What we know:
shape is circular
Area=64π yr²
Area=πr²
circumference=2πr
In order to find circumference we need r=radius. We can use the area to find r by solving for r using substitution of the information we know above.
Area=πr²
64π=πr² substitution
64π/π=π/πr² multiplicative inverse
64=r²
√64=√r² properties of radicals
8=r We would get two solutions, a positive and negative one but we will only use the positive solution since radius is positive
Circumference=2πr
C=2π(8)=16π yards
Mixed number: 2 3/4
improper fraction: 11/4
Answer:
1) 13 ft
Step-by-step explanation:
1) 13+8=21 which is greater than 15. Would be a triangle.
2) 7+8=15 This would be a single line, not a triangle.
3) 3+8<15 This would be a single line, not a triangle.
2) 15+8=23 This would be a single line, not a triangle.
Answer:
2⁰ + 2¹+ 2⁵ +2³ = 43
Step-by-step explanation:
since 43 is odd, we know 2⁰ or 1 must be one of the sums
43 - 2⁰ = 42
42 - 2¹ = 40
16 = 2⁴
40-2(16) = 40 - 2⁵ = 8
8 = 2³
adding this all together
2⁰ + 2¹+ 2⁵ +2³ = 43