Answer:
83.79 cm²
Step-by-step explanation:
(please refer to attached)
recall that the volume of a cone is given by
V = (1/3) π r² h
where
r = radius = given as 4 cm
h = height = given as 5 cm
assume π = 3.142
substituting the values into the formula:
V = (1/3) π r² h
V = (1/3) (3.14) (4)² (5)
V = 83.79 cm²
Answer:
The sum of 3 consecutive integers is 13 more than twice the smallest integer. Find the integer.
x + (x+1) + (x+2) = 2x + 13
3x + 3 = 2x + 13:
3x - 2x = 13 - 3
x = 10 is the smallest integer:
Check: 10 + 11 + 12 = 2(10) + 13
Answer:
a and b
Step-by-step explanation:
Question 1
Let the scale factor be k.
Then, we have the mapping
This implies that:
We equate any corresponding component find the value of the scale factor k.
6k=2
Hence the scale factor is
Question 2:
The midpoint of any two points can be calculated using the formula;
We want to find the midpoint of (-8, 5) and (2, -2).
The midpoint is: