ 2 + (11.3137085) ^ 2)
 d = 16 feet
 Finally the radius of the circle is:
 r = d / 2
 r = (16) / 2
 r = 8feet
 answer:
 the radius of the circle is
 r = 8feet
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In a certain soccer tournament you play 6 games. In every match you get 3 points if you win, 1 point for a draw and 0 points if
Ann [662]

Answer:

0.430625 = 0.431

Step-by-step explanation:

Let W represent winning, D represent a draw and L represent a loss.

12+ points can be garnered in each of the following ways.

6W 0D 0L

5W 1D 0L

5W 0D 1L

4W 2D 0L

4W 1D 1L

4W 0D 2L

3W 3D 0L

The probability of getting 12+ points is the sum of all these 7 probabilities.

Knowing that P(W) = 0.5

P(D) = 0.1

P(L) = 0.4

P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625

P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875

P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075

P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375

P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075

P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15

P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025

The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625

5 0
3 years ago
You earn $25 for washing 5 cars how much do you earn for washing 4 cars
irakobra [83]
You will earn $20 washing 4 cars
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3 years ago
What is the area of a triangle with a height of 14 feet and a base of 10 feet​
timama [110]

Answer:

Area is 70ft

Step-by-step explanation:

Area of a triangle is A=b × h/ 2 or A=1/2×bh

Let height equal h & base equal b

So,

h=14

b=10

Solve,

A=1/2×14×10

A=1/2×140

A=70

Therefore, the area is 70 feet

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3 years ago
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What is the factor of 5x^2 + 10x
Marat540 [252]

Answer: 5 x 2 − 10 x = 5 x ( x − 2 )

Step-by-step explanation:

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viktelen [127]

Answer:

answer fx

Step-by-step explanation:

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2 years ago
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