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Kamila [148]
3 years ago
13

The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. What is the distance betw

een the ball and the rim in a shot in which the ball goes exactly in the center of the rim? Show your work.
Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
7 0

Diameter of the basketball rim = 18 inches

Circumference of the standard basketball = 30 inches

Area of circle = π r²  

Basketball rim = 3.14 * (18/2)² = 3.14 * 9² = 3.14 * 81 = 254.34 in²

Circumference of a circle = 2 π r

30 = 2 * 3.14 * r

r = 30 / (2*3.14) = 30 / 6.28 = 4.78 inches

Standard basketball = 3.14 * (4.78)² = 3.14 * 22.85 = 71.75 in²

254.34 - 71.75 = 182.59 in²

svlad2 [7]3 years ago
7 0

Answer:

4.2 inches

Step-by-step explanation:

Basketball rim:

diameter = 18 inches

r = 18/2 = 9 inches

Ball:

Circumference of ball = 30 inches

2πr = 30 inches

2*3.14*r = 30\\\\r = \frac{30}{2*3.14}\\\\r = 4.8 inches

Distance between the ball and the rim in a shot when the ball goes exactly in the center of the rim = radius of the rim - radius of the ball

   = 9 - 4.8

   = 4.2 inches

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Snowcat [4.5K]

Answer:

  C. 80°, 100°

Step-by-step explanation:

The only answer choice showing a ratio of 4:5 is choice C.

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A: 80 : 80 = 1 : 1

B: 10 : 80 = 1 : 8

C: 80 : 100 = 4 : 5 . . . . the correct choice

D: 100 : 100 = 1 : 1

For this set of answer choices, you can simply look at the ratio. You don't even need to know what supplementary angles are.

7 0
4 years ago
(x+3)^0 Rewrite the equation with positive exponents and simplify. x≠-3.
sveta [45]

\huge\text{Hey there!}

\huge\textbf{Equation:}

\mathsf{(x + 3)^0}

\huge\textbf{Simplifying:}

\mathsf{(x + 3)^0}

\text{Anything raised to the 0 power it automatically equal to 1.}

\huge\text{So, this mean that your answer should be: \boxed{\mathsf 1}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

3 0
2 years ago
Help please. I dont know how to do this :((
madam [21]

Answer:

You need the distance of all four sides so that is:

2 * (5y +1) + 2 * (2y -3) which equals

10y + 2 + 4y -6 and that equals

14y -4

Step-by-step explanation:

4 0
3 years ago
ANSWER I ADDED EXTRA POINTS BUT ANSWER RIGHT AND EXPLAIN YOUR ANSWER!!!! 2 QUESTIONS...
Sophie [7]

Answer:

24) D

25) D

Step-by-step explanation:

24) D

We want to find the equation of a line (in slope-intercept form) that passes through (2, -2) and is perpendicular to y=\frac{2}{5}x+2.

First, let's find the slope of our new line.

Remember that perpendicular slopes are negative reciprocals of each other.

Therefore, to find the slope of our new line, we will flip our old slope and add a negative.

Therefore, the slope of our new line is -5/2.

Now, we can use the point-slope form:

y-y_1=m(x-x_1)

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -5/2 for our slope and (2, -2) for our point (x₁, y₁). This yields:

y-(-2)=-\frac{5}{2}(x-2)

Simplify:

y+2=-\frac{5}{2}(x-2)

Let's convert this to slope-intercept form. Distribute the right:

y+2=-\frac{5}{2}x+5

Subtract 2 from both sides. So, our equation is:

y=-\frac{5}{2}x+3

Our answer is D.

25)

We know that the cost for buying x items is given by the function:

C(x)=6x

We also know that the items are sold in packages of 10 only. And no one can buy more than 5 packages. In other words, we can buy 0, 1, 2, 3, 4, or 5 packages.

So, let's see how much it will be if we buy 0 packages. This will just be:

C(0)=6(0)=\$0

If we buy 1 package, there will be 10 items in them. So:

C(10)=6(10)=\$60

If we do this for 2 packages (20 items), 3 packages (30 items), and so on, we will get:

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So, our range is:

\{0, 60, 120, 180, 240, 300\}

The correct answer is D.

And we're done!

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3 years ago
Please help solve,
Dvinal [7]
Idk but this ain’t it
5 0
3 years ago
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