The area of the circle is determined through the equation,
A = πr²
Plug in the value of area
36 in² = πr² ; r = 3.385 in
The formula for the circumference of the circle is,
C = 2πr
Substitute the value of radius,
C = 2π(3.385 in) = 6.77π in
Thus, the circumference of the circle is 6.77π inches.
Answer:
0 < x ≤ 12 and 0 < y ≤ 36
Step-by-step explanation:
Here, x represents the number of female gazelles and y represents the number of male gazelles.
The zoo only has room for 12 female gazelles.
∵ The number of rooms must be more than or equal to the total female gazelles ,
12 ≥ x
Also, number of animals can not be negative,
And, it must be greater than 0.
⇒ 0 < x ≤ 12,
⇒ 3(0) < 3x ≤ 3(12)
⇒ 0 < 3x ≤ 36
∵ Number of males gazelles = 3 × number of female gazelles
⇒ y = 3x
⇒ 0 < y ≤ 36
Hence, the constraints to represent a thriving population of gazelles at the zoo are,
0 < x ≤ 12,
0 < y ≤ 36
You would use the pythagorean theorem. a² +b² =c²
side² +side² = hypotenuse²
So for 1) 8² + 15² = c²
64+225=c²
289=c²
√c² = √289
c = 17
2. 7²+24² =c²
49+576= c²
c²=625
√c²= √625
c = 25
3. 5²+13²=c²
25+169=c²
c² = 194
√c² = √194
c = 13.93
4. 24² + 45² =c²
576 + 2025 =c²
c² = 2601
√c² = √2601
c = 51
5.
Plug each choice into the pythagorean theorem. a² +b² =c²
3²+4² = 5²
9+16= 25
25=25
6²+8²=10²
36+64=100
100=100
16²+63²=65²
256+3969=4225
4225=4225
8²+9²=10²
64+81=100
145=100 Since 145 does not equal 100 it is not a right triangle
85% of 40.
85/100 = .85
.85 * 40 = 34
Answer: 34
