Question

An equilateral triangle has sides 6cm long. What is the probability that a point chosen at...

An equilateral triangle has sides 6cm long. What is the probability that a point chosen at random in the triangle is within 1 cm of a corner?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Probability[ a point chosen at random in the triangle is within 1 cm of a corner ]
= Area within 1 cm of a corner / Area of triangle

Area of equilateral triangle of side a =

For a = 6

Area of triangle =

Area within 1 cm of a corner = 3*area of sector with angle 60 degree and radius 1 cm (since, there are three ends of the triangle which we have to take into consideration)

Area within 1 cm of a corner =

Probability[ a point chosen at random in the triangle is within 1 cm of a corner ] = 3.14/15.59

Probability[ a point chosen at random in the triangle is within 1 cm of a corner ] = 0.2014

please upvote

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A random point D is chosen inside a triangle ABC . Suppose that Area∆BCD=a cm2, Area∆ACD=b...
A random point D is chosen inside a triangle ABC . Suppose that Area∆BCD=a cm2, Area∆ACD=b cm2, Area∆BAD=c cm2. What is the probability that there is a triangle with sides a cm, b cm, c cm?
Three equal 2.00-μCμC point charges are placed at the corners of an equilateral triangle whose sides...
Three equal 2.00-μCμC point charges are placed at the corners of an equilateral triangle whose sides are 0.400 mm long. What is the potential energy of the system? (Take as zero the potential energy of the three charges when they are infinitely far apart.) U= J
Three particles sit on the vertices of an equilateral triangle with sides of d = 5.00...
Three particles sit on the vertices of an equilateral triangle with sides of d = 5.00 cm. Particle 1 has a mass of 25.0 kg, particle 2 has a mass of 20.0 kg, and particle 3 has a mass of 30.0 kg. What is the direction of the net gravitational force on mass 1?
Three particles sit on the vertices of an equilateral triangle with sides of d = 5.00...
Three particles sit on the vertices of an equilateral triangle with sides of d = 5.00 cm. Particle 1 has a mass of 25.0 kg, particle 2 has a mass of 20.0 kg, and particle 3 has a mass of 30.0 kg. What is the direction of the net gravitational force on mass 1?
Three stars, each with the mass of our sun, form an equilateral triangle with sides 3×1011...
Three stars, each with the mass of our sun, form an equilateral triangle with sides 3×1011 m long. The triangle has to rotate, because otherwise the stars would crash together in the center. What is the period of rotation? Give your answer in years.
A proton and 2 electrons sit respectively at the corners of an equilateral triangle. The sides...
A proton and 2 electrons sit respectively at the corners of an equilateral triangle. The sides of the triangle are 10µm. What forces do they each respectively experience?
A water trough is 9 feet long, and its cross section is an equilateral triangle with...
A water trough is 9 feet long, and its cross section is an equilateral triangle with sides 4 feet long. Water is pumped into the trough at a rate of 2 cubic feet per second. How fast is the water level rising when the depth of the water is 1/2 foot? ( Hint: First, what is the height h of an equilateral triangle of side length s? Next, what is the area of an equilateral triangle in terms of the...
Three charges of magnitude 5uC are placed at the corner of an equilateral triangle. The top...
Three charges of magnitude 5uC are placed at the corner of an equilateral triangle. The top charge is negative and the bottom two charges are positive. The sides of the triangle are d= 6.4x10^-4 m. A) What is the magnitude of the force acting on the top charge? B) What is the direction of the force acting on the top charge? EXPLAIN:
The drawing shows an equilateral triangle, each side of which has a length of 4.25 cm....
The drawing shows an equilateral triangle, each side of which has a length of 4.25 cm. Point charges are fixed to each corner, as shown. The 4.00 μC charge experiences a net force due to the charges qA and qB. This net force points vertically downward and has a magnitude of 461 N. Determine (a) charge qA, (b) charge qB.
The drawing shows an equilateral triangle, each side of which has a length a = 1.6...
The drawing shows an equilateral triangle, each side of which has a length a = 1.6 cm. Point charges are fixed to each corner, as shown. The qC=3.2 μC charge experiences a net force due to the charges qA and qB. This net force points vertically downward and has a magnitude of 324.0 N. Determine the magnitudes and algebraic signs of the charges qA and qB (assume qA and qB are equal)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT