Given:
A circle with its center at (0, -3).
To find:
The standard equation for the given circle.
Solution:
The standard form of a circle is , where (h, k) is the center of the circle and r is the radius of the circle.
The center of the given circle is at (0, -3).
We need to determine the radius of the circle. The center is at (0, -3) and a point with the same y coordinate is (3, -3).
The radius of the circle units.
So for the given circle, (h, k) is (0, -3) and r is 3 units.
So the equation becomes .
The standard equation for the circle is
8:3
The ratio of low-fat to chocolate milk is:
for every 40 gallons of low-fat milk, there is 15 gallons of chocolate milk:
so, 40:15....... but each number is divisible by 5, so
40/5:15/5 = 8:3
Hope this helps you!
Have an amazing rest of your day :)
What is the probability that a point chosen at random is in the blue region?
StartFraction 1 over 16 EndFraction
StartFraction 1 over 15 EndFraction
StartFraction 15 over 17 EndFraction
StartFraction 15 over 16 EndFraction
Answer:
The probability that a point chosen at random is in the blue region is 15/16.
Step-by-step explanation:
In order to find the probability that a point chosen at random will lie in the blue region, we first have to find the area of the blue region.
The area of the large square is the product of its dimensions:
and for the smaller square area is:
Therefore the area of the blue region is the area of the larger square minus the area of the smaller square.
Therefore the probability that the point chosen at random is on the blue region is
The probability is .
letter b Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation is solved and the mixed number is x = 30 4/5
Given data:
To solve the equation 5x/7 = 22, we need to isolate the variable x.
We can start by multiplying both sides of the equation by 7 to eliminate the fraction:
(5x/7) * 7 = 22 * 7
This simplifies to:
5x = 154
To solve for x, we can divide both sides of the equation by 5:
(5x)/5 = 154/5
x = 30.8
The solution as a mixed number is represented as:
x = 30.8 can be written as 30 and 4/5 in mixed number form.
Hence, the correct mixed number solution is x = 30 4/5.
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