Answer:
I. Volume = 301.6 cm³ (to 1d.p)
II. CSA = 188.5 cm² (to 1d.p)
Step-by-step explanation:
<u>Given the following data;</u>
Height, h = 8cm
Radius, r = 6cm
Curved length = 10cm
a. To find the volume of the cone
Where;
- V is the volume of the cone.
- r is the radius of the base of the cone.
- h is the height of the cone.
Substituting into the equation, we have;
<em>Volume = 301.6 cm³</em><em> </em>(to 1d.p)
b. The curved surface area of the cone
Where;
- CSA is the curved surface area of the cone.
- r is the radius of the base of the cone.
- l is the curved length of the cone.
Substituting into the equation, we have;
<em>CSA = 188.5 cm²</em> (to 1d.p)
n, n + 2 - two consecutive odd integers
196 - the sum
The equation:
n + (n + 2) = 196
n + n + 2 = 196 |subtract 2 from both sides
2n = 194 |divide both sides by 2
n = 97
n + 2 = 97 + 2 = 99
Answer: 97, 99.
The answer is 150 parents. Because 450/3=150
Answer:
<h2>
A. is a list of population elements from which the sample will be drawn</h2>
Step-by-step explanation:
Sampling frame is the list of people or items from which a sample is taken.
Sampling is used because it is almost impossible to study entire population. Sampling allows us to find information about a population on the basis of results from a subset of the population, without studying every individual. It is easier and cost effective process.
Answer:
(a) 2x + 4y ≥ 3 ; 2x + 4y ≤ 3
Step-by-step explanation:
When inequalities are involved, the resulting solution is generally a region since for a value of x, we have y greater than or less than a particular value and vice versa.
When a system of equations with inequalities are solved, the intersection of all the equations in the system is the solution.
In the first option, we see that the both equations have 2x+4y=3 as common. So, it is the solution of the first system of inequalities.
Similarly, the solution of second system of inequalities is 2x+4y>3 and the third system is none since they don't intersect at all.
Here, 2x+4y > 3 denotes a region and 2x+4y=3 is the equation of a straight line.
Hence the first system has a solution that is a line.
