Search & Filtering
10 cats caught 10 rats in 10 seconds. How many cats are required to catch 100 rats in 100 seconds?
eel rods supplied by two different companies were compared. Ten sample springs were made out of the steel rods supplied by each company, and a measure of flexibility was recorded for each. The data are as follows:
A university has analyzed the results of 1,000 students after the first year examinations. The result of the analysis is summarized below
Types of sponsorship
Examination results
Government
Private
Church
Students who were to be discontinued
155
150
105
Students who passed the examination
180
195
170
Students who were to sit for a supplementary paper
20
5
20
Required
The probability that a student was discontinued or was required to sit for a supplementary
Given two similar triangles, one with small measurements that can be accurately determined, and the other with large measurements, but at least one is known with accuracy, can the other two measurements be deduced? Explain and give an example.
The similarity of triangles gives rise to trigonometry.
How could we understand that the right triangles of trigonometry with a hypotenuse of measure 1 represent all possible right triangles? Ultimately, the similarity of triangles is the basis for proportions between sides of two triangles, and these proportions allow for the calculations of which we are speaking here. The similarity of triangles is the foundation of trigonometry.
Bongi supplies trays of fresh sandwiches to offices daily. Her daily fixed costs amount to R844
R844, while her variable cost is R27
R27 per tray. Bongi's total cost and marginal cost functions (in terms of the number of trays supplied, Q
Q) are given by
Bongi supplies trays of fresh sandwiches to offices daily. Her daily fixed costs amount to R844
R844, while her variable cost is R27
R27 per tray. Bongi's total cost and marginal cost functions (in terms of the number of trays supplied, Q
Q) are given by
Estimate the values of c that satisfy the conclusion of the Mean Value Theorem on the interval (0,8). Enter your answer as a comma-separated list. Round to one decimal.
The following points define quadrilateral ABCD:
A (1, -5, 2)
B (8, -5, 7)
C (-13, 10, 7)
D (8, -2, -2)
Prove wether this shape is best described as a:
a) Square
b) Rectangle
c) Rhombus
d) Parallelogram
e) Kite
f) None of the above
There is a triangle formed by the intersection of the following lines:
r1 = [0,1,7]+s[15,6,-12]
r2 = [4,-4,8]+s[4,-5,1]
r3 = [4,-4,8]+s[4,-5,1]
Find the area of this triangle
There are two planes:
x+4y-3z+12=0 and 2x+8y-6z+4=0
a) Explain how I know these planes are parallel and distanced?
b) How far apart are these lines?
