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Debora [2.8K]
3 years ago
8

HELP! A circle is inscribed in a square. A point N in the square is chosen at random. What is the probability that N lies in the

shaded region? Round your answer to the nearest percent.

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0

Answer:

30%

Step-by-step explanation:

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How long does it take a runner to run 12km if he is running at a speed of 7km/h
Rama09 [41]

Answer:

about an hour and 42 minutes

Step-by-step explanation:

Time=Distance/Speed

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3 years ago
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A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone d
kompoz [17]

Answer:

The function f(x) is represented by:

f(x)=1500(0.97)^x

Hence, a=1500 and b=0.97

Step-by-step explanation:

The patient currently has a bone density of 1,500 kg/mg^3.

A doctor estimates that a particular patient is losing bone density at a rate of 3% annually.

This means that the bone density that is remaining is:

100-3=97%

which is also represented as: 97%=97/100=0.97

Hence, the function f(x) that represents the bone density after x years is represented by:

f(x)=a(0.97)^x

where a is the initial bone density which is given to be: 1500 kg/mg^3.

Hence, the function is:

f(x)=1500(0.97)^x

6 0
3 years ago
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I need help with these questions
Katarina [22]

Answer:

I'm not on this level of school

8 0
2 years ago
Which of the following is equivalent to sec2θ−1sec2θ for all values of θ for which sec2θ−1sec2θ is defined?
galina1969 [7]

Answer:

2 sin^2 \theta

Step-by-step explanation:

According to the scenario, the following information is given:

= \frac{sec^2 \theta - 1 }{sec^2 \theta}

= (\frac{1}{\frac{cos^2\theta}{\frac{1}{cos^2\theta} }} - 1)

= 1 - cos^2\theta\\\\= 1 - (1 - 2 sin^2 \theta)\\\\= 2 sin^2 \theta

Therefore for the given equation, the answer is 2 sin^2 \theta

5 0
3 years ago
Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)
xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right  )

Here x_1=m, y_1=n, x_2=h, y_2=0

              $=\left( \frac{m+h}{2}, \frac{n+0}{2}\right  )

$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right  )

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here x_1=0, y_1=0, x_2=x,  y_2=y

$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right  )

$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right  )

$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{x}{2}, \frac{y}{2}\right  )

Now equate the x-coordinate.

$ \frac{m+h}{2}=\frac{x}{2}

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$\frac{n}{2} =  \frac{y}{2}

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

5 0
3 years ago
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