Answer:
Step-by-step explanation:
Given :
Total students = 30
Students passed chemistry exam = 20
Students passed physics exam = 14
Students passed both exams = 6
To find: Venn diagram
Solution:
Total students = 30 i.e. U = 30
Students passed chemistry exam = 20
Students passed physics exam = 14
Students passed both exams = 6
Students passed only chemistry = 20-6 =14
Students passed only Physics = 14-6=6
So refer the attached figure for the Venn diagram
Answer:
10
Step-by-step explanation:
1+6=7
7-2=5
5+5=10
We are given
length of rectangular yard is x
so, 
width of rectangular yard is
so, 
We are given
the length of the enclosed yard is 50 feet
so, we get

now, we can plug x=50 and then we can find width


now, we can find total fencing length
so, total fencing length is

now, we can plug values


now, we are given
the cost of fencing is $13 per foot
so,
total cost = (cost of fencing)*(total fencing length)
we can plug values


So, Janice will spend $4030.........Answer
In a graph the roots of the function are given by the cut points with the x axis.
On the other hand, we have the following equation:
y = -x2 - x + 6
To find the roots, we equate to zero:
-x2 - x + 6 = 0
Rewriting we have:
x2 + x - 6 = 0
(x-2) (x + 3) = 0
The roots are:
x1 = 2
x2 = -3
Answer:
The roots are:
x1 = 2
x2 = -3
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone =
r² +
r
(where r = radius of the base and
= slant height)
Given slant height
= 10 and surface area = 188.5
Surface area =
r² +
r
188.5 =
r² + 10
r
r² + 10
r - 188.5 = 0
r =
= 4.219621117...
Volume of a cone = (1/3)
r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of
using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² =
²
h² =
² - r²
h = √(
² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)
r²√(
² - r²)
Given slant height
= 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)