To find the radius of a circle when you know the diameter, divide the diameter by two. So, in this question, divide 7 by two which is 3.5. So, the answer to it is 3.5 cm.

Hope it helps.

Can you please please choose mine as the brainliest answer

8 0

4 years ago

50 POINTS A point in the figure is selected at random. Find the probability that the point will be in the shaded region.

Tresset [83]

The first step that we need to take before attempting to solve the problem is to understand what the problem is asking us to do and what they are giving us to help solve the problem. Looking at the problem statement they are asking for us to determine the probability that a point will randomly be plotted in the shaded region. We are not given much of anything else which means that we will need to use our own numbers.

The picture that was provided has a square with four equal circles inside right next to each other. Therefore, we can say that each side of the square is going to be 2 units which causes the diameter of the circle to be half that or 1 unit. We can go even further and determine that the radius is going to be 0.5 units for each circle. Let's determine the area of all the shapes.

Area of the square

$A_{square} = s^2$

$A_{square} = (2\ units)^2$

$A_{square} = (2)^2 * (units)^2$

$A_{square} = 4\ units^2$

Area of a circle

$A_{circle} = \pi * r^2$

$A_{circle} = \pi * (0.5\ units)^2$

$A_{circle} = \pi * (0.5)^2 * (units)^2$

$A_{circle} = \pi * (0.25\ units)^2$

$A_{circle} = 0.7854\ units^2$

The area that we got from the circle only gives us the area for one of the circles so we need to multiply the number by four to give us the total area of the circles.

Total area of the circles

$A_{circles} = 0.7854\ units^2 * 4$

$A_{circles} = 3.1416\ units^2$

Now that we determined the area of both the square and the circles we can move onto the part of finding the probability of a point randomly landing on a circle.

Determine the probability

$\textsf{probability = circles / square}$

$\textsf{probability = } \frac{3.1416\ units^2}{4\ units^2}$

$\textsf{probability = } \frac{3.1416}{4}$

$\textsf{probability = } 0.785$

However, now that we have determined what the probability, looking at the answer options we can see that all of the are in percentages. So let's convert our probability into a percentage.

Convert to percentage

$\textsf{probability = } 0.785 * 100$

$\textsf{probability = } 78.5\%$

Therefore, looking at the options given, the option that would best fit this choice would be option B, about 80%.

6 0

2 years ago

HELP FAST PLZ IM TIMED 99 PTS

matrenka [14]

Hello!

1. To convert minutes to hours, we must multiply the number of minutes by 60, because that is how many minutes there are in an hour.

2. 1 pint = 16 ounces

16 × 8 = 128

Fernando bought 128 fluid ounces of milk.

3. 1 quart = 0.25 gallons

0.25 × 8 = 2

2 gallons are equivalent to 8 quarts.

4. Because when you divide 25 by 8, the result is greater than 3.

5. By dividing 6,400 by 2,000, because that is how you will find the exact equivalent of 6,400 pounds in tons.

7. 1 pound = 16 ounces

16 × 80 = 1,280

1,280 ounces is equivalent to 80 pounds.

9.

The missing value in the table is 918, because:

1 yard = 3 feet

3 × 306 = 918

306 yards = 918 feet

4 0

3 years ago

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