1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sladkaya [172]
3 years ago
15

A baseball is hit inside a baseball diamond with a length and width of 90 feet each. What is the probability that the ball will

bounce on the pitchers mound, if the diameter of the mound is 18 feet? Assume that the ball is equally likely to bounce anywhere in the infield. When applicable, leave your answer in terms of pie and include all necessary calculations.

Mathematics
2 answers:
professor190 [17]3 years ago
5 0
90(squared) + 90 (squared) = C (squared)
(we use 90 because the base path is 90 ft long since the diamond is a square that makes all sides 90 ft long)
8100 + 8100 = c(squared)
16200 = c(squared)
we will get the square root of 16200 to get the diagonal length
C=127.3 ft, and since it is the diagonal distance we will device it to 2, to get the distance from the pitcher ro the 2nd base.
127.3/2 = 67.7 ft.
67.7 ft is the distance from the pitcher<span> to the 2nd base.</span>
NISA [10]3 years ago
3 0

Answer:

\frac{\pi }{100}

Step-by-step explanation:

The first thing to notice is that the diamond is just a square rotated 45 degrees square, with 90 feet sides, so the total area of the diamond is:

A(square)= l x l = 90 ft * 90 ft = 8100 ft^{2}

We also need to calculate the area of the mound, assuming it being a circle:

A(circle)= \pi * r^{2}  And r=diameter/2= 18 ft/2 = 9 ft

A(circle) =  \pi * (9 ft)^{2} = 81\pi ft^{2}

Now since the ball has an equal chance of bouncing anywhere in the field, the probability would be the ratio of the area occupied by the mound inside of the diamond.

P= \frac{81\pi ft^{2}}{8100 ft^{2}}=\frac{\pi }{100}

You might be interested in
Task: Nonpermissible Values for Rational Expressions [30 points] Write a rational expression that has the nonpermissible values
igor_vitrenko [27]

Answer:

A rational expression that has the nonpermissible values x = 0 and x = 17 is f(x) = \frac{4}{x\cdot (x-17)}.

Step-by-step explanation:

A rational expression has a nonpermissible value when for a given value of x, the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:

f(x) = \frac{p(x)}{q(x)} (1)

Then, the factorized form of q(x) must be:

q(x) = x\cdot (x-17) (2)

If we know that p(x) = 4, then the rational expression is:

f(x) = \frac{4}{x\cdot (x-17)} (3)

A rational expression that has the nonpermissible values x = 0 and x = 17 is f(x) = \frac{4}{x\cdot (x-17)}.

8 0
3 years ago
Need help with this problem
insens350 [35]
That equation just equals ln(e^(-4/3)) which can be simplified to -4/3 because ln and e cancel each other out only leaving the power
4 0
3 years ago
9) Choose all expressions that are equivalent to 3x + 6 (Use
S_A_V [24]

Answer:

3(x+2)

Step-by-step explanation:

3x+6

Factor out 3.

3(x+2)

7 0
3 years ago
Can someone teach me how to answer this? Thanks!
DaniilM [7]

Answer:

\left( fg\right)  \left( x\right)  =2x^3\sqrt[3]{x}\\\\\left( \frac{f}{g} \right)  \left( x\right)  =\frac{2x^{3}}{\sqrt[3]{x} }

Step-by-step explanation:

5 0
2 years ago
Use the formula to help you answer the question below. do not include units in your answer.
bogdanovich [222]
The information given requires you to rework the formula as :
distance÷time=rate

so then plug in values to get
5÷2=rate

and the answer will be 2.5 as your rate
7 0
3 years ago
Other questions:
  • Which of the following improper fractions is equivalent to the mixed number 4 2\3 ?
    6·2 answers
  • If a number has 2 and 6 as factors what other numbers must be factors
    14·2 answers
  • What is the domain of the relation below?
    10·2 answers
  • In a race, if my time beat your time by 12 fewer seconds than my time beat Pat's time, then your time beat Pat's time by
    10·2 answers
  • 1.) (X+9)(x+3)
    8·1 answer
  • In a simple random sample of 20 residents of the city of Dallas, the mean paper products recycled per person per day was 0.95 po
    11·1 answer
  • A store manager ordered 28 crates of mangoes. There were 36 mangoes in each crate. When the mangoes were delivered, he sold the
    13·1 answer
  • 6(4 - 2р) + 9p<br> Can any one help
    7·1 answer
  • Help please this is for geometry. its easy.
    10·2 answers
  • 5/6=-4/(x+2) answer pls
    16·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!