Answer:
The percentage of the people surveyed that have a cat is 68%
Step-by-step explanation:
we know that
To find the percentage of the people surveyed that have a cat, multiply the given fraction by 100
so
Answer:
13. 169π ft²
16. 34π mm
17. 12π in
18. 441π m²
Step-by-step explanation:
Circumference of a circle is calculated as follows:
C = 2π*r
Area of a circle is calculated as follows:
A = π*r²
where <em>r</em> is the radius of the circle
13. circumference of the circle: 26π ft
Then, its radius is:
26π = 2π*r
r = 26π/(2π) = 13 ft
A = π*13² = 169π ft²
16. area of the circle: 289π mm²
Then, its radius is:
289π = π*r²
r = √289
r = 17 mm
C = 2π*17 = 34π mm
17. area of the circle: 113.1 in²
Then, its radius is:
113.1 = π*r²
r = √(113.1/π)
r = 6 in
C = 2π*6 = 12π in
18. circumference of the circle: 131.95 m
Then, its radius is:
131.95 = 2π*r
r = 131.95/(2π)
r = 21 m
A = π*21² = 441π m²
Answer:
40 units
Step-by-step explanation:
Given:
Perimeter of ∆ABC = 85 units
AC = 4z
AB = 3z + 3
BC = z + 2
Required:
Numerical value of AC
SOLUTION:
Perimeter of ∆ = sum of all its sides
Perimeter of ∆ABC = AC + AB + BC
85 = 4z + (3z + 3) + (z + 2)
Use this equation to find the value of the variable, z
Collect like terms
Subtract 5 from both sides
Divide both sides by 8
AC = 4z
Plug in the value of x
AC = 4(10)
AC = 40 units