The answer is the last option:
Explanation:
1. You have that the equation of the line is:
Where is the slope of the line and
is the intercept with the y-axis.
2. Therefore, you must find .
3. Then, you must substitute the points given in the problem and the slope into the equation of the line and solve for , as following:
The Venn diagram
is attached in the figure.
Total number of students = 32
Number of students have a dog = 0.5 *32 = 16
Number of students have a cat = (3/8) * 32 = 12
Number of students have other pets = 6
Number of students have no pets = 5
From the Venn diagram:
Number of students have a dog = x+y+z+10
Number of students have a cat = x+z+w+9
Number of students have other pets = y+z+w+2
Total number of students have no pets = 32 – (x+y+z+w+21)
So, as a conclusion for the above information
x+y+z+10 = 16 (1)
x+z+w+9 = 12 (2)
y+z+w+2 = 6 (3)
32 – (x+y+z+w+21) = 5 (4)
By solving the system of equations to find x , y , z , w
x = 2 , y = 3 , z = 1 , w = 0
By using Venn diagram
Number of students <span>have all three types of pets</span> = z = 1 student
Answer:
125.6 sq ft.
Step-by-step explanation:
To find the Surface Area of the cylinder, we will need to solve for the area of both bases and the rectangle around the cylinder. We can do this by:
------------------------------
Area of bases: ()
Since we have two bases, we can simply multiply by 2, giving us:
12.56×2= 25.12
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Area of the rectangle: ()
12.56×8= 100.48
Add these two together, giving us:
100.48+25.12= 125.6 sq ft.