The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. What is the distance between the ball and the rim in a shot in which the ball goes exactly in the center of the rim? Show your work.

Answers

Answer 1

we know that
circumference=2*pi*r-------> r=circumference/(2*pi)
circumference=30 in
r=circumference/(2*pi)------> 30/(2*pi)-----> 4.7746 in
the radius of a standard basketball is 4.77 in

the distance between the ball and the rim is equal to
radius of a basketball rim minus radius of a a standard basketball
radius of a basketball rim =18/2------> 9 in
radius of a a standard basketball=4.77 in

the distance between the ball and the rim=[9-4.77]------> 4.23 in

the answer is
4.23 in

Answer 2

To solve this problem you must apply the proccedure shown below:

1. You have the following information given in the problem above:

- The diameter of a basketball rim is 18 inches.
- A standard basketball has a circumference of 30 inches.

2. Therefore, the diameter of the standard basketball is:

D=30 inches/π
D=9.54 inches

3. Therefore you have:

(18 inches-9.54 inches)=8.45 inches on both sides

4. Then, the distance the distance between the ball and the rim in a shot in which the ball goes exactly in the center of the rim, is:

d=8.45 inches/2
d=4.22 inches

The answer is: 4.22 inches

Related Questions

a catering company needs to know how much roast beef to slice for sandwiches for an event.They are making 30 club sandwich, which requires 1/8lb of roast beef each. They are also making 20 french dip sandwiches, which require 1/5lb each. How many pounds of roast beef should they slice in total?

Answers

1/8(30)+1/5(20)= 31/4 = 7.75
You should slice 7 and 3/4 lbs of roast beef

The would need 7 3/4 pounds (8 if you round up) of roast beef.

To find this you'd multiply 30/1 (30 as a fraction) by 1/8. To do so, you multiply straight across which gives you 30/8 or 3 3/4 when simplified. You repeat this process for the next two numbers too (20/1*1/5 = 20/5. Simplified it equals 4). Finally you add 4 and 3 3/4 together to get your answer of 7 3/4. Round up to 8 if needed.

I hope this helps!

How many ways could the students Amy, Ben, and Lorenzo, come in 1st, 2nd, and 3rd place?

Answers

A1, B2, L3
A1, L2, B3
L1, B2, A3
L1, A2, B3
B1, A2, L3
B1, L2, A3

[tex] 3!=6 [/tex]

..........

Jeff drinks 2/3 of a glass of juice. Write
a fraction equivalent to 2/3

Answers

A fraction that means the same as 2/3 is 4/6.

To find this, you can simply multiple both the numerator and denominator (top and bottom) by any number as long as it's the same number for both top and bottom.
In this case, we used 2 as the number, and multipled it to the top and bottom of 2/3, to get 4/6.

I hope this helps!

sam had four test last month his scores were 81 94 83 and 91 what is the median of his scores

Answers

put them in order of least to greatest and then cross out them till you get the middle number. 81,83,91,94. answer is 91.

Final answer:

The median of Sam's test scores (81, 83, 91, 94) is 87, calculated by averaging the two middle numbers after arranging the scores in ascending order.

Explanation:

To find the median of Sam's test scores, we first list the scores in numerical order: 81, 83, 91, 94. Since there are an even number of scores, the median will be the average of the two middle numbers, which are 83 and 91. To find the median, you add those two middle scores and divide by 2: (83 + 91) / 2 = 174 / 2 = 87. Therefore, the median of Sam's scores is 87.

Calculating the median of a set of values involves organizing them in ascending order, as done with Sam's test scores. In cases where there is an even number of values, the median is determined by averaging the two middle numbers. This method ensures a representative central value for the dataset, providing insight into the typical test performance. In Sam's case, with test scores 81, 83, 91, and 94, the median is computed as 87, offering a balanced perspective on his overall performance.

A. 0

B. 1

C. 2

D. 3

Answers

-19 to -15 would be a positive 4 difference

19 to 15 = 4 this would be a -4 difference

3 to 7 is a positive 4 difference

-3 to 7 is a difference of 10

so there is 1 with a -4 difference
answer is B.

Mary has 7 1/4 yard of fabric. she cuts off 3/4 foot fabric to make the edge even. Mary wants to end up with 3 pieces of fabric that are the same size. how long will each piece be?

Answers

7 1/4 - 3/4 = 6 5/4 - 3/4 = 6 2/4

6 2/4 ÷ 3 = 26/4 ÷ 3 = 26/4 x 1/3 = 2 1/6

Answer: 2 1/6 yd

Final answer:

Mary has 7 1/4 yards of fabric, and after cutting off 3/4 foot (which is 1/4 yard), she is left with 7 yards. When she divides this equally into 3 pieces, each piece will be 2 1/3 yards long.

Explanation:

Mary has 7 1/4 yards of fabric. To convert the fabric she cuts off, which is 3/4 foot, to yards, we use the fact that 1 yard = 3 feet. Thus, 3/4 foot is 1/4 yard. After cutting off 1/4 yard from her fabric, she is left with 7 yards (7 1/4 yards - 1/4 yard). Mary wants to divide this into 3 equal pieces. To find the length of each piece, we divide 7 yards by 3, which is 2 1/3 yards for each piece.

Consider the equation . how many different solutions does this equation have if all the variables must be positive integers? enter the exact numeric answer.

Answers

What is the equation?

A bage contains 5 blue marbles, 3 red marbles, and 2 yellow marbles. You select a marble at radom. What is p(yellow)

Answers

Total marbles = 5 + 3 + 2 = 10
Total yellow marbles = 2
P(yellow) = 2/10 = 1/5

Answer: 1/5

Find the center, vertices, and foci of the ellipse with equation 2x2 + 9y2 = 18.

Answers

To solve this problem you must apply the proccedure showb below:

1. You have the following equation:

2x^2+9y^2=18

2. Dividing the equation by 18, you have:

(x^2/9)+(y^2/2)=1

3. The center is:

[(x-0)^2/9]3^2[(y-0)^2/√2]=1

(h,k)=(0,0)

The center is (0,0)

4. The vertices are:

a^2=9
a=3

Vertices: (-3,0) and (3,0)

5. The foci is:

c^2=a^2-b^2
c=√7

The foci is: (-√7,0) and (√7,0)

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