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4 years ago

What is the diameter of a circle with a 5 inch circumference?

Mathematics

1 answer:

Veseljchak [2.6K]4 years ago

8 0

Circumference = 2πr = 5
Diameter = 2r
2r = 5/π

In short, Your Answer would be 5/π

Hope this helps!

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1.) In a the heavy weight division boxing match, Mike throws 270 punches in 9 rounds. What is the unit rate of punches per round

Rom4ik [11]

30 punches each round...
i think :)
just divide the punches by the rounds hope this helps

6 0

3 years ago

Evaluate 2a + 6b for a = 4 and b = 5.<br>12a+60 =<br>2a + 6b=

galina1969 [7]

Answer:

38 and 108

Step-by-step explanation:

2a + 6b

2 (4) + 6 (5) Plug in values

8+30 = 38

12a + 60

12 (4) + 60 = 108

5 0

3 years ago

Read 2 more answers

A soccer player stands in the southeast corner of a 76-meter by 57-meter field and kicks a

sukhopar [10]

Answer:

228m

Step-by-step explanation:

Let's draw a rectangle ABCD, A being its bottom left point, B bottom right, C top right and D top left.

That is our soccer field. The player stands in the southeast corner, which is top right corner or, in our case point B. He passes the ball to the player in the opposite corner, which is corner D. He then passes the ball to the player in the southwest corner, which is corner A. And he finally passes it back to the player in the corner B.

So, the ball goes from B to D to A to B. That means that the ball went along the circumference of the triangle DAB.

So, to answer how long the ball travelled we need to find the circumference of the triangle. The circumference is the sum of its three sides. One side is the field's length (76m) and the othet is field's width (57m). We only need to find the triangle's hypotenuse, side BD, using Pythagoras theorem:

BD² = AB² + AD²

BD² = 76² + 57²

BD = 95

So, the circumference of the triangle is 76+57+95=228m

3 0

3 years ago

Alice searches for her term paper in her filing cabinet, which has several drawers. She knows thatshe left her term paper in dra

katen-ka-za [31]

You made a mistake with the probability $p_{j}$ , which should be $p_{i}$ in the last expression, so to be clear I will state the expression again.

So we want to solve the following:

Conditioned on this event, show that the probability that her paper is in drawer $j$ , is given by:

(1) $\frac{p_{j} }{1-d_{i}p_{i} } , if j \neq i,$ and

(2) $\frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i} } , if j = i.$

so we can say:

$A$ is the event that you search drawer $i$ and find nothing,

$B$ is the event that you search drawer $i$ and find the paper,

$C_{k}$ is the event that the paper is in drawer $k, k = 1, ..., n.$

this gives us:

$P(B) = P(B \cap C_{i} ) = P(C_{i})P(B | C_{i} ) = d_{i} p_{i}$

$P(A) = 1 - P(B) = 1 - d_{i} p_{i}$

Solution to Part (1):

if $j \neq i$ , then $P(A \cap C_{j} ) = P(C_{j} )$ ,

this means that

$P(C_{j} |A) = \frac{P(A \cap C_{j})}{P(A)} = \frac{P(C_{j} )}{P(A)} = \frac{p_{j} }{1-d_{i}p_{i} }$

as needed so part one is solved.

Solution to Part(2):

so we have now that if $j$ = $i$ , we get that:

$P(C_{j}|A ) = \frac{P(A \cap C_{j})}{P(A)}$

remember that:

$P(A|C_{j} ) = \frac{P(A \cap C_{j})}{P(C_{j})}$

this implies that:

$P(A \cap C_{j}) = P(C_{j}) \cdot P(A|C_{j}) = p_{i} (1-d_{i} )$

so we just need to combine the above relations to get:

$P(C_{j}|A) = \frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i} }$

as needed so part two is solved.

8 0

3 years ago

Sandra rode her bike 5 times as many miles as Barbara. If b, the distance Barbara rode, equals 3.4 miles, what is the correct ex

Debora [2.8K]

The expression s = 5b represents the Sandra rode her bike and the distance Sandra rode, equals 17 miles.

<h3>What is distance?</h3>

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

Sandra rode her bike 5 times as many miles as Barbara. If b, the distance Barbara rode, equals 3.4 miles.

b = 3.4 miles

Let's suppose the s is the distance Sandra rode then,

s = 5b

The above expression represents the Sandra rode her bike.

Plug b = 3.4 miles

s = 5(3.4) = 17 miles

Thus, the expression s = 5b represents the Sandra rode her bike and the distance Sandra rode, equals 17 miles.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ1

3 0

2 years ago