Question

In: Advanced Math

A soccer ball has 32 faces, each of which is a regular pentagon or hexagon. Because...

A soccer ball has 32 faces, each of which is a regular pentagon or hexagon. Because of the angles involved, exactly three faces meet at each corner. Without looking at the ball, determine how many of each type of face there are.

Solutions

Expert Solution

To prove this we will use Euler's Formula

Colby Messinger answered 2 years ago
Next > < Previous

Related Solutions

Now let's consider the impulse associated with kicking a soccer ball (Figure 1). The ball has...
Now let's consider the impulse associated with kicking a soccer ball (Figure 1). The ball has mass 0.40 kg . Initially it moves horizontally to the left at 20 m/s, but then it is kicked and given a velocity with magnitude 30 m/s and direction φ=45∘ upward and to the right. Find the impulse of the force and the average force on the ball, assuming a collision time Δt=0.010s. angle: 27 Part A:Suppose the ball is moving at 30 ∘...
During the movement of kicking a soccer ball, Which muscle is the prime mover? Which muscle...
During the movement of kicking a soccer ball, Which muscle is the prime mover? Which muscle is the antagonist, and which is the synergist? Describe the lobes of the cerebrum and their primary functions. Describe the meninges and their function and location.
Each of the faces of a regular tetrahedron can be painted either black or white. Up...
Each of the faces of a regular tetrahedron can be painted either black or white. Up to rotation, how many ways can the tetrahedron be painted? Please provide all the necessary computations and explanations. (hint : idea of abstract algebra can be used)
Charlie kicks a soccer ball up a small incline. On the way up, ball’s acceleration has...
Charlie kicks a soccer ball up a small incline. On the way up, ball’s acceleration has magnitude |a| = 0.45 m/s2 and is directed in downhill direction. Charlie kicks the ball at the bottom of the incline and then immediately start to walk up the incline with constant speed. Charlie performs twi different trials. a) In the first trial, Charlie kicks the ball with initial speed v0 = 3.4 m/s. Charlie is 2.3-m behind the ball when the ball is...
Charlie kicks a soccer ball up a small incline. On the way up, ball's acceleration has...
Charlie kicks a soccer ball up a small incline. On the way up, ball's acceleration has magnitude jaj = 0:45 m/s2 and is directed in downhill direction. Charlie kicks the ball at the bottom of the incline and then immediately start to walk up the incline with constant speed. Charlie performs twi dierent trials. a) In the first trial, Charlie kicks the ball with initial speed v0 = 3:4 m/s. Charlie is 2.3-m behind the ball when the ball is...
Northwood Company manufactures basketballs. The company has a ball that sells for $32. At present, the...
Northwood Company manufactures basketballs. The company has a ball that sells for $32. At present, the ball is manufactured in a small plant that relies heavily on direct labor workers. Thus, variable expenses are high, totaling $22.00 per ball, of which 69% is direct labor cost. Last year, the company sold 30,000 of these balls, with the following results: Sales (30,000 balls) $ 960,000 Variable expenses 660,000 Contribution margin 300,000 Fixed expenses 210,000 Net operating income $ 90,000 Required: 1....
Northwood Company manufactures basketballs. The company has a ball that sells for $32. At present, the...
Northwood Company manufactures basketballs. The company has a ball that sells for $32. At present, the ball is manufactured in a small plant that relies heavily on direct labor workers. Thus, variable expenses are high, totaling $22.00 per ball, of which 69% is direct labor cost. Last year, the company sold 30,000 of these balls, with the following results: Sales (30,000 balls) $ 960,000 Variable expenses 660,000 Contribution margin 300,000 Fixed expenses 210,000 Net operating income $ 90,000 Required: 1....
Northwood Company manufactures basketballs. The company has a ball that sells for $32. At present, the...
Northwood Company manufactures basketballs. The company has a ball that sells for $32. At present, the ball is manufactured in a small plant that relies heavily on direct labor workers. Thus, variable expenses are high, totaling $22.00 per ball, of which 69% is direct labor cost. Last year, the company sold 30,000 of these balls, with the following results: Sales (30,000 balls) $ 960,000 Variable expenses 660,000 Contribution margin 300,000 Fixed expenses 210,000 Net operating income $ 90,000 Required: 1....
Northwood Company manufactures basketballs. The company has a ball that sells for $32. At present, the...
Northwood Company manufactures basketballs. The company has a ball that sells for $32. At present, the ball is manufactured in a small plant that relies heavily on direct labor workers. Thus, variable expenses are high, totaling $22 per ball, of which 69% is direct labor cost. Last year, the company sold 30,000 of these balls, with the following results: Sales (30,000 balls) $ 960,000 Variable expenses 660,500 Contribution margin 300,000 Fixed expenses 210,000 Net operating income $ 90,000 Required: 5....
Consider the following figure. A hexagon has six labeled vertices and a dashed line segment which...
Consider the following figure. A hexagon has six labeled vertices and a dashed line segment which divides the hexagon into a trapezoid and rectangle. The first side is horizontal, starts at vertex R, goes to the right, and ends at vertex S. The second side is vertical, starts at vertex S, goes up, and ends at vertex T. The third side starts at vertex T, goes up and to the right, and ends at vertex V. The fourth side is...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT