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A piece of steel is in the form of a tetrahedron whose base is a right-angled triangle. The sides forming the right-angle are 5 cm and 6 cm long respectively. If the height of the tetrahedron is 7 cm, calculate its volume. If the tetrahedron is melted down, calculate the length of bar of diameter 20 mm that can be made from it, assuming no waste.
The mean height of the grade nine students at a certain high school is 164 centimeters and the
standard deviation is 10 centimeters. Assuming the heights are normally distributed, what
percent of the heights is greater than 168 centimeters?
What is the HOMO for C2
The following data are the heights of four students in centimeter; 110, 125, 120, and 130. Suppose sample size of 2 is to be taken from the population of four students. What will be the probability when the sample mean is 115?
Find the magnitude and direction of the vector represented by each of the following pairs of components:
(a) π΄π₯ = 3.0 ππ, π΄π¦ = β4.0 ππ;
(b) π΄π₯ = β5.0 π, π΄π¦ = β12.0 π;
(c) π΄π₯ = β2.0 ππ, π΄π¦ = 3.0 ππ.
1.Β Write a program to declare a structure and inside it is a non-static method that returns the area of a rectangle.
Β
Test Data and Sample Output:
Input the dimensions of a rectangle:
Length: 60
Width: 30
Expected Output:
Length: 60
Width: 30
Area: 1800
The equation of motion:
r = -10i + 15t j + 5t2k
Q: (1)The average velocity from t=Is to t=2s
(2) The instantaneous velocity and acceleration at t=2s.
Show that ( p β q) β§ ( q β r) β ( pβ r) is a tautology by using truth table or rules of
logical equivalence
A tall fat and skinny girl athlete of mass 55 kg throws a ball of mass 0.80kg against a wall. The ball strikes the wall horizontally with a speed of 25m/s and it bounces back with the same speed. The ball is in contact with the wall 0.050s. Determine the magnitude of the average force exerted on the wall by the ball?
1.Which of the following is the solution of the equation below?
0x + 0y = 0
1. (0,0,0).
2. (1,0,0).
3. No such solution exists
4. Infinitely many solution or (-1,2,1).
#339914 on Dec 2023