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DochEvi [55]
3 years ago
9

There is a bag with only red marbles and blue marbles.

Mathematics
1 answer:
faust18 [17]3 years ago
7 0

Answer:

12

Step-by-step explanation:

because there is 72 in it and probability of of it being 12 out of 72 is higher than 11

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Find the center of a circle with the equation: x2 y2−32x−60y 1122=0 x 2 y 2 − 32 x − 60 y 1122 = 0
mixas84 [53]

The equation of a circle exists:

$(x-h)^2 + (y-k)^2 = r^2, where (h, k) be the center.

The center of the circle exists at (16, 30).

<h3>What is the equation of a circle?</h3>

Let, the equation of a circle exists:

$(x-h)^2 + (y-k)^2 = r^2, where (h, k) be the center.

We rewrite the equation and set them equal :

$(x-h)^2 + (y-k)^2 - r^2 = x^2+y^2- 32x - 60y +1122=0

$x^2 - 2hx + h^2 + y^2 - 2ky + k^2 - r^2 = x^2 + y^2 - 32x - 60y +1122 = 0

We solve for each coefficient meaning if the term on the LHS contains an x then its coefficient exists exactly as the one on the RHS containing the x or y.

-2hx = -32x

h = -32/-2

⇒ h = 16.

-2ky = -60y

k = -60/-2

⇒ k = 30.

The center of the circle exists at (16, 30).

To learn more about center of the circle refer to:

brainly.com/question/10633821

#SPJ4

7 0
2 years ago
Find the length of the arc shown in red. Leave your answer in terms of .
docker41 [41]

Answer:

red segment = 25.12 ft

Step-by-step explanation:

circumference of full circle = (3.14)(24) = 75.36 ft

semi circle = 75.36/2 = 37.68 ft

60° segment = (60/360)(75.36) = 12.56 ft

red segment = 37.68 - 12.56 = 25.12 ft

8 0
3 years ago
What is the solution to the system of equations
Arada [10]

Answer:

(3,-2)

Step-by-step explanation:

Got it right!!

6 0
2 years ago
Read 2 more answers
I beg you help me plz
Neporo4naja [7]

Step-by-step explanation:

I think geomatory box is also similar to original figure

5 0
3 years ago
What is the value of 0.1561 rounded to the nearest tenth?
Ainat [17]

We have to round the value of 0.1561 to the nearest tenth.

The number after decimal is the number at tenth place. Consider the number to the right of the tenths place and use the number to determine if you will round up or stay the same. Notice that the number to the right of tenth place is more than or equal to 5 or less than 5. If that number is greater than or equal to 5, then the number will round up but if that number is less than 5, then the number will not round up. It will remain same.

Let us consider the given number 0.1561

The number at tenths place is 1

The number after the tenths place is 5 (which is either greater than or equal to 5)

So, the number will round up to 0.2

8 0
3 years ago
Read 2 more answers
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