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3 years ago

A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.

Mathematics

1 answer:

Colt1911 [192]3 years ago

6 0

Suppose the square has side lengths of 2. Then its area is 2² = 4.

The radius of the circle is 1, so its area is π·1² = π.

The area of the square not in the circle is 4 - π, so the fraction of the area of the square that is not in the circle is

... (4-π)/4 = 1-(π/4) ≈ 0.2146

This same fraction is your probability of selecting a point in the white area.

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Module 5 section 5.2

Luba_88 [7]

Grade 3.141592653589793238462643383279502884197? Or what?

4 0

3 years ago

Use the equation to answer the following question y=(x-3(x+2)/(x+4)(x-4)(x+2)

givi [52]

Answer:

See below

Step-by-step explanation:

The given rational function is;

$y=\frac{(x-3)(x+2)}{(x+4)(x-4)(x+2)}$

The given function is not continuous where the denominator is equal to zero.

$(x+4)(x-4)(x+2)=0$

The function is discontinuous at $x=-4,x=4,x=-2$

b) The point at x=-2 is a removable discontinuity(hole) because (x+2) is common to both the numerator and the denominator.

The point at x=-4 and x=4 are non-removable discontinuities(vertical asymptotes)

c) The equation of the vertical asymptotes are x=-4 and x=4

To find the equation of the horizontal asymptote, we take limit to infinity.

$\lim_{x\to \infty}\frac{(x-3)(x+2)}{(x+4)(x-4)(x+2)}=0$

The horizontal asymptote is y=0

8 0

3 years ago

a man uses 60 litre of petrol for a journey of 750 km how many litres will be used for a journey of 350 km

andrew11 [14]

Answer:

28 litres

Step-by-step explanation:

60l/750km = .08

.08 litres used per kilometer

.08*350km = 28l

6 0

3 years ago

Read 2 more answers

Points that don't belong to any line

svetlana [45]

Answer:

Noncollinear points

Step-by-step explanation:

Collinear points lie on the same line. Noncollinear points are the opposite.

3 0

2 years ago

20 points!!!!

leva [86]

Answer:

6/7

Step-by-step explanation:

Product of slope of perpendicular line = -1

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\$

$= \frac{7-0}{3-9}\\\\=\frac{7}{-6}\\\\=\frac{-7}{6}$

Slope of the perpendicular line = -1/m = -1 ÷ $\frac{-7}{6}$

$= -1 * \frac{-6}{7} = \frac{6}{7}$

6 0

3 years ago