Suppose you have a trapezoid a vertical height of H with bottom and top widths of...

Suppose you have a trapezoid a vertical height of H with bottom and top widths of B and T. Suppose we draw a line of height h that is parallel to the base of the trapezoid. What are the dimensions of the new trapezoid? (i.e. top widths and height)

Expert Solution

milcah answered 2 years ago

1. A square-based pyramid has the volume V. If the vertical height is H (the normal...

1. A square-based pyramid has the volume V. If the vertical height is H (the normal distance from the square base to the point), write a MATLAB function that: has V and H as input arguments calculates the length of the side of the square (S) has S as an output argument Write MATLAB code that tests the function for the values: V = 10 m3 and H = 2 m. V = 2.586×106 m3 and H = 146.6 m...

A roller-coaster car is starting from rest from the top of the slope of height H....

A roller-coaster car is starting from rest from the top of the slope of height H. As it reaches the bottom of the slope, it is moving at 30 m/s along a straight horizontal track. Using the principle of conservation of energy, a. Calculate the height H. b. Calculate the speed of the roller-coaster car after climbing the 10 m hill shown in the figure. Ignore friction. c. What is the change in kinetic energy as the car goes a....

A page is to have a total area of 96 square inches. The top and bottom...

A page is to have a total area of 96 square inches. The top and bottom margins will be 1 inch each, and the left and right margins will be 11⁄2 inches each as shown in the figure below. Required: a) What should be the overall dimensions “x” and “y” that will maximize the area of the space inside the margins (the printed area)? b) Also give the proof that these values of “x” and “y” will maximize this area.

Three jars each have volume V and height h, but they have different shapes as shown...

Three jars each have volume V and height h, but they have different shapes as shown in (Figure 1) . Water is to be added to each jar and the pressure is to be measured right at the bottom of each jar. Figure 1 Part A Rank the jars in order of decreasing pressure if the volume of water is V. Rank from largest to smallest. To rank items as equivalent, overlap them. Pa, Pc , Pb or correct ranking...

A water tank consists of a cylindrical part of radius r and height h and a hemispherical top. The tank is to be constructed to hold 600 m3

A water tank consists of a cylindrical part of radius r and height h and a hemispherical top. The tank is to be constructed to hold 600 m3 when filled. The surface area of the cylindrical part is 2πrh, and its volume is πr2h. The surface area of the hemispherical top is given by 2πr2, and its volume is given by 2πr3/3. The cost to construct the cylindrical part of the tank is $400 per square meter of surface area;...

An open-top cylindrical container is to have a volume of 729 cm3. What dimensions(radius and height)...

An open-top cylindrical container is to have a volume of 729 cm3. What dimensions(radius and height) will minimize the surface area?

Prove: If [P(H)] holds, then all Saccheri quadrilaterals have accute top angles.

You are shooting a rectangular target with width w and height h. Assume that hitting any...

You are shooting a rectangular target with width w and height h. Assume that hitting any point inside the rectangle is equally likely. Let X be the distance of the point you hit to the center of the rectangle. Find the PDF, CDF, mean and variance of X.

Suppose you collect data on people’s height from a sample of 100 people. The average height...

Suppose you collect data on people’s height from a sample of 100 people. The average height in the sample is 66, and the standard deviation of the sample meanis 3 inches. Calculate the 95% confidence interval for the average height in the population At the 12% significance level, test the hypothesis that the average height in the population is 69 inches. Use the four steps we discussed in class. Calculate the p-value for the hypothesis that the average height in...

Suppose that among a group of sick people 10 have a headache (h), 10 have a...

Suppose that among a group of sick people 10 have a headache (h), 10 have a stomach ache (s), and 10 have a fever (f). If 4 have (h) and (s), 4 have (s) and (f), 4 have (h) and (f), and 1 person has all three symptoms, then there were 19 people in this group who had at least one of the three symptoms. True or False?

Question